Question

Use this scenario to answer questions 45-50.

QUESTION 45 In cases where rounding is required, round to three decimal places. Suppose you are interested in estimating the number of hours a person exercises (y-variable) from their age (x-variable). The following data is collected. x 18 26 32 38 52 59 y 10 7 4 5 2 1 Calculate r. 4 points

QUESTION 46 Based on r, is linear regression justified in this case? Yes No 4 points

QUESTION 47 Calculate b subscript 1 (the slope of the regression equation). 4 points

QUESTION 48 Calculate b subscript 0 (the y-intercept of the regression equation). 4 points

QUESTION 49 Assuming that this is a useful model, predict the hours a person exercises if they are 36 years old. 4 points

QUESTION 50 Calculate the residual value for the observation (x = 32, y = 4).

Answer 1

50) predicted value is ,

Y^ = 12.371 - 0.201 (32)

Y^ = 5.939

Residual is , Y^ - Y = 5.135 - 4

Residual = 1.135