Run a regression analysis on the following bivariate set of data with y as the response variable. x y 20.9 45.3 19.9 50.1 28.2 18.3 21.3 50.3 18.5 39.1 42.3 -9.4 5 73.7 34.7 46.4 25.9 26.3 26.3 50.3 38.2 21.8 6.7 81.1 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 41.3 as the explanatory variable. What is the predicted response value? (Report answer accurate to one decimal place.) y =

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Run a regression analysis on the following bivariate set of data with y as the response variable.

x y
20.9 45.3
19.9 50.1
28.2 18.3
21.3 50.3
18.5 39.1
42.3 -9.4
5 73.7
34.7 46.4
25.9 26.3
26.3 50.3
38.2 21.8
6.7 81.1

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 41.3 as the explanatory variable.

What is the predicted response value?  (Report answer accurate to one decimal place.)
y =

 

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