X 9.4 36.9 42.6 -16 27.4 27.5 24.8 21 33.1 2.4 У 24.2 66.5 140.4 -26.1 52 71.9 66.8 41.2 69.2 34.3
X 9.4 36.9 42.6 -16 27.4 27.5 24.8 21 33.1 2.4 У 24.2 66.5 140.4 -26.1 52 71.9 66.8 41.2 69.2 34.3
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...
Related questions
Question
![Run a regression analysis on the following bivariate set of data with y as the response variable.
X
y
9.4
24.2
36.9
66.5
42.6 140.4
-16
-26.1
27.4
52
27.5
71.9
24.8
66.8
21
41.2
33.1
2.4
23.9
34.4
69.2
34.3
71.9
66
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 -13.4 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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa04eb202-bcff-462b-a878-efbd37103f75%2Fc9f6ad9f-3435-42f7-92b4-83ba097b2f7f%2Fxm2e3jo_processed.png&w=3840&q=75)
Transcribed Image Text:Run a regression analysis on the following bivariate set of data with y as the response variable.
X
y
9.4
24.2
36.9
66.5
42.6 140.4
-16
-26.1
27.4
52
27.5
71.9
24.8
66.8
21
41.2
33.1
2.4
23.9
34.4
69.2
34.3
71.9
66
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 -13.4 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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