A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 Y 13 22 33 34 41 35 (a) Develop an estimated regression equation for the data of the form ý = b, + b,x. (Round b, to one decimal place and b, to three decimal places.)
A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 Y 13 22 33 34 41 35 (a) Develop an estimated regression equation for the data of the form ý = b, + b,x. (Round b, to one decimal place and b, to three decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A statistical program is recommended.
Consider the following data for two variables, x and y.
24 26 30
22
35
40
y
13
22
33
34
41
35
(a) Develop an estimated regression equation for the data of the form ŷ = b, + b,x. (Round b, to one decimal place and b, to three decimal places.)
(b) Use the results from part (a) to test for a significant relationship between x and y. Use a = 0.05.
Find the value of the test statistic. (Round your answer to two decimal places.)
F =
Find the p-value. (Round your answer to three decimal places.)
p-value =
Is the relationship between x and y significant?
O Yes, the relationship is significant.
O No, the relationship is not significant.
(c) Develop a scatter diagram for the data.
y
45
y
45
y
45
y
45 T
40
40-
40
40
35
35-
35
35
30
30
30
30
25
25
25
25
20
20
20
20
15
15
15
15
10
10
10
10
5.
5.
5.
5
20
25
30
35
40
45
20
25
30
35
40
45
20
25
30
35
40
45
20
25
30
35
40
45
Does the scatter diagram suggest an estimated regression equation of the form ý = b, + b,x + b,x? Explain.
O No, the scatter diagram suggests that a linear relationship may be appropriate.
O Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate.
O Yes the scatter diagram suggests that a linear relationshin may be appropriate
Transcribed Image Text:Does the scatter diagram suggest an estimated regression equation of the form ý = b, + b,x + b,x?? Explain.
O No, the scatter diagram suggests that a linear relationship may be appropriate.
O Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate.
O Yes, the scatter diagram suggests that a linear relationship may be appropriate.
O No, the scatter diagram suggests that a curvilinear relationship may be appropriate.
(d) Develop an estimated regression equation for the data of the form ŷ = b, + b,x + b,x². (Round b, to one decimal place and b, to two decimal places and b, to four decimal places.)
(e) Use the results from part (d) to test for a significant relationship between x, x², and y. Use a = 0.05. Is the relationship between x, x², and y significant?
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
Is the relationship between x, x², and y significant?
O Yes, the relationship is significant.
O No, the relationship is not significant.
(f) Use the model from part (d) to predict the value of y when x = 25. (Round your answer to three decimal places.)
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