Concept explainers
(a)
To calculate and interpret the residual for the student who was
(a)
Answer to Problem 58E
The residual is
Explanation of Solution
The relationship between the height and age of the students is given in the question. And the regression line is as:
And also given that the student who was
Thus the predicted height of the student is as:
Thus, the residual will be calculated as:
This then implies that we overestimated the height of the student at age
(b)
To interpret the slope of the least square regression line.
(b)
Explanation of Solution
The relationship between the height and age of the students is given in the question. And the regression line is as:
And also given that the student who was
As we know that the slope is coefficient of x in the least square regression equation and represents the average increase or decrease of y per unit of x . Thus,
This then implies that on average, the height increases by
(c)
To interpret the value of s .
(c)
Explanation of Solution
The relationship between the height and age of the students is given in the question. And the regression line is as:
And also given that the student who was
And the value of s is,
(d)
To interpret the value of
(d)
Explanation of Solution
The relationship between the height and age of the students is given in the question. And the regression line is as:
And also given that the student who was
And the value of
As we know that the coefficient of determination measures the proportion of variation in the responses y variable that is explained by the least square regression model using the explanatory x variable. Thus, we can say that
Chapter 3 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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