Concept explainers
i.
To identify:
The independent variable
i.
Answer to Problem 13.4E
Independent variable
Explanation of Solution
Given information:
Formula used:
The student’s t- statistics is given by the following expression:
The values:
Calculation:
To identify which independent variable
The
To test the null hypothesis:
Vs
And,
1. At
The student’s t- statistics is calculated as:
The corresponding
Reject the null hypothesis
Hence, independent variable
2. At
The student’s t- statistics is calculated as:
The corresponding
Reject the null hypothesis
Hence, independent variable
3. At
The student’s t- statistics is calculated as:
The corresponding
Reject the null hypothesis
Hence, independent variable
Conclusion:
Therefore, all independent variable
ii.
The least-square prediction equation
ii.
Answer to Problem 13.4E
The least-square prediction equation is
Explanation of Solution
Given information:
Calculation:
The line which makes the vertical distance from the data points to the regression line is known as least-square regression. This distance is as small as possible.
The least-square prediction equation is given by the following eq:
Put the given values:
Conclusion:
Hence, least-square prediction equation is derived as
iii.
To explain:
The relationship between lines shown by the graph the relationship between
iii.
Answer to Problem 13.4E
Lines shown by the graph is appearing to be parallel with each other
Explanation of Solution
Given information:
Predictor variables:
Calculation:
The given equation is
When
When
The below graph depicting the relationship between
Two lines shown by graph are seems to be parallel with each other.
Conclusion:
The above graph depicting the relationship between the two lines and they appear to be parallel to each other.
iv.
To explain:
The practical interpretation of
iv.
Answer to Problem 13.4E
The measurement of changes in
Explanation of Solution
Three-dimensional extension line of means is depicted by the given eq.
When
Partial slopes of the model is denoted by
The measurement of changes occurs in
The slope estimated by a fit line with
Conclusion:
Hence, the unknown constant values are estimated by using the sample data.
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Chapter 13 Solutions
EP INTRODUCTION TO PROBABILITY+STAT.
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