
Concept explainers
(a)
To find: The four residuals for the data provided on the counts over different times.
(a)

Answer to Problem 96E
Solution: The residuals for the four counts are obtained as
Explanation of Solution
Calculation: The regression equation for the provided data set is as follows:
Here, the response variable
For time
For time
For time
For time
The observed
The residuals (represented as
For
For
For
For
Hence, the four residuals obtained are
(b)
To graph: The model for residual versus time plot.
(b)

Explanation of Solution
Graph: The residual versus time plot is obtained using the Minitab software by following the steps below:
Step 1: Enter the data in the Minitab worksheet.
Step 2: Go to Stat and select Regression and then select Regression again.
Step 3: Enter the response variable as ‘Count’ and Predictors as ‘Time.’
Step 4: Under Graphs option, choose Residuals versus order.
Step 5: Fill in Residual versus the variables as ‘Time.’
Step 6: Click on Ok.
The resultant graph is obtained as follows:
(c)
To explain: Interpretation of the obtained residual plot.
(c)

Answer to Problem 96E
Solution: Since there is no pattern observed in the residuals versus time plot, it can be concluded that the provided model is appropriate to estimate the count variable.
Explanation of Solution
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Chapter 2 Solutions
LaunchPad for Moore's Introduction to the Practice of Statistics (12 month access)
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