Solvent cement is used to join PVC joints. Researchers are interested in predicting the amount of time needed for the joint to set (measured in hours) as it is related to the temperature measured in degrees F for 4 to 8-inch diameter pieces. A random sample of PVC joints was taken and a linear regression model was found. Use the following output and the fact that R2 = 0.965 to answer the following questions.   1. Find the equation of the regression line. 2. Interpret the slope in the words of the problem. 3. Find the Coefficient of Determination and interpret in the words of the problem

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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Solvent cement is used to join PVC joints. Researchers are interested in predicting the amount of time needed for the joint to set (measured in hours) as it is related to the temperature measured in degrees F for 4 to 8-inch diameter pieces. A random sample of PVC joints was taken and a linear regression model was found. Use the following output and the fact that R2 = 0.965 to answer the following questions.

 

1. Find the equation of the regression line.

2. Interpret the slope in the words of the problem.

3. Find the Coefficient of Determination and interpret in the words of the problem

Standard
Lower
Upper
Coefficients
Error
t Stat
P-value
95%
95%
Intercept
8.693
0.169
51.566
0.000
8.339
9.048
0.003
-0.055
Temperature
Table 1: Regression Output
-0.061
-22.440
0.000
-0.067
Transcribed Image Text:Standard Lower Upper Coefficients Error t Stat P-value 95% 95% Intercept 8.693 0.169 51.566 0.000 8.339 9.048 0.003 -0.055 Temperature Table 1: Regression Output -0.061 -22.440 0.000 -0.067
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