Run a regression analysis on the following bivariate set of data with y as the response variable. x y 62.4 47.5 77.2 59.4 16 72.4 29.9 58.1 160.7 84.6 31.7 12.5 159.6 73.5 40.6 69.5 94.7 67.6 49.4 40.2 104.4 34.3 136 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.) p²=| % 4 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 85.8 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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Chapter1: Combinatorial Analysis
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Run a regression analysis on the following bivariate set of data with y as the response variable.
X
y
62.4
4
47.5
77.2
59.4
16
72.4
29.9
58.1
160.7
84.6
31.7
12.5 159.6
73.5
40.6
69.5
94.7
67.6
49.4
40.2
104.4
34.3
136
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 85.8 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. X y 62.4 4 47.5 77.2 59.4 16 72.4 29.9 58.1 160.7 84.6 31.7 12.5 159.6 73.5 40.6 69.5 94.7 67.6 49.4 40.2 104.4 34.3 136 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 85.8 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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