Question: A study was conducted to determine if the fuel efficiency of a vehicle can be predicted by its weight. The following table is the results

A study was conducted to determine if the fuel efficiency of a vehicle can be predicted by its weight. The following table is the results for 14 vehicles, their weights (in 1000s of pounds) and their fuel efficiency (in miles per gallon). Weighe | 3.1 | 2.6 | 22 | 3.8 | 25 | 2.8 |43 |22 |1.7) 31|23 45| 2|33 MPG |19.3|23.6|27.9|16.9 |23.1|22.1|12.9|34.2 | 31 | 21.4(26.9| 16 | 27| 18.2 A_ Fit a linear regression line to this data. Round your answers to 4 decimal places. = 6.4997 z+ 403929 B. What is the slope of the regtession line? Also provide a suitable interpretation for the slope. Slope = 6.4997 Round your answer to 4 decimal places. @ If the weight of a car increases by 1000 pounds, its miles per gallnn is predicted to decrease by about 6.5 mpg. O If the weight of a car increases by 1000 pounds, its miles per gallon is predicted to increase by about 6.5 mpg. If the miles per gallon increase by 1 mpg, the weight of a car is predicted to increase by about 6.5 thousand pounds. O If the miles per gallon increase by 1 mpg, the weight of a car is predicted to decrease by 6.5 thousand pounds. C. What is the y-intercept of the regression line? Also pmvide a suitable interpretation for the intercept, iFappmpriate. 1f not appropriate, explain why not. Intercepr = 40.3929 Round your answer to 4 decimal places. If miles per gallon is 0, the weight of a car is predicted to be 41.5 thousand pounds. O It is not appropriate to interpret the intercept in this case because the miles per gallon of 0 mpg is outside the scope of the model. It is not appopriate to interpret the intercept in this case because the weight of 0 pounds is outside the scope of the model. If the weight of a car is zero, the miles per gallon is predicted to be 41.5 mpg. D. Use the model equation you computed in part A to estimate the miles per gallon of a vehicle that weighs 3 thousand pounds. 21.9 Round to 1 decimal place. You may use the following built-in tool to answer the questions. If at any point you wish to reset the tool to the initial state, click on the \"reset\" button below it
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