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 the parts below.

Engine_Size, MPG
2.5, 25
2.1, 31
2.6, 25
3.3, 22
3.6, 23
2.1, 28
2.5, 23
2.1, 29
3.7, 21

a) Construct a scatter plot for the data.

b) Calculate the slope and​ y-intercept for the regression equation. ​(Round to three decimal places as​ needed.)

c) Because the slope is (positive, negative) it can be concluded that one cubic liter increase in engine size will (increase, decrease) the mpg by an average of ________ mpg. ​(Round to three decimal places as​ needed.)

d) Predict the MPG for a sedan with a 2.5​-liter engine. ​(Round to one decimal place as​ needed.)

e) Calculate the SST. (Round to three decimal places as​ needed.)

f) Calculate the SSE. (Round to three decimal places as​ needed.)

g) Calculate the SSR. (Round to three decimal places as​ needed.)

Answer 1

(a) Scatter plot