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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Here is a bivariate data set. Find the regression equation for the response variable y. x y 60.9 36.2 55.8 44.3 27.8 61.7 36.1 56.3 56 53.7 49.8 55.2 45.7 51.5 60.1 46.6 63.1 50 63.9 40.2 68.8 45.4 32.3 60.4 76.6 40.6 65.4 46 65.6 42.7 regression equation: Enter the equation in slope-intercept form with parameters accurate to three decimal places.
Run a regression analysis on the following bivariate set of data with y as the response variable. x y -9.7 -66.2 5.6 28.3 -4.5 11.9 35.6 94.9 15.7 21.1 30.8 86.3 48.7 127.9 13 57.3 35.3 109 23.6 32.4 58 166.3 28.1 64.4 19.1 51.5 25.6 53.3 46.1 186.4 43.5 128 Predict what value (on average) for the response variable will be obtained from a value of 14.8 as the explanatory variable. Use a significance level of α=0.05 to assess the strength of the linear correlation.What is the predicted response value? y =
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The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is ŷ=27.654+0.29x. Brand Price Score Bose 180 76 Scullcandy 160 73 Koss 85 64 Phillips/O'Neill 70 57 Denon 80 50 JVC 45 26 a. Does the t test indicate a significant relationship between price and the overall score? Compute the value of the t test statistic. Use α=0.05 b. Show the ANOVA table for these data. Round your answers to three decimal places (and p-value to 4 decimal places), if necessary. Do not round intermediate calculations.

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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