Suppose an environmental agency would like to investigate the relationship betwe

Question

Suppose an environmental agency would like to investigate the relationship between the engine size of sedans and the miles per gallon (MPG) they get. The accompanying table shows the engine size in cubic liters and rated miles per gallon for a selection of sedans. Use this information to complete parts a through EEB Click to view the table showing engine size and MPG for 9 car models. OA. OD. 32 19 32 1.9 19 32 1.9 b. Calculate the slope and y-intercept for the regression equation The slope is b4.383 (Round to three decimal places as needed.) The y-intercept is a- 36.711. (Round to three decimal places as needed.)

Explanation / Answer

d. Solution :

Given that slope b = -4.383 , y-intercept a = 36.711

=> The equation of the regression line is Y = a + b*x = 36.711 + (-4.383)*x

=> The best predicted MPG for a sedan with a 2.5 litre engine is 25.8 MPG

=> Y(2.5) = 36.711 + (-4.383)*2.5
= 25.8 (rounded)

  

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