A statistical program is recommended.Consider the following data for two variables,xandy.

x	22	24	26	30	35	40
y	13	20	34	36	40	37

(a)Develop an estimated regression equation for the data of the form

=b₀+b₁x.

(Roundb₀to one decimal place andb₁to three decimal places.)=

(b)Use the results from part (a) to test for a significant relationship betweenxandy. Use= 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

F=

Find thep-value. (Round your answer to three decimal places.)

p-value =

(d)Develop an estimated regression equation for the data of the form

=b₀+b₁x+b₂x². (Roundb₀to one decimal place andb₁to two decimal places andb₂to four decimal places.)

=

(e)Use the results from part (d) to test for a significant relationship between

x,x², andy. Use= 0.05.Is the relationship between x,x², andysignificant?

Find the value of the test statistic. (Round your answer to two decimal places.)

Find thep-value. (Round your answer to three decimal places.)

p-value =

(f)Use the model from part (d) to predict the value ofywhen x= 25. (Round your answer to three decimal places.)