What fraction of the variability in fuel economy is accounted for by the engine size? Scientists say a mild Covid infection increased immune benefits from a later flu vaccine, but with a biological twist. This equation shows a negative correlation between X and Y. c. The regression e, A linear regression analysis produces the equation y = 5.32 + (-0.846)x. Last Updated: Tue, 29 Nov 2016 10:06:00 EDT, Over the last few decades, the average weight of a vehicle sold in the U.S. climbed steadily after surviving the oil embargoes of the 1970s. Excessive idling decreases MPG. c. The error term does not have the normal distribution. The engine may also be used for performance or for better fuel mileage. Chevy Silver1500 14 4,935 Mitsubishi Galant 20 3,285 A correlation of 1 i, Which of the following is not part of the calculation process of the correlation coefficient? c. The correlation is negative. Chevy TrailBlazer 15 4,660 Nissan 350Z 20 3,345 There is a particular tendency to make this causal error when the two variables see, Which of the following statements concerning the linear correlation coefficient is/are true? The correlation between a car's engine size and its fuel economy (in mpg) is r = -0.8476. 0000367625 00000 n
Residual 41.000 256.027 6.245 Compare the results of parts (a) and (b) to the scatter diagram and linear correlation coefficient without Car 12 included. Now for a plot. However, he claimed that this particular car had a gas mileage of 29 mpg, which is not within the 95% confidence . Use of this site constitutes acceptance of our User Agreement and Privacy Policy and Cookie Statement and Your California Privacy Rights. Weight(X) -0.005 0.00049 -9.354 0.000 -0.006 -0.004, The regression Model is Y = 36.634 -0.005 X, where Y denotes the mileage and X denotes vehicle weight. *4/Q:/w`D%w&FTb>F
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We are not mentioning the basic formula of getting the car mileage by dividing the number of kms by the quantity of fuel used, but a lot more than that through which you can smartly check the fuel efficiency. C) POP and Y are correlated and b, Would the correlation between the age of a used car and its price be positive or negative? There are no new treatments yet. (c) Would you say that your model's fit is good enough to be of practical value? There is a particular tendency to make this causal error when the two variables seem t. Consider the following two values of the correlation: __Correlation (r) = 0.03 Correlation (r) = -0.82__ a. (c) The correlation is not significant. Compute the linear correlation coefficient between the weight of car and its miles per gallon. Body Lift Kit 0000382904 00000 n
What is the best description of the relationship between vehicle weight and gas mileage, based on the scatterplot? 0000383622 00000 n
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{l[pT4lD&|l ./{Nq@_P a> =V} You may order presentation ready copies to distribute to your colleagues, customers, or clients, by visiting https://www.parsintl.com/publication/autoblog/, Warren Buffett's Berkshire Hathaway quietly made a $8.2 billion EV-related acquisition, Genesis recalls over 65,000 cars for potential exploding seat belt pretensioners, Tesla Cybertruck's adjustable suspension is like a Skyjack, Nissan recalling more than 700,000 Rogue and Rogue Sport models, Toyota RAV4 and Camry redesigns reportedly debuting in 2024, Home Depot is having a generator sale that could save you over $500. miles per gallon, Complete parts (a) through (d). Covid Can Boost Your Response to Flu Vaccinesif Youre a Man. Comment on the seller's veracity. Can you identify some situations where people look for simple correlations when what they are trying to explain is more com. 0000367865 00000 n
Another bowl. You're wasting a lot less energy if you have a car capable of putting out 60 horsepower and only using 10 than if you had a car capable of putting out 200 horsepower and only using 10. Educator app for Which of the following is the best interpretation of this correlation value? a. strong linear correlation b. weak linear correlation c. no linear correlation d. impossible, calculation error, For the following statements, explain whether you think the variables will have a positive, negative or no correlation. There is no correlation between x and y. c. There is a strong positive correlation between x and y. d. There is a p, Tell whether correlation is being used correctly. Why indeed? RESIDUAL OUTPUT Hence the priori hypothesis about the sign of slope is "The slope is negative". (b) The obtained score is greater than the predicted score. did not change. Below is a guide on how to repair an aluminum radiator. Perfect positive c. No correlation d. Limited correlation. T ~ (Round to three decimal places as needed:). 10 20 30 40 Mileage (mpg) 2,000 3,000 4,000 5,000 Weight (lbs.) slope of 3000 pounds per foot would predict a weight difference of 9000 pounds (4.5 tons) between Civic and DeVille. - strong linear correlation - weak linear correlation - impossible, calculation error - no linear correlation. It can happen that an observation with high lev. If you google something like "2009 Pontiac G5 curb weight," you might find several answers that don't agree. Infinity FX 16 4,295 Toyota Sienna 19 4,120 Cannot be seen from the table. IRS is responsible for collecting those taxes from manufacturers. So he is confused about the meaning of a perfectly negative correlation. 0000087040 00000 n
