**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

See similar textbooks

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.
X1 and 5. The following table gives indices of industrial production of registered unemployed (in lakhs). Calculate the value of the coefficient of correlation. Year 2008 2009 102 2010 2011 2012 2013 2014 2015 Index of Production 100 104 107 105 112 103 99 Number Unemployed : 15 12 13 11 12 12 19 26 20
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.
Using the below data, how will you judge the degree of correlation between the two variables x and y? Edxdy = 125 n =60 Ox=5 Cy = 7 O a. Very high degree of correlation O b. Very low degree of correlation O C. Perfect correlation O d. No correlation
Using the below data, how will you judge the degree of correlation between the two variables x and y? Edxdy = 125 Ox = 5 n = 60 Oy = 7 O a. Very low degree of correlation O b. No correlation O C. Perfect correlation O d. Very high degree of correlation
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
Dr. Wabld Hamdy given by the following table: y X-4 -2 2 4 --2 0 0.25 0 0 -100 0.25 1 0.25 00 0 2 0.25 0 Find the correlation coefficient between X and Y llu mad and imported automobiles sold
The correlation between a variable and itself is always equal to 0.5 -1 1

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS