Ex 1:

Consider the following data for two variables, x and y.

X

y

a.

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b.

C.

a. Develop an estimated regression equation for the data of the form ŷ = bo+byx.

b. Using the results from part (a), test for a significant relationship between x and y; use a = .05.

c. Develop a scatter diagram for the data. Does the scatter diagram suggest an estimated

regression equation of the form ŷ = bo + b₁ + b₂²? Explain.

d. Develop an estimated regression equation for the data of the form y=bo +bi+b₂x².

e. Refer to part (d). Is the relationship between x, ², and y significant? Use a = .05.

f. Predict the value of y when a = 25.

d.

e.

22

12

f.

24

21

26

33

30

35

35 40

40 36