Solvent cement is used to join PVC joints. Researchers are interested in predicting the amount of time is needed for the joint to set (measured in hours) as it is related to 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.   7. Find and interpret a 95% confidence interval for the true slope.   8. The researchers find the predicted value for a temperature of 200 F is -3.507 hours. What is the most likely reason for this nonsensical answer?

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
icon
Related questions
Question

Solvent cement is used to join PVC joints. Researchers are interested in predicting the amount of time is needed for the joint to set (measured in hours) as it is related to 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.

 

7. Find and interpret a 95% confidence interval for the true slope.

 

8. The researchers find the predicted value for a temperature of 200 F is -3.507 hours. What is the most likely reason for this nonsensical answer?

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

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill