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(a)
To estimate the weight of a truck if this scale read
(a)
Answer to Problem 39RE
Explanation of Solution
It is given in the question that the Minnesota department of transportation hoped that they could measure the weights of big trucks without actually stopping the vehicles by using a newly developed weigh-in-motion scale. Their regression equation is:
where both the scale reading and the predicted weight of the truck are measured in thousands of pounds.
Thus, we can estimate the weight of a truck if this scale read
Thus,
(b)
To find out what was the residual if that truck actually weighed
(b)
Answer to Problem 39RE
The residual is
Explanation of Solution
It is given in the question that the Minnesota department of transportation hoped that they could measure the weights of big trucks without actually stopping the vehicles by using a newly developed weigh-in-motion scale. Their regression equation is:
where both the scale reading and the predicted weight of the truck are measured in thousands of pounds.
Now, if that truck actually weighed
(c)
To explain how much does it actually weigh.
(c)
Answer to Problem 39RE
Explanation of Solution
It is given in the question that the Minnesota department of transportation hoped that they could measure the weights of big trucks without actually stopping the vehicles by using a newly developed weigh-in-motion scale. Their regression equation is:
where both the scale reading and the predicted weight of the truck are measured in thousands of pounds.
Now, if the scale reads
The actual weight is
(d)
To explain do you expect estimates made using this equation to be reasonably accurate.
(d)
Answer to Problem 39RE
No, we do not expect.
Explanation of Solution
It is given in the question that the Minnesota department of transportation hoped that they could measure the weights of big trucks without actually stopping the vehicles by using a newly developed weigh-in-motion scale. Their regression equation is:
where both the scale reading and the predicted weight of the truck are measured in thousands of pounds. Thus, we do not expect estimates made using this equation to be reasonably accurate because it is not extremely that a residual margin of error of
(e)
To explain will negative or positive residuals be a greater problem if the police plan to use this scale to issue tickets to trucks that appear to be overloaded.
(e)
Answer to Problem 39RE
Explanation of Solution
It is given in the question that the Minnesota department of transportation hoped that they could measure the weights of big trucks without actually stopping the vehicles by using a newly developed weigh-in-motion scale. Their regression equation is:
where both the scale reading and the predicted weight of the truck are measured in thousands of pounds. Thus, the negative residuals be a greater problem if the police plan to use this scale to issue tickets to trucks that appear to be overloaded because the predicted weight would be higher than the actual weight which could cause false tickets.
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