Concept explainers
(a)
To find: the equation of the least-squares regression line
(a)
Answer to Problem 47E
The equation of the least-squares line is
Explanation of Solution
Given:
Mean | Standard deviation | |
Wife’s height | ||
Husband’s height |
The correlation between the heights of husbands and wives is given as:
Calculation:
The least-squares regression line is the line:
With slope
and Y intercept
The least-squares regression line of husband’s height on wife’s height has slope:
To find the intercept, we use the fact that the least-squares line passes through
Conclusion:
So the equation of the least-squares line is:
(b)
To explain:why the result is obtained without doing the calculation.
(b)
Answer to Problem 47E
A regression line is used to predict the response
Explanation of Solution
Calculation:
The predicted height of the husband of a woman who is 67 inches tall is:
A regression line is used to predict the response
Conclusion:
Hence, a regression line is used to predict the response
Chapter 3 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics
Essentials of Statistics (6th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics (13th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
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