re: 0 of 1 pt 2.21 engineer wants to determine how the weight of a car, x, affec

Question

re: 0 of 1 pt 2.21 engineer wants to determine how the weight of a car, x, affects gas mileage, y The following data represent the weights 27 of 30 (27 complete) of various cars and their mie Car Weight (pounds), 2525 3085 3330 3865 4165 Miles per Gallon, y 332 26.1 299 25 205 a) Find the least-squares regression line treating weight as the explanatory variable and mles per gallon as the response variable Write the equation for the least-squares regression line Round the x coefficient to five decimal places as needed Round the constant to one decimal place as needed) Enter your answer in the edit fields and then click Check Answer. remaining O Type here to

Explanation / Answer

The regression equation is

y=a+bx

from Excel

The fitted model is

y=49.79 - 0.007(x)

SUMMARY OUTPUT Regression Statistics Multiple R 0.898051 R Square 0.806496 Adjusted R Square 0.741995 Standard Error 2.460927 Observations 5 ANOVA df SS MS F Significance F Regression 1 75.72351 75.72351 12.50355 0.038473 Residual 3 18.16849 6.056163 Total 4 93.892 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 49.78738 6.554358 7.596073 0.004734 28.92849 70.64627 28.92849 70.64627 x -0.00673 0.001904 -3.53604 0.038473 -0.01279 -0.00067 -0.01279 -0.00067

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