Concept explainers
To construct:a
Answer to Problem 10CQ
Explanation of Solution
Given information:
Formula Used:the formula to be usedwhen constructing a prediction interval for an individual response.
Let
Here, the critical value
Test statistic
Calculation:sample means and the sample variances can be calculated as shown.
Sample means;
Sample variances;
The correlation coefficient is calculated as shown.
Also, the least square regression line can be calculated as shown.
Here;
Here;
Therefore,
Now we need to calculate the residuals to find the
Finally we can now calculate the prediction interval for an individual response.
Here; when
And;
And;
Therefore;
Please note there wasn’t a table given in the book to find corresponding t-value for the given confidence interval
The t table below statescorresponding t-value for the given confidence interval
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Chapter 13 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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