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(a)
To find out what is the value of the
(a)
Answer to Problem 11RE
Explanation of Solution
It is given in the question that highway planners investigated the relationship between traffic density and the average speed of the traffic. The
Now, to find the
(b)
To find out what percent of the variation in average speed is explained by traffic density.
(b)
Answer to Problem 11RE
Explanation of Solution
It is given in the question that highway planners investigated the relationship between traffic density and the average speed of the traffic. The mean traffic density is
Now, to find the percent of the variation in average speed accounted for by traffic density, we must find
(c)
To predict the average speed to traffic on the thoroughfare when the traffic density is
(c)
Answer to Problem 11RE
The average speed to traffic on the thoroughfareis
Explanation of Solution
It is given in the question that highway planners investigated the relationship between traffic density and the average speed of the traffic. The mean traffic density is
Thus, to predict the average speed to traffic on the thoroughfare when the traffic density is
(d)
To find out what is the value of the residual for a traffic density of
(d)
Answer to Problem 11RE
The residual is
Explanation of Solution
It is given in the question that highway planners investigated the relationship between traffic density and the average speed of the traffic. The mean traffic density is
Now, we have to predict the speed for a traffic density of
Thus, the residual is calculated as with an observed speed of
(e)
To explain will the slope increase, decrease or remain the same if we redo the analysis and include this point.
(e)
Answer to Problem 11RE
The slope would increase.
Explanation of Solution
It is given in the question that highway planners investigated the relationship between traffic density and the average speed of the traffic. The mean traffic density is
Thus, the slope would increase because the new point has enough leverage and is a relatively large number of standard deviations of y away from the average
(f)
To explain will the correlation become stronger, weaker or remain the same if we redo the analysis and include this point
(f)
Answer to Problem 11RE
The strength of the correlation would weaken.
Explanation of Solution
It is given in the question that highway planners investigated the relationship between traffic density and the average speed of the traffic. The mean traffic density is
Thus, the strength of the correlation would weaken upon including the point
(g)
To find the value of his calculated correlation between the speed and density.
(g)
Answer to Problem 11RE
The correlation would remain the same.
Explanation of Solution
It is given in the question that highway planners investigated the relationship between traffic density and the average speed of the traffic. The mean traffic density is
Thus, the value of his calculated correlation between the speed and density should remain the same as the change in the units does not change the correlation of the variables.
Chapter PII Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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