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 35 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.) (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. No, the relationship is not significant. (c) Develop a scatter diagram for the data. 45 T 45 45 40 40 40 35 35 35 30 30 30 25 25 25 20 20 20 15 15 15 10 10 10 5. 20 25 30 35 40 45 20 25 30 35 40 45 20 25 30 35 40 45

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Does the scatter diagram suggest an estimated regression equation of the form ŷ = b, + b,× + b2x? Explain.
No, the scatter diagram suggests that a curvilinear relationship may be appropriate.
No, the scatter diagram suggests that a linear relationship may be appropriate.
Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate.
Yes, the scatter diagram suggests that a linear relationship may be appropriate.
Transcribed Image Text:y 45 40 35 30 25 20 15 10 5 20 25 30 35 40 45 Does the scatter diagram suggest an estimated regression equation of the form ŷ = b, + b,× + b2x? Explain. No, the scatter diagram suggests that a curvilinear relationship may be appropriate. No, the scatter diagram suggests that a linear relationship may be appropriate. Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate. Yes, the scatter diagram suggests that a linear relationship may be appropriate.
A statistical program is recommended.
Consider the following data for two variables, x and y.
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(a) Develop an estimated regression equation for the data of the form ŷ = bo + b,x. (Round b, to one decimal place and b, to three decimal places.)
ŷ =
(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
%D
Is the relationship between x and y significant?
Yes, the relationship is significant.
No, the relationship is not significant.
(c) Develop a scatter diagram for the data.
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Transcribed Image Text:A statistical program is recommended. Consider the following data for two variables, x and y. 22 24 26 30 35 40 y 13 22 33 35 41 35 (a) Develop an estimated regression equation for the data of the form ŷ = bo + b,x. (Round b, to one decimal place and b, to three decimal places.) ŷ = (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 %D Is the relationship between x and y significant? Yes, the relationship is significant. No, the relationship is not significant. (c) Develop a scatter diagram for the data. y 45 y 45 y 45 40 40 40 35 35 35 30 30 30 25 25 25 20 20 20 15 15 15 10 10 10 5 5 5 20 25 30 35 40 45 25 30 35 40 45 20 25 30 35 40 45 20
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