Concept explainers
(a)
To make: a
(a)
Answer to Problem 54E
Explanation of Solution
Given:
Mass: | 36.1 | 54.6 | 48.5 | 42.0 | 50.6 | 42.0 | 40.3 | 33.1 | 42.4 | 34.5 | 51.1 | 41.2 |
Rate: | 995 | 1425 | 1396 | 1418 | 1502 | 1256 | 1189 | 913 | 1124 | 1052 | 1347 | 1204 |
Calculation:
We put mass (the explanatory variable) on the horizontal axis and metabolic rate (the response variable) on the vertical axis.
The below figure is the completed scatterplot for the given data.
Conclusion:
Thus, the required scatterplot is drawn.
(b)
To find: the equation of the least-squares regression line.
(b)
Answer to Problem 54E
The regression line is
Explanation of Solution
Calculation:
Using the MINITAB, the equation of the least-squares regression line is,
The regression line is
Observe the above scatter plot the data with regression line added.
Conclusion:
Therefore, the regression line is
(c)
To explain: the slope of the regression line
(c)
Answer to Problem 54E
Here the slope b of above regression line (197) is the rate at which the predicted response Y changes among the line as the explanatory variable X changes.
Explanation of Solution
The equation of the least-squares regression line,
Here the slope b of above regression line (197) is the rate at which the predicted response Y changes among the line as the explanatory variable X changes. Specifically, b is the predicted change in Y when X increases by 1 unit. Here b shows if mass increases by 1 unit then metabolic rate increases by 24.1 cal/24 hrs.
(d)
To find: the predicted metabolic rate of the woman
(d)
Answer to Problem 54E
The predicted metabolic rate for woman of body mass 45 kg is
Explanation of Solution
Given:
Woman has a lean body mass of 45 kilograms
Calculation:
The equation of the least-squares regression line,
For
This shows that predicted metabolic rate for woman of body mass 45 kg is
Conclusion:
Therefore, the predicted metabolic rate for woman of body mass 45 kg is
Chapter 3 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
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