yy90545053809135416048356160714056607155684047653655533511506860706557907950793559A data set consist of dependent variable (y) and independent variable (x) as shownabove. It is claims that the relationship between the x and y can be modelled through aregression model as follows:ŷ = a+bxwhere a and b are the estimated values for a and ß (refer to Appendix).(i)Determine the equation of the regression line to predict the y value from the xvalue.(ii)If the x value is 75, what is the value of y?(iii)Test the hypothesis that a=10 against the alternative a <10. Use a 0.05 level ofsignificance.(iv)Construct a 95% prediction interval for the y with x=35. (b)Consider a regression line that goes through the origin with the following equationY, = Bx, +E,, j =1,2,..,n.Find the least squares estimator ofB,B.

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Answered: (а) y 90 54 50 53 80 91 35 41 60 48 35…

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 sales manager collected the following data on x = years of experience and y = annual sales ($1,000s). The estimated regression equation for these data is ý = 81 + 4x. Years of Annual Sales Salesperson Experience ($1,000s) 80 3 97 3 102 4 4 102 103 6. 8 101 10 119 8 10 123 9. 11 127 10 13 136 (a) Compute SST, SSR, and SSE. SST = SSR = SSE = (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) r2 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O The least squares line did not provide a good fit as a small proportion of the variability in y has been explained by the least squares line. The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. The least squares line provided a good fit as a small proportion of the variability in y has been explained by the least squares line. The least squares line did…
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