Run a regression analysis on the following bivariate set of data with y as the response variable. y 22.7 50.2 25.4 56 24.2 57.7 10.8 34.6 26.8 54.5 26.1 60.4 18.4 43.7 25.5 55.4 30.4 57.7 35.4 77.8 27.4 58.6 17.7 46 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.) p? = Based on the data, calculate the regression line (each value to three decimal places) y = Predict what value (on average) for the response variable will be obtained from a value of 29.5 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.) y =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Run a regression analysis on the following bivariate set of data with y as the response variable.
y
22.7
50.2
25.4
56
24.2
57.7
10.8
34.6
26.8
54.5
26.1
60.4
18.4
43.7
25.5
55.4
30.4
57.7
35.4
77.8
27.4
58.6
17.7
46
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 =
Predict what value (on average) for the response variable will be obtained from a value of 29.5 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.)
y =
Transcribed Image Text:Run a regression analysis on the following bivariate set of data with y as the response variable. y 22.7 50.2 25.4 56 24.2 57.7 10.8 34.6 26.8 54.5 26.1 60.4 18.4 43.7 25.5 55.4 30.4 57.7 35.4 77.8 27.4 58.6 17.7 46 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 = Predict what value (on average) for the response variable will be obtained from a value of 29.5 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.) y =
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