Concept explainers
(a)
To interpret the value of
(a)
Answer to Problem 7E
Explanation of Solution
In the question, researchers examined the nature in which it regulates the size of animal predators which remove higher proportion of the population than when the density of the prey is low. The explanatory variable is the number of perch in a confined area and the response variable is the proportion of perch killed by bass in two hours when the bass are allowed access to the perch. The
This means that the slope of the sample regression line is expected to vary by about
(b)
To find the critical value for a
(b)
Answer to Problem 7E
Explanation of Solution
In the question, researchers examined the nature in which it regulates the size of animal predators which remove higher proportion of the population than when the density of the prey is low. The explanatory variable is the number of perch in a confined area and the response variable is the proportion of perch killed by bass in two hours when the bass are allowed access to the perch. The scatterplot is given and it shows a linear relationship. And the residual plot for least square regression line is given. The computer output is given for this data. Thus, it is given,
The degrees of freedom is the
The critical t -value can be found in table B in the row of
Thus, the confidence interval is as:
(c)
To interpret the interval from part (b) in context.
(c)
Explanation of Solution
In the question, researchers examined the nature in which it regulates the size of animal predators which remove higher proportion of the population than when the density of the prey is low. The explanatory variable is the number of perch in a confined area and the response variable is the proportion of perch killed by bass in two hours when the bass are allowed access to the perch. The scatterplot is given and it shows a linear relationship. And the residual plot for least square regression line is given. The computer output is given for this data. Thus from part (b) we have,
Thus, we are
(d)
To explain the meaning of “
(d)
Explanation of Solution
In the question, researchers examined the nature in which it regulates the size of animal predators which remove higher proportion of the population than when the density of the prey is low. The explanatory variable is the number of perch in a confined area and the response variable is the proportion of perch killed by bass in two hours when the bass are allowed access to the perch. The scatterplot is given and it shows a linear relationship. And the residual plot for least square regression line is given. The computer output is given for this data. The “
Chapter 12 Solutions
The Practice of Statistics for AP - 4th Edition
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