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Run a regression analysis on the following bivariate set of data with y as the response variable. r = Find the correlation coefficient and report it accurate to three decimal places. ý X 24.5 15.4 18.3 114.4 22.7 104.2 13.3 113.3 39.3 56.2 21.6 68.6 40.7 -43.5 15.2 8.1 42.1 49.3 y 58.7 4 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) 74.6 -29 -1.3 -40.1 + = x Predict what value (on average) for the response variable will be obtained from a value of 50.4 as the explanatory 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.)

Run a regression analysis on the following bivariate set of data with y as the response variable. r = Find the correlation coefficient and report it accurate to three decimal places. ý X 24.5 15.4 18.3 114.4 22.7 104.2 13.3 113.3 39.3 56.2 21.6 68.6 40.7 -43.5 15.2 8.1 42.1 49.3 y 58.7 4 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) 74.6 -29 -1.3 -40.1 + = x Predict what value (on average) for the response variable will be obtained from a value of 50.4 as the explanatory 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.)

MATLAB: An Introduction with Applications
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. Find the correlation coefficient and report it accurate to three decimal places. r = y 58.7 4 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 = ŷ X 24.5 15.4 18.3 114.4 22.7 104.2 13.3 113.3 39.3 56.2 21.6 68.6 40.7 -43.5 15.2 74.6 8.1 -29 42.1 -1.3 49.3 -40.1 Based on the data, calculate the regression line (each value to three decimal places) = + x Predict what value (on average) for the response variable will be obtained from a value of 50.4 as the explanatory 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.) ý =
Transcribed Image Text:Run a regression analysis on the following bivariate set of data with y as the response variable. Find the correlation coefficient and report it accurate to three decimal places. r = y 58.7 4 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 = ŷ X 24.5 15.4 18.3 114.4 22.7 104.2 13.3 113.3 39.3 56.2 21.6 68.6 40.7 -43.5 15.2 74.6 8.1 -29 42.1 -1.3 49.3 -40.1 Based on the data, calculate the regression line (each value to three decimal places) = + x Predict what value (on average) for the response variable will be obtained from a value of 50.4 as the explanatory 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.) ý =
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