The director of an alumni association wants to determine whether there is any type of relationship between the amount of an alumni's contribution (in dollars) and the number of years the alumnus has been out of school.  Based on the data below, decide if the correlation between the number of years and the amount of the contribution is significant at the alpha value of 0.05. Years x 1 3 5 10 6 9 Contribution y 640 290 170 45 70 80 a.        Determine r2 b.        Determine Sest c.        Find the 95% prediction interval when x = 8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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The director of an alumni association wants to determine whether there is any type of relationship between the amount of an alumni's contribution (in dollars) and the number of years the alumnus has been out of school.  Based on the data below, decide if the correlation between the number of years and the amount of the contribution is significant at the alpha value of 0.05.

Years x 1 3 5 10 6 9
Contribution y 640 290 170 45 70 80

a.        Determine r2

b.        Determine Sest

c.        Find the 95% prediction interval when x = 8

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