Run a regression analysis on the following bivariate set of data with y as the response variable. y 50.1 62.4 40.8 68.5 35.8 45.8 73 61.6 57.8 65.4 48.9 29.2 50.1 57.5 23.8 96.6 26.8 81.5 76.7 40.6 62.9 53.5 57.8 60.1 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 woulo enter 84.5 without the percent symbol.) 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 35.8 as the explanatory variable. What is the predicted response value? (Report answer accurate to one decimal place.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 40RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed ina...
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Run a regression analysis on the following bivariate set of data with y as the response variable.
y
62.4
50.1
40.8
68.5
35.8
73
45.8
61.6
57.8
48.9
65.4
29.2
57.5
50.1
23.8
96.6
26.8
81.5
40.6
76.7
62.9
57.8
53.5
60.1
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.)
r: =
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 35.8 as the
explanatory variable.
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 62.4 50.1 40.8 68.5 35.8 73 45.8 61.6 57.8 48.9 65.4 29.2 57.5 50.1 23.8 96.6 26.8 81.5 40.6 76.7 62.9 57.8 53.5 60.1 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.) r: = 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 35.8 as the explanatory variable. What is the predicted response value? (Report answer accurate to one decimal place.) y =
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