Question

15.00 points Consider the following sample data Click here for the Excel Data File b. Calculate b, and by What is the sample regression equation? (Round Intermediate calculations to at least 4 decimal places and final answers to 2 decimal places) c. Find the predicted value for y if x equals 22 27 and 32 (Round intermediate coefficient values and final answers to 2 decimal places.) If x= 22 If x=27 If x= 32

Answer 1

The statistic software output for this problem is:

Simple linear regression results: Dependent Variable: y Independent Variable: x y = 33.406073 + 0.22027792 x Sample size: 8 R (correlation coefficient) = 0.40457228 R-sq = 0.16367873 Estimate of error standard deviation: 3.1679418

Predicted values: X value Pred. Y 22 38.252187 s.e.(Pred. y) 95% C.I. for mean 95% P.I. for new 1.1431443 (35.455014, 41.049361) (30.011275, 46.493099)

Predicted values: X value Pred. Y 39.353577 s.e.(Pred. y) 95% C.I. for mean 95% P.I. for new 1.3692858 (36.003055, 42.704098) (30.908789, 47.798365) 20 5

Predicted values: X value Pred. Y 32 40.454967 s.e.(Pred. y) 95% C.I. for mean 95% P.I. for new 2.1234787 (35.259001, 45.650932) (31.122952, 49.786982)

b0 = 33.41

b1 = 0.22

$\hat y$ = 33.41 + 0.22 x

(c)

x = 22 then $\hat y$ = 38.25

x = 27 then $\hat y$ = 39.35

x = 32 then $\hat y$ = 40.45