NextRun a regression analysis on the following bivariate set of data with y as the response variable.Xy48.14163.762.640.133.449.446.316.3-29.139.927.337.1 33.348.2 45.432.911.134.927.944.625.525.1Z23.2Find the correlation coefficient and report it accurate to three decimal places.What proportion of the variation in y can be explained by the variation in the values of x? Report answer asa percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you wouldenter 84.5 without the percent symbol.)r² =%Submit Question

Solution:- from given information x y xy x2 y2 48.1 41 1972.1 2313.61 1681 63.7 62.6 3987.62…

Answered: Next Run a regression analysis on the…

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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Run a regression analysis on the following bivariate set of data with y as the response variable. x y 61.1 78.9 58.6 84.5 70.2 58.1 62.3 65.4 64.2 68.9 58 84.1 63.7 70.2 64.6 71.9 68.3 71.5 61.7 77.5 59.3 77.4 64.6 71.2 Find the correlation coefficient and report it accurate to three decimal places.r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. (If the answer is 0.84471, then it would be 84.5%...you would enter 84.5 without the percent symbol.)r² = %Based on the data, calculate the regression line (each value to three decimal places)y = x + Predict what value (on average) for the response variable will be obtained from a value of 61.9 as the explanatory variable. Use a significance level of α=0.05α=0.05 to assess the strength of the linear correlation.What is the predicted response value? (Report answer accurate to one decimal place.)
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Next Run a regression analysis on the following bivariate set of data with y as the response variable. X y 48.1 63.7 40.1 49.4 16.3 -29.1 39.9 27.3 37.1 33.3 48.2 45.4 32.9 11.1 34.9 27.9 ▬▬▬▬▬ 41 62.6 33.4 46.3