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3. 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.
Coefficients
8.693
-0.061
Intercept
Temperature
Table 1: Regression Output
Standard
Error t Stat
0.169 51.566
0.003 -22.440
P-value
0.000
Lower
95%
8.339
0.000 -0.067
Upper
95%
9.048
-0.055
a. Interpret the slope in the words of the problem.
b. Find the Coefficient of Determination and interpret in the words of the problem.
c. Find the Correlation and interpret in the words of the problem.
d. Find the residual for a temperature of 60 F, if the time to set was 5.6 hours.
e. Find and interpret a 95% confidence interval for the true slope.
Sagot :
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