Find the correlation coefficient and report it accurate to three decimal places. 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 +

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1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
Section: Chapter Questions
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Question
Run a regression analysis on the following bivariate set of data with y as the response variable.
X
y
71.5
4.4
77.1
-6.7
-52.2
-7.8
88
13.8
75.3
33
64.5
32.4
76
85.6
67.5
53.4
78.3
45.5
-11.4
Find the correlation coefficient and report it accurate to three decimal places.
r =
y =
38.2 64.6
64.9
17.5
73.4
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 =
X +
Based on the data, calculate the regression line (each value to three decimal places)
Predict what value (on average) for the response variable will be obtained from a value of 72.2 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 71.5 4.4 77.1 -6.7 -52.2 -7.8 88 13.8 75.3 33 64.5 32.4 76 85.6 67.5 53.4 78.3 45.5 -11.4 Find the correlation coefficient and report it accurate to three decimal places. r = y = 38.2 64.6 64.9 17.5 73.4 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 = X + Based on the data, calculate the regression line (each value to three decimal places) Predict what value (on average) for the response variable will be obtained from a value of 72.2 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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