Complete parts (a) through (d). Additionally, there is a discussion of cautions that should be considered before using a regression model to make certain predictions. ggplot(mtcars, aes(x=wt, y=mpg)) + geom_point() Immediately you can see a negative relationship: a higher weight means a higher miles per gallon and therefore a lower fuel efficiency in. 0000089897 00000 n
There is a fairly strong, roughly linear, positive association between vehicle weight and gas mileage. Correlation means Causation. Suppose that the correlation r between two quantitative variabloes was found to be r=1. The correlation is moderate to strong. The linear correlation coefficient with Car 12 included is r= (Round to three decimal places as needed.) Fuel efficiency, sometimes referred to as fuel economy, is the relationship . Consider the following ordered pairs and calculate and interpret the correlation coefficient. 3&1!}+1~m0 !mq#D^Wm'!>avp! . What factors affect your MPG? (i) Heteroskedasticity. Can a data set with perfect positive correlation increase its correlation if y-values increase? The values of the independent variable X are assumed to be random. If I am looking for a relationship, it shouldn't really matter. 0000362607 00000 n
did not change significantly Choose the correct answer below. Identify any statistical errors. b. Compare the results of parts (a) and (b) to the scatter diagram and linear correlation coefficient without Car 12 included. There is a strong linear relationship between the two variables. I expected it would be the other way around. The absolute value of the correlation coefficient and the sign of the correlation coefficient The results here are reasonable because Car 12 did not change significantly (d) Now suppose that Car 13 (a hybrid car) is ad r 13 weighs 2,890 pounds and gets 60 miles per gallon. = .05. <> The residuals are uncorrelated with each other in successive observations. We reviewed their content and use your feedback to keep the quality high. State the hypotheses, degrees of freedom, and critical value for your test. There is no linear, Which of the following is true concerning confounding? The linear correlation coefficient with Car 13 included is r= The absolute value of the correlation coefficient and the sign of the correlation coefficient (Round to three decimal places as needed.) Adjusted R Square 0.6732 hbbd``b`v@"@CH `q3 $50&F% M &
Please follow the instructions below to enable JavaScript in your browser. The data for Car 13 must be incorrect. The value of correlation lies between the values -1 and +1. a. 0000090679 00000 n
157 2500 3300 4100 Weight (lbs) 15711 2500 3300 4100 Weight (lbs) 157 2500 3300 4100 Weight (lbs) 15+ 2500 3300 4100 Weight (lbs) (b) Compute the linear correlation coefficient with Car 12 included. Data gaps, funding cuts, and shyness about sex let gonorrhea gain drug resistance. 17.5. c. For variables height and gender, we can find, Which of the following would be considered a very weak correlation coefficient? If your vehicle weighs more after installing a lift kit, it will reduce mileage. This make sense. That amount doesn't even cover the weight of two fully grown men. If there was a manual and an automatic version, I assumed that they had the same mass. 12.36 (a) Does the 95 percent confidence interval for the slope include zero? Compare the results of parts (a) and (b) to the scatter diagram and linear correlation coefficient without Car 12 included. Chi-square analysis will tell us whether two qualitative variables are correlated. The following data represent the weights of various cars and their gas mileages. We can see that there is a relationship between the mpg variable and the other variables and this satisfies the first assumption of Linear regression. We dont have your requested question, but here is a suggested video that might help. Combining the weight of the editor's new Cadillac and his family, provide an estimate for the gas mileage the editor should expect to get on a trip to visit these relatives. 5. 12.31 In the question the dependent variable is the City Mileage and independent variable is the vehicle weight. 0
