(a)
To graph: The plot
(a)
Explanation of Solution
Given: The value of
Graph: The plot is drawn by following these steps:
Step 1: Open Excel sheet and write the data value for
Step 2: INSERT > Recommended Charts > All Charts > Line Chart. The screenshot is shown below:
The plot is obtained as shown below:
The values chosen for
The contrast can be calculated by the sum of weighted means. If
Interpretation: The value of
(b)
To graph: The plot
(b)
Explanation of Solution
Graph: The plot is drawn by following these steps:
Step 1: Open Excel sheet and write the data value for
Step 2: INSERT > Recommended Charts > All Charts > Line Chart. The screenshot is shown below:
The plot is obtained as shown below:
The contrast can be calculated by the sum of weighted means. If
The contrast for means
Interpretation: The value chosen,
(c)
To find: The sample contrast quadratic and cubic trend.
(c)
Answer to Problem 50E
Solution: Contrasts for the quadratic trend can be calculated as:
Contrasts for the cubic trend can be calculated as:
Explanation of Solution
Calculation: To find sample contrasts for quadratic and cubic trend by using the Facebook data as follows:
Contrasts for the quadratic trend can be calculated as:
Contrasts for the cubic trend can be calculated as:
(d)
To test: The hypotheses for the linear, quadratic, and cubic trend.
(d)
Answer to Problem 50E
Solution: The P-values are less than 0
Explanation of Solution
Calculation: To test the null hypothesis, steps are as follows:
Contrasts for the linear trend can be calculated as:
Contrasts for the quadratic trend can be calculated as:
Contrasts for the cubic trend can be calculated as:
The pooled standard deviation is obtained as:
The standard error of linear contrast can be calculated as:
The standard error of quadratic contrast can be calculated as:
The standard error of cubic contrast can be calculated as:
The resultant t statistic values for the linear trend can be calculated as:
The resultant t-statistic values for the quadratic trend can be calculated as:
The resultant t-statistic values for the cubic trend can be calculated as:
The resultant P-values are obtained by using the standard normal distribution table as follows:
Conclusion: The P-values is less than 0
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Chapter 12 Solutions
Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
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