solve by using mathematical equations and formulas only 9:46Regression StatisticsQUESTION & (a) A new spring type is being tested. Ten weights are hung, and the spring length ofof the springs are measured in inches. Assume that the weights and lengths of theeach weight is measured The weights are measured in pounds, while the lengthssprings are regularly distributed. The following are the findings of a randomlychosen sample in a Microsoft Office Excel output:SUMMARY OUTPUTMultiple RR SquareAdjusted R SquareStandard ErrorObservationsInterceptWeight0.9479330.8985780.8859004.59061410AToday9:24 AMCoefficient Std Error5.5027406.734186t-Stat3.103995 1.7727930.799887 8.418921i. Give two assumptions underlying the simple linear regression model.p-value0.1141990.000030iv. What is the value of R2 in the above table for?Editii. Is there any significant relationship between the weights and the springlengths? Justify your answer at a = 0.05 level of significance.3iii. Fit a linear regression model relating the weights and spring lengths.4G 60iFRE€Ep

i. The underlying assumptions of a linear regression model are: Linearity: The relationship…

a) A new spring type is being tested. Ten weights are hung, and the spring length of each weight is measured The weights are measured in pounds, while the length of the springs are measured in inchos Asume that the weights and lengths of the springs are regularly distributed. The following are the findings of a randomly chosen sample in a Microsoft Office Excel output: SUMMARY OUTPUT Regression Statistics QUESTION & Multiple R R Square Adjusted Rt Square Standard Error Observations 0.947933 0.898578 0.885900 4.590614 10 Intercept Weight Coefficient 5.502740 6.734186 Std Error 1-Stat 3.103995 1.772793 0.799887 8.418921 i. Give two assumptions underlying the simple linear regression model. p-value 0.114199 0.000030 ii. Is there any significant relationship between the weights and the spring. lengths? Justify your answer at a = 0.05 level of significance. iii. Fit a linear regression model relating the weights and spring lengths. iv. What is the value of R2 in the above table for?

a) A new spring type is being tested. Ten weights are hung, and the spring length of each weight is measured The weights are measured in pounds, while the length of the springs are measured in inchos Asume that the weights and lengths of the springs are regularly distributed. The following are the findings of a randomly chosen sample in a Microsoft Office Excel output: SUMMARY OUTPUT Regression Statistics QUESTION & Multiple R R Square Adjusted Rt Square Standard Error Observations 0.947933 0.898578 0.885900 4.590614 10 Intercept Weight Coefficient 5.502740 6.734186 Std Error 1-Stat 3.103995 1.772793 0.799887 8.418921 i. Give two assumptions underlying the simple linear regression model. p-value 0.114199 0.000030 ii. Is there any significant relationship between the weights and the spring. lengths? Justify your answer at a = 0.05 level of significance. iii. Fit a linear regression model relating the weights and spring lengths. iv. What is the value of R2 in the above table for?

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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