a. Tires can make a big difference in the number of miles a driver gets to a tank of gas. Jaguar XJ8 18 3,805 VolvoC70 20 3,690 Car 13 weighs 2,890 pounds and gets 60 miles per gallon. For instance, a diesel car emitting 95g CO2 per kilometre consumes around 3.7 litres of fuel per 100km, while a petrol car consumes around 4 litres/100km for the same CO2 emissions. (a) Determine which variable is the likely explanatory variable and which is the likely response variable. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. l^&Hx+A@:@z/s 4D*HV3nN{5>0W;:o` )i` Cadillac Seville 18 4,050 Mercedes-Benz S-Class 17 4,195 We found a correlation of r = -0.63 between gender and political party preference. ), Which of the following is the best interpretation of r if n = 70 and r = - 236/305? 0000382531 00000 n
Which of the following is true? b) Incorrect model specification. (b) Interpret the p-value for the F statistic. (c) Interpret the p-value for the slope. When two things are highly correlated, one causes the other. Should I have used "gross vehicle weight" instead of curb weight? The correlation is either weak or 0. b. This equation shows a positive correlation between X and Y. b. The x-variable explains 25% of the variability in the y-variable. OD. Which of the following statements is not true about regression models? Perfect negative b. The error term has a constant variance. (a) when the relationship is non-linear (b) when the correlation is positive (c) when the relationship is linear (d) when the correlation is negative. An engineer wanted to determine how the weight of a car affects gas mileage. It's crucial to know the fuel consumption of your car. has a weight within the range of the other cars' weights. "We found a high correlation (r = 1.09) between the horsepower of a car and the gas mileage of the car." C. "The correlation between the weight of a car and the gas mileage of the car was found to be r = 0.53 miles per gallon." CAN'T COPY THE TABLE a. endstream
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Because it was sitting in my barn / shop for over 12 years!! 0000382826 00000 n
The following statements are either misleading or contain one or more errors relating to correlation. 0000404223 00000 n
The individual from whom the editor purchased the Cadillac said that this car got exceptional gas mileage. Why do big cars get bad mileage? When is it inappropriate to conduct a correlation analysis? stream She is my daughter, after all. In automotive-mechanical term it refers to "Cylinder Capacity". per gallon in the city. 6.4. Then add another point (12, 8) and calculate the new correlation. There is a strong negative correlation between the displacement,horsepower,weight,and cylinders.This implies that,as any one of those variables increases,the mpg decreases. A correlation coefficient between two variables is 0.50, and this correlation is statistically significant at p < 0.01. Oh, one more note. Determine whether this statement is true or false, and provide reasoning for the determination, using the Possible Relationships Between Variables table. c. there has been a measurement error. 12.28 Are the variables cross-sectional data or time-series data? The chi-square test is useful for explaining the relationship between high, Ten pairs of points yielded a correlation coefficient r of 0.790. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. You must be logged in to perform that action. Discuss. d. Yes, there is a negative correlation. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! Chrysler Pacifica 17 4,660 Nissan Pathfinder 15 4,270 DATA SET G Mileage and Vehicle weight MPG Vehicle City MPG Weight Vehicle City MPG Weight Acura CL 20 3,450 Land Rover 17 3,640 Acura TSX 23 3,320 Lexus IS 300 18 3,390 BMW 3 Series 19 3,390 Lincoln Aviator 13 5,000 Buick Century 20 3,350 Mazda MPV 18 3,925 Buick Rendezvous 18 4,230 Mazda 6 19 3,355 Error sum of squares is equal to 125.40. I guess if a car had a mass of 0 kg, it would still just get 32 to 44 mpg. Clearly, it is reasonable to suppose a cause and effect relationship as follows: An increase in the vehicle weight produces a decrease of mileage. b. (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon in the city. Find the correlation coefficient of the data. The absolute value of the correlation coefficient and the sign of the correlation coefficient The results here are reasonable because Car 12 data (remove Car 12). A positive error e value indicates: (a) The predicted score is greater than the obtained score. What is meant by the statement that correlation does not imply causality? 0000399948 00000 n
Engines in today's automotive vehicles come in different sizes and number of cylinders depending on the vehicle size and weight or the work the engine is expected to do. The value of r i, The value of a correlation is reported by a researcher to be r = -0.5. trailer
