**10.** The director of an alumni association for a small college wants to determine whether there is any type of relationship between the amount of an alumnus' contribution (in dollars) and the years the alumnus has been out of school. The data follow:| Years, x | 1 | 5 | 3 | 8 | 7 | 6 ||------------|----|----|----|----|----|----|| Contribution, y ($)| 500| 100| 300| 50 | 75 | 97 |**a) Plot these data below. Comment on the type of correlation there appears to be (positive/negative/none), as well as the apparent strength of the correlation (strong/weak).***Graph Description:* The graph is a scatter plot that depicts the relationship between the number of years an alumnus has been out of school (x-axis) and their contribution amount in dollars (y-axis). The x-axis is labeled "Years" and ranges from 0 to 9. The y-axis is labeled "Contribution" and ranges from 0 to 500 in increments of 100. Points plotted are as follows:- Year 1: $500- Year 5: $100- Year 3: $300- Year 8: $50- Year 7: $75- Year 6: $97*Comment on Correlation:* The scatter plot suggests a negative correlation between the years out of school and the contribution amount. Contributions tend to decrease as the number of years increases. This correlation appears to be moderately strong.**b) Find the correlation coefficient. Does this value confirm or refute your comments above as to the strength and direction of the relationship between the two variables?***Note:* In an educational setting, further calculation can be done to determine the exact correlation coefficient using statistical methods, confirming or refuting the observed negative correlation.

Answered: 10. The director of an alumni…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A student of Engineering conducted a research to determine the correlation between performance of 2 lathes in the workshop. Assessments were conducted on weekly basis, and the following data were obtained. Calculate the coefficient of correlation using Karl Pearson's method, and discuss the level of the relationship. Table 2. The performance of the lathes on weekly basis. Week(s) 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th Lathe A 42 48 40 28 46 90 28 56 16 22 Lathe B 56 78 72 24 60 42 36 82 28 34 良

Which of the following sets of correlations shows the highest to lowest degree of relationship? A. +.70, +.15, -.10, -.85 B. -.85, +.70, -.10, +.15 C. +.70, +.15, -.85, -.10 D. -.85, +.70, +.15, -.10 E. -.10, +.15, +.70, -.85
For each of the following, indicate whether a correlation is most likely POSITIVE, NEGATIVE or NC (no correlation possible). The number of calories consumed and a person's weight loss The age of a child and the kind of pets owned Number of hours spent partying and GPA The age of a car and its mileage Weekly ice cream sales and weekly average temperature
1945 is paired with cancer rates for 1975. The cigarette consumption data is from 1945 to 1975 in 5-year increments. There is a strong positive linear association between annual cigarette consumption and lung cancer rates. The correlation is 0.81. If we use the line to make predictions of the number of lung cancer deaths per 100,000 people, which of the following is an example of extrapolation? a. Predict Y when cigarette consumption is 3,500 cigarettes per person. b. Predict Y when cigarette consumption is 3,800 cigarettes per person. c. Predict Y when cigarette consumption is 4,600 cigarettes per person.
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Example 5. Find the coefficient of correlation between the heights of brothers and sisters from the following data: Heights of brothers (in cm) : (x) 65 66 67 68 69 70 71 Heights of sisters 67 68 66 69 72 72 69 (in cm) : (y)
Given the graph below, what type of correlation would you predict there is between the variables? CAR PRICE DEPENDING ON AGE Price (dollars) 10000 9000 8000 7000 6000 5000 4000 3000 2000 1000- 4. 10 Age (years) O Positive correlation O Negative correlation O No correlation
Please help me answer the questions about correlation according to the graph. So would it be linear, strong, positive, or no association? Or negative and weak?
Find R, R^2 and P Value
The results from a research study indicate that adolescents who watch more violent content on television also tend to engage in more violent behavior than their peers. The correlation between amount of TV violent content and amount of violent behavior is an example of Question 25 options: a positive correlation a negative correlation a correlation near zero a correlation near one
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