Question

Run a regression analysis on the following bivariate set of data with y as the response variable. x y 63.1 -14.3 80.6 18 90.2 72.2 65.7 -9.3 80 14.3 81.8 39.4 77.3 43.7 78.6 39.2 78.9 34.8 58.4 -42.2 67 -22.5 77.9 9.3 Find the correlation coefficient and report it accurate to three decimal places. r = 0.924 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.) r^2 = 90 % 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 61 as the explanatory variable. Use a significance level of ? = 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.
x y
63.1 -14.3
80.6 18
90.2 72.2
65.7 -9.3
80 14.3
81.8 39.4
77.3 43.7
78.6 39.2
78.9 34.8
58.4 -42.2
67 -22.5
77.9 9.3
Find the correlation coefficient and report it accurate to three decimal places.
r = 0.924
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.)
r^2 = 90 %
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 61 as the explanatory variable. Use a significance level of ? = 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.
x y
63.1 -14.3
80.6 18
90.2 72.2
65.7 -9.3
80 14.3
81.8 39.4
77.3 43.7
78.6 39.2
78.9 34.8
58.4 -42.2
67 -22.5
77.9 9.3
Find the correlation coefficient and report it accurate to three decimal places.
r = 0.924
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.)
r^2 = 90 %
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 61 as the explanatory variable. Use a significance level of ? = 0.05 to assess the strength of the linear correlation.
What is the predicted response value? (Report answer accurate to one decimal place.)

Added by Cory M.

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