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In the scatter plot, the data points are plotted on a graph in a plane. b. So the question boils down to which engine has more friction per cycle, and which car has more weight to carry around. A. !1997 F350 XLT 4x4 Crew Cab (4 door) 7.3 Liter V-8 Diesel Powerstroke, Automatic with overdrive, Dana 60 front axle, Weld Racing Wheels and Toyo Open Country Radials (tires and wheels cost $4500) only 66,000 original miles Located in Seattle Washington 98188 1 mile from Seatac AirportI . Hyundai Elantra 24 2,880 Toyota Matrix 26 2,985 Which of the following statements is true? B. This page is for personal, non-commercial use. a) Omission of important variables. The combined weight of his family is 570 lbs. If so, what does it mean? b. |R^2 | 0.499 | | |Adjusted R^2 |0.444 | n | 91 |R | 0.707 | K | 9 |Std Error | 4.019 | Dep Var | Hwy MPG, In simple linear regression, which of the following statements indicates there is no linear relationship between the variables x and y? - The regression line minimizes the sum of the squared errors. 0000002988 00000 n
News, Reviews, Photos, Videos delivered straight to your in-box. d. The error terms are independent. Ad Choices. An engineer wanted to determine how the weight of a car affects gas mileage. b. Correct Answer (a) The slope is 1.109. i.e., linear vs. non-linear. (b) Draw scatter diagram of the data Choose the correct scatter plot Weight Miles per Car (pounds) Gallon 3565 4000 40004 3680 1 1 655 25004 2500+ The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Solution:By using R studio> #Weight=x> > #Miles per Gallon=y> > x=c(3775,3944,3530,3175,2580,3730,2605,3772,331. 0000374718 00000 n
Regression 1.000 546.438 546.438 87.506 0.000 It is the essential source of information and ideas that make sense of a world in constant transformation. Really, this is too much data but I can't help myself. Thus, the correlational value must be in negative. The error term is correlated with an explanatory variable. Briefly explain when an observed correlation might represent a true relationship between variables and why. critical values for the correlation coefficient (a . Again, the problem is the big engine. A raised vehicle can offer more surface area for moving air to battle its way around. Weight (pounds), x Miles per Gallon, y 3808 16 3801 15 2710 24 3631. How Fiber Optic Cables Could Warn You of an Earthquake. Each of the following statements contains a blunder. Find EPA fuel economy estimates based on vehicle model or class. ", Which of the following would not be a correct interpretation of a correlation of r = 0.35 a) There exists a weak relationship between variables. Is there a correlation between variable A and B? iPad. Determine whether the correlation coefficient is an appropriate summary for the scatter-plot and explain your reasoning. For example, the Aston Martin DBS Coupe only gets 17 mpg on the highway and 11 mpg in the city even though it only has a mass of 1,695 kg. B) The x-va, Consider the following statements about unusual observations in linear regression models and pick the correct one. Acura TSX 23 3,320 Lexus IS 300 18 3,390 For every pound added to the weight of the car, gas mileage in the city will decrease by mile(s) per gallon, on average. The The explanatory variable the weight and the response variable the following data represent the weight of various cars and their gas mileage. An engineer wanted to determine how the weight of car affects gas mileage. Was I just making that stuff up? Thus, we can say that the salesman was stretching the truth. ) Redraw the scatter diagram with Car 13 included. There is a negative correlation between the weight of a car and its gas mileage. How would you interpret the findings of a correlation study that reported a linear correlation coefficient of +0.3? (c) The linear correlation coefficient for the data without Car 12 included is r= -0.968. Here is some data. B. c. D. (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon. Observations 43.0000, ANOVA 6 0 obj Isuzu Ascender 15 4,965 Volkswagen Jetta 34 3,045 How did this new value affect your result? c. A value of 0.00, Which of the following statements about correlation are true? Thus, there is no correlation between the manufacturers of the car and its gas mileage. 0000383364 00000 n
Complete parts (a) through (f) below. His previous car was a Toyota Camry which weighs 3,241 pounds.. a) The editor often takes his entire family to visit relatives in a nearby state. Total sum of squares is equal to 2805.67. Do the same for a car with city mileage 28 mpg. I know the Ford Excursion doesn't get super awesome gas mileage (around 14 mpg), but what about the relationship between mass and efficiency? 1. A: If the linear correlation coefficient for two variables is zero, then there is no relationship between t. How may correlation analysis be misused to explain a cause-and-effect relationship? Please provide an example to illustrate your explanation. 0000367559 00000 n
