A statistical program is recommended.

Consider the following data for two variables,xandy.

x	22	24	26	30	35	40
y	11	22	33	35	41	36

(a)

Develop an estimated regression equation for the data of the form

=b₀+b₁x.

(Roundb₀to one decimal place andb₁to three decimal places.)

=

1.2617.531x

(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 =0.07

Is the relationship betweenxandysignificant?

Yes, the relationship is significant.No, the relationship is not significant.

(c)

Develop a scatter diagram for the data.

A scatter diagram has 6 points. The horizontal axis ranges from 20 to 45 and is labeled:x. The vertical axis ranges from 0 to 45 and is labeled:y. Moving from left to right, the leftmost point is at (22, 41), with the next 5 points extending downward in a diagonal direction.

A scatter diagram has 6 points. The horizontal axis ranges from 20 to 45 and is labeled:x. The vertical axis ranges from 0 to 45 and is labeled:y. Moving from left to right, the leftmost point is at (22, 7), with the next 4 points extending upward, the first two rising more steeply than the next two. The last point goes back down.

A scatter diagram has 6 points. The horizontal axis ranges from 20 to 45 and is labeled:x. The vertical axis ranges from 0 to 45 and is labeled:y. Moving from left to right, the leftmost point is at (22, 11), with the next 4 points extending upward, the first two rising more steeply than the next two. The last point goes back down.

A scatter diagram has 6 points. The horizontal axis ranges from 20 to 45 and is labeled:x. The vertical axis ranges from 0 to 45 and is labeled:y. Moving from left to right, the leftmost point is at (22, 36), with the next point extending upward. The last 4 points then continue downward in a diagonal direction.

Does the scatter diagram suggest an estimated regression equation of the form

=b₀+b₁x+b₂x²?

Explain.

No, the scatter diagram suggests that a linear relationship may be appropriate.Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate. No, the scatter diagram suggests that a curvilinear relationship may be appropriate.Yes, the scatter diagram suggests that a linear relationship may be appropriate.

(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 =

Is the relationship between

x,x²,

andysignificant?

Yes, the relationship is significant.No, the relationship is not significant.

(f)

Use the model from part (d) to predict the value ofywhen

x= 25.

(Round your answer to three decimal places.)

Consider the following data for two variables,xandy.

x	9	32	18	15	26
y	11	20	21	17	22

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

=b₀+b₁x.

(Roundb₀to two decimal places andb₁to three decimal places.)=

10.68+0.376x

Comment on the adequacy of this equation for predictingy. (Use= 0.05.)

The highp-value and low coefficient of determination indicate that the equation is inadequate.The highp-value and high coefficient of determination indicate that the equation is adequate. The lowp-value and low coefficient of determination indicate that the equation is inadequate.The lowp-value and high coefficient of determination indicate that the equation is adequate.

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

=b₀+b₁x+b₂x².

(Roundb₀to two decimal places andb₁to three decimal places andb₂to four decimal places.)=

Comment on the adequacy of this equation for predictingy. (Use= 0.05.)

The highp-value and low coefficient of determination indicate that the equation is inadequate.The highp-value and high coefficient of determination indicate that the equation is adequate. The lowp-value and low coefficient of determination indicate that the equation is inadequate.The lowp-value and high coefficient of determination indicate that the equation is adequate.

(c)Use the model from part (b) to predict the value ofywhen

x= 20.

(Round your answer to two decimal places.)