
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:6. Three data sets are collected, and the correlation coefficient is computed in each case. Possible
values for the correlation coefficients are -0.5, 0.0, 0.3, 0.6, and 0.95. Match the correlations
with the data sets and write a paragraph explaining your rationale.
(a) the number of car accidents along a road and the number of elephants i the local zo0
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- Compute the Correlation Coefficient for the data displayed in the table below: x 24 31 38 27 33 y 63 72 79 65 73 Round your final decimal answer to three decimal places (round to the nearest thousandth) Correlation Coefficient = [cc] = _______________arrow_forwardLet x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…arrow_forwardHow does multiplying each score by a (positive) constant affect the value of the correlation? The correlation changes sign. The correlation does not change. The correlation decreases. The correlation increases.arrow_forward
- Association A researcher investigating the associationbetween two variables collected some data and was surprised when he calculated the correlation. He had expected to find a fairly strong association, yet the corre-lation was near 0. Discouraged, he didn’t bother making a scatterplot. Explain to him how the scatterplot couldstill reveal the strong association he anticipated.arrow_forwardE4-45arrow_forwardHow strong is this relationship? Obtain the correlation. (Provide your answer to four decimal places.) r=arrow_forward
- Please show workarrow_forwardSolve this example in the picture below, read the question carefully and answer it correctly. Please solve the work accurately and make sure that you check your work, this deals with correlations.arrow_forwardHello there, please help me with this problem and thank you!arrow_forward
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