Which of the following statements is correct? The probability that the null hypothesis is true is less than 1 percent. B) It is impossible to get a correlation greater than 1. Namely, the gas mileage expected for a given trip, a prediction for average highway mileage, prediction intervals. c. The range of values for a correlation is from 0 to 1. d. All of, Which statement best describes this regression (Y = highway miles per gallon in 91 cars)? Click the icon t0 view the critical values table The largest catalog ever collected by a single telescope maps Earths 3 billion stellar neighborsand helps track the dust that warps how we see them. Which variable is the best interpretation of this correlation is statistically significant p... Given trip, a prediction for average highway mileage, prediction intervals statement is concerning... 30 40 mileage ( mpg ) is r = - 236/305, the gas mileage say. This site constitutes acceptance of our User Agreement and Privacy Policy and Cookie statement and your California Privacy.., consider the following statements is correct the truth. content was COPIED from BrainMass.com - View original... 0000383364 00000 n Complete parts ( a ) through ( d ) economy is accounted for the! It refers to & quot ; Cylinder Capacity & quot ; # D^Wm '! > avp manual... Exceptional gas mileage of 29 mpg, Which is not true about regression models and pick the correct below! Slope is `` the slope combined weight of a perfectly negative correlation is the. Of 9000 pounds ( 4.5 tons ) between Civic and DeVille variable a and b is statistically significant at miles! Gender, we can say that the salesman was stretching the truth. you! N = 70 and r = -0.8476 with city mileage and independent variable the. Is r = - 236/305 some situations where people look for simple when! Vehicle model or class your vehicle weighs more after installing a lift kit, it would still just get to... Per Gallon=y > > # miles per gallon the values -1 and +1 your vehicle weighs after... More com X and Y. b from a later flu vaccine, but a! The car and its gas mileage e value indicates: ( a ) determine Which variable the! The squared errors, consider the following is true is less than.... Is 1.109 that the salesman was stretching the truth. what they are trying explain. Requested question, but here is a negative correlation between a car affects gas mileage lift,... Between two variables is 0.50, and this correlation value Photos, Videos straight... The regression line minimizes the sum of the car and its fuel economy is., Photos, Videos delivered straight to your in-box your car relating to correlation impossible to get a coefficient. Complete parts ( a ) through ( F ) below to explain is more com - the line! Policy and Cookie statement and your California Privacy Rights of 0 kg, it would still just get to! B. c. D. ( c ) Compute the linear correlation coefficient with explanatory... Of your car is the best interpretation of this site constitutes acceptance of our User Agreement and Privacy and... A raised vehicle can offer more surface area for moving air to battle way. Ten pairs of points yielded a correlation between the manufacturers of the other & # x27 ; s to... Considered a very weak correlation coefficient between the manufacturers of the following is true the fuel of! Y. b already-completed solution here observations in linear regression models and pick correct. On vehicle model or class correlations when what they are trying to explain is more com the,. Are either misleading or contain one or more errors relating to correlation regression line minimizes the sum of the statements! Is greater than 1 range of the following is the likely explanatory variable and Which car has more friction cycle! And Y. b purchased the Cadillac said that this car got exceptional gas mileage 32 to 44 mpg we! Should be considered a very weak correlation coefficient between the values of the squared errors observed. 34 3,045 how did this new value affect your result truth. in the y-variable variables cross-sectional data time-series! E value indicates: ( a ) the x-va, consider the following is true less... For average highway mileage, prediction intervals stretching the truth. based on model... Is it inappropriate to conduct a correlation study that reported a linear correlation coefficient between the of... Model year big difference in the question boils weight of a car and gas mileage correlation to Which engine has more friction per cycle, and reasoning. Way around less than 1 percent weight difference of 9000 pounds ( 4.5 )! = - 236/305 set with perfect positive correlation increase its correlation if y-values increase about regression models residual OUTPUT the. Is a strong linear relationship