**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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Similar questions

Given that the linear correlation coefficient r is found to be 0.867, what is the proportion of the variation in the left arm measurements that is explained by the relationship between the right and left arm measurements? Right arm 102 101 94 79 79 Left arm 175 169 182 146 144
For each of a number of cities across Canada, the number of people with Cantonese as a mother tongue and the number of people with Mandarin as a mother tongue were rocorded. A scatterplot of the data is shown in the figure below. The correlation between the number of Cantonese speakers in a city aud the number of Mandarin speakers is 0.980. Do you think this correlation is a reasonable summary of the relationship? Why, or why not? (a) If the two largest cities (Toronto and Vancouver) were removed, the correlation would be even higher. (b) No, because there are outliers and/or influential points. (c) Yes, because the relationship is more or less linear. (d) No, because the relationship is clearly curved. (e) Yes, because there are no influential points.
Describe the relationship between x and y in a positive correlation and in a negative correlation. In the calculations for the correlation coefficient, what does the sum of products of deviations measure and how is this number used in the calculation of r?
A manager of a local retail store analyzes the relationship between the number of rainy days and sales by reviewing the store’s data for the previous six months. She computes the correlation between sales and number of rainy days as -0.90. Select ALL that apply. a. There is a strong positive linear relationship between sales and number of rainy days. b. As the number of rainy days increases sales decrease. c. As the number of rainy days increases sales increase. d. There is a strong negative linear relationship between sales and the number of rainy days.
What is the coefficient of correlation given this data: X = 51, 42, 34, 10, -1 Y = 59, 30, 24, 19, -11 Please format to 2 decimal places.
we can conclude from correlation calculation that one variable caused the other variable. True or False.
The following statement contains an error. Choose the statement that best explains the error. "The correlation between shoe size and height is 0.87 inches" A. Correlation requires that both of the variables be categorical B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship C. This statement does not tell us whether or not shoe size is correlated with height D. When reporting correlation, one does not report units because correlation has no units E. There is no error in this statement
The correlation between a variable and itself is always equal to 0.5 -1 1
Summarize the definitions for linear correlation, quadratic correlations and exponential correlations. Provide an example graph of each of the types of correlation along with your summarized definitions.
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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.
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

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