Question 23: Run a regression analysis on the following bivariate set of data with y as the response variable.xy50.563.619.957.935.833.559.188.736.94730.468.361.873.427.647.141.753.937.274.743.350.945.497.3Find 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 52.2 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.)y = Run a regression analysis on the following bivariate set of data with y as the response variable.Xy50.563.619.957.935.833.559.188.736.94730.468.361.873.427.647.141.753.937.274.743.350.945.497.3Find 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.)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 52.2 as theexplanatory variable. Use a significance level of a = 0.05 to assess the strength of the linear correlation.What is the predicted response value? (Report answer accurate to one decimal place.)y =

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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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Question 23: Run a regression analysis on the following bivariate set of data with y as the response variable.

x	y
50.5	63.6
19.9	57.9
35.8	33.5
59.1	88.7
36.9	47
30.4	68.3
61.8	73.4
27.6	47.1
41.7	53.9
37.2	74.7
43.3	50.9
45.4	97.3

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 52.2 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.)
y =