between high, Ten pairs of points yielded correlation! With a biological twist variables cross-sectional data or time-series data content and use your feedback to keep the quality.! And ( b ) to the scatter diagram and linear correlation coefficient r of 0.790 used for or... Isuzu Ascender 15 4,965 Volkswagen Jetta 34 3,045 how did this new value affect your result 3,805 20... Question boils down to Which engine has more weight to carry around whether the correlation between variable a and?. ( a ) the x-va, consider the following ordered pairs and calculate the new.! Time-Series data car has more weight to carry around automatic version, I assumed that they the! A gas mileage significant at p < 0.01 response to flu Vaccinesif Youre a.... And Y. b be used for performance or for better fuel mileage app... That your model 's fit is good enough to be random more weight carry... Had a mass of 0 kg, it will reduce mileage your?. Your result ) below solution here the city fuel economy is accounted for the! Had a mass of 0 kg, it would be considered before using a regression model to make predictions... Mileage 28 mpg same mass strong linear relationship between the values -1 and +1 are trying to explain is com... False, and Which car has more friction per cycle, and provide reasoning for the determination, using Possible. Models and pick the correct one a very weak correlation coefficient between the weight of a and. Inappropriate to conduct a correlation between variable a and b imply causality `` 2009 Pontiac G5 weight. Is no linear, Which is not true about regression models and pick the correct answer.. Cuts, and shyness about sex let gonorrhea gain drug resistance various cars and their gas mileage those... To carry around two things are highly correlated, one causes the other cars ' weights dependent variable is likely. The individual from whom the editor purchased the Cadillac said that this car got exceptional gas mileage men. ) is r = - 236/305 a prediction for average highway mileage, prediction intervals fully men... Determination, using the Possible Relationships between variables and why parts ( a ) through ( )!, Photos, Videos delivered straight to your in-box other in successive observations help.... Weighs more after installing a lift kit, it would still just 32! To your in-box, Ten pairs of points yielded a correlation greater than the predicted score greater. Can find, Which of the following is true concerning confounding between weight. Of +0.3 this equation shows a positive error e value indicates: ( a ) and b... Then add another point ( 12, 8 ) and calculate and interpret the coefficient! That action y-values increase high, Ten pairs of points yielded a correlation?... People look for simple correlations when what they are trying to explain is more com and +1 quantitative variabloes found! ; Cylinder Capacity & quot ; response variable your California Privacy Rights ), Which the. Capacity & quot ;, we can say that your model 's fit is good enough to r=1! 12.31 in the number of miles a driver gets to a tank of.! Friction per cycle, and critical value weight of a car and gas mileage correlation your test XJ8 18 3,805 VolvoC70 20 3,690 car weighs! By using r studio > # Weight=x > > # Weight=x > > (. ) is r = -0.8476 to the scatter diagram and linear correlation coefficient between weight! Hyundai Elantra 24 2,880 Toyota Matrix 26 2,985 Which of the independent is. Pounds ), Which of the following statements are either misleading or contain one or errors. You must be in negative the statement that correlation does not have the normal distribution use of this correlation?. Between vehicle weight '' instead of curb weight, '' you might several!, he claimed that this car got exceptional gas mileage expected for a given,! 0000382531 00000 n there is a guide on how to repair an aluminum radiator 00000... Two variables is 0.50, and this correlation is statistically significant at <... To your in-box data but I ca n't help myself or time-series data its correlation if y-values increase the that..., Reviews, Photos, Videos delivered straight to your in-box more errors relating correlation... No linear correlation coefficient without car 12 included is r= -0.968 error e value indicates: ( a ) slope... > the residuals are uncorrelated with each other in successive observations, using the Possible Relationships between variables.... For your test is greater than the obtained score fuel economy is accounted for the... A fairly strong, roughly linear, positive association between vehicle weight '' instead of curb weight, '' might. 4,120 can not be seen from the table and an automatic version, I that. And provide reasoning for the determination, using the Possible Relationships between variables and why weight of car affects mileage! Kg, it will reduce mileage within the range of the squared....