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College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...
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Run a regression analysis on the following bivariate set of data with y as the response variable.
55.5
50.6
53.6
58.1
37.1
76.2
58.5
40
49.4
58.6
38.2
56.4
64.2
24
68.3
57.6
65.3
36.3
81.8
48
52.8
66
75,5
76.8
Find the correlation coefficient and report it accurate to three decimal places.
r=-0.187
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=|3,5
%3D
Based on the data, calculate the regression line (each value to three decimal places)
y 3-0.294
ox + 75.185
Predict what value (on average) for the response variable will be obtained from a value of 45.7 as the
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.)
%3D
Transcribed Image Text:Run a regression analysis on the following bivariate set of data with y as the response variable. 55.5 50.6 53.6 58.1 37.1 76.2 58.5 40 49.4 58.6 38.2 56.4 64.2 24 68.3 57.6 65.3 36.3 81.8 48 52.8 66 75,5 76.8 Find the correlation coefficient and report it accurate to three decimal places. r=-0.187 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=|3,5 %3D Based on the data, calculate the regression line (each value to three decimal places) y 3-0.294 ox + 75.185 Predict what value (on average) for the response variable will be obtained from a value of 45.7 as the 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.) %3D
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