A statistical program is recommended.Consider the following data for two variables, x and y.24 26 30223540y132233344135(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.y45y45y45y45 T4040-40403535-353530303030252525252020202015151515101010105.5.5.5202530354045202530354045202530354045202530354045Does 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 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.)

To obtain linear regression R-software is used.

Answered: A statistical program is recommended.…

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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A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 12 22 34 36 41 37 (d) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x + b2x2. (Round b0 to one decimal place and b1 to two decimal places and b2 to four decimal places.) ŷ = −175+12.63x−.1837x2 Use the results from part (d) to test for a significant relationship between x, x2, and y. Use α = 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.)
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A statistical program is recommended. Consider the following data for two variables, x and y. X 9 32 18 15 26 Y 9 19 20 16 22 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to two decimal places and b1 to three decimal places.) (b) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x + b2x2. (Round b0 to two decimal places and b1 to three decimal places and b2 to four decimal places.) (c) Use the model from part (b) to predict the value of y when x = 20. (Round your answer to two decimal places.)
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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.)