Concept explainers
(a)
To describe the relationship between length and sales.
(a)

Explanation of Solution
Direction: It is positive because the pattern in the
Form: It is linear because there is no strong curvature present in the scatter plot.
Strength: It is strong because the points in the scatter plot do not deviate much from the general pattern in the points.
Unusual features: There are no outliers because there appear to be no points that deviate strongly from the general pattern in the data.
Thus there is strong, positive and linear relationship between shelf length and sales.
(b)
To write the equation of least square regression line.
(b)

Answer to Problem AP1.17CPT
Explanation of Solution
Let:
x =Shelf length
y =Sales
General equation is
The y -intercept is given in the row “Constant” and in the column “Coef” of the given table:
The slope b is given in the row “Shelf length” and in the column “Coef” of the given table:
We then obtain:
(c)
To find out what is the best estimate of the weekly sales revenue.
(c)

Answer to Problem AP1.17CPT
The best estimate is
Explanation of Solution
It is given that:
Thus, at
Thus the best estimate is
(d)
To interpret the value of s .
(d)

Answer to Problem AP1.17CPT
Explanation of Solution
The standard deviation of the residual is given after “S=” in the computer output:
The standard deviation of the residual is the average discrepancy between the observed y -values and the predicted y - values.
On average, the predicted sales deviate by
(e)
To identify and interpret the coefficient of determination.
(e)

Answer to Problem AP1.17CPT
Explanation of Solution
The coefficient of determination is:
Chapter 4 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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