Concept explainers
(a)
To calculate and interpret the residual for the
(a)
Answer to Problem 57E
The residual is
Explanation of Solution
The relationship between the short program score and the free skate score is given in the question. And the regression line is as:
And also given that Yu-Na Kim scored
Thus the predicted free skate score is as:
Thus, the residual will be calculated as:
This then implies that we underestimated the free skate score by
(b)
To interpret the slope of the least square regression line.
(b)
Explanation of Solution
The relationship between the short program score and the free skate score is given in the question. And the regression line is as:
And also given that Yu-Na Kim scored
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 free skate score increase by
(c)
To interpret the value of s .
(c)
Explanation of Solution
The relationship between the short program score and the free skate score is given in the question. And the regression line is as:
And also given that Yu-Na Kim scored
And the value of s is,
(d)
To interpret the value of
(d)
Explanation of Solution
The relationship between the short program score and the free skate score is given in the question. And the regression line is as:
And also given that Yu-Na Kim scored
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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