The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r= -0.992. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable is y = -0.0073x + 45.2243. Complete parts (a) through (c) below. Click the icon to view the data table. en faodah roj beper, gallo (a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon? The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is (Round to one decimal place as needed.) %. 0 Data Table Full data set Car Miles per Gallon, y Car 17 Weight (pounds), x 3,765 3,984 3,530 3,175 2,580 3,730 Car 8 Car 9 Car 10 Car 11 Weight Miles per (pounds), x Gallon, y 2,605 3,772 3,310 2,991 2,752 Car 4 Car 5 Car 6 18 Print Donea) The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is ____% . (round to one decimal place as needed)
b) Interpret the coefficient of determination.
____% of the variance in gas mileage/weight is explained/not explained by the linear model.