
(a)
To make a
(a)

Explanation of Solution
The department of transportation hoped that they could measure the weights of big trucks without actual stopping the trucks by using a developed weight-in-motion scale. To see if the device is accurate they conducted the calibration test. Now, the table of weight in motion and static weight is given in the table in the question. The scatterplot of the weight-in-motion and the static weight is as:
The weight-in-motion is on the horizontal axis and the static weight is on the vertical axis.
(b)
To describe the direction, form and strength of the plot.
(b)

Answer to Problem 40E
There is a positive, moderately linear relationship between the weight-in-motion and static weight.
Explanation of Solution
The department of transportation hoped that they could measure the weights of big trucks without actual stopping the trucks by using a developed weight-in-motion scale. To see if the device is accurate they conducted the calibration test. From the scatterplot in part (a), we can see that the relationship is positive and linear. However, the
(c)
To write a few sentences telling what the plot says about the data.
(c)

Explanation of Solution
The department of transportation hoped that they could measure the weights of big trucks without actual stopping the trucks by using a developed weight-in-motion scale. To see if the device is accurate they conducted the calibration test.The relationship between the weight-in-motion and static weight is positive and linear as seen by the scatterplot. However, the correlation is only moderately strong because the points do not form a great line. Therefore, we can say that the static weight of the cars are almost consistently lower than the weight of cars in motion.
(d)
To calculate the correlation.
(d)

Answer to Problem 40E
The correlation between the weight-in-motion and static weight is
Explanation of Solution
The department of transportation hoped that they could measure the weights of big trucks without actual stopping the trucks by using a developed weight-in-motion scale. To see if the device is accurate they conducted the calibration test. The table is as follows:
Weight-in-Motion | Static Weight |
26 | 27.9 |
29.9 | 29.1 |
39.5 | 38 |
25.1 | 27 |
31.6 | 30.3 |
36.2 | 34.5 |
25.1 | 27.8 |
31 | 29.6 |
35.6 | 33.1 |
40.2 | 35.5 |
Now, for calculating the correlation between the weight-in-motion and the static weight we will be using excel. Thus, we have,
Formula used:
The CORREL
CORREL(array
Calculation:
Now, we will calculate the correlation coefficient using the excel. We will use the above CORREL function for this and we will have,
And the answer to this will be as:
Correlation coefficient | 0.965 |
So, the correlation between the weight-in-motion and static weightis
(e)
To explain how would this change the correlation if the trucks were weighed in kilograms.
(e)

Answer to Problem 40E
There would be no change.
Explanation of Solution
The department of transportation hoped that they could measure the weights of big trucks without actual stopping the trucks by using a developed weight-in-motion scale. The correlation between the weight-in-motion and static weight is
(f)
To explain do any points deviate from the overall pattern and what does the plot say about a possible recalibration of the weight in motion scale.
(f)

Explanation of Solution
The department of transportation hoped that they could measure the weights of big trucks without actual stopping the trucks by using a developed weight-in-motion scale. The correlation between the weight-in-motion and static weight is
Chapter 7 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
A First Course in Probability (10th Edition)
Algebra and Trigonometry (6th Edition)
Introductory Statistics
College Algebra with Modeling & Visualization (5th Edition)
Thinking Mathematically (6th Edition)
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