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Question 2 Tiffany organizes a street collection for a mental health charity. The collection takes place in Kingston on a particular Saturday. Volunteers, with collecting tins, stand in busy places and ask passers-by for donations. The following table shows, for eight volunteers, the times, x minutes, they spent collecting together with amounts to the nearest hundred-dollar, y, they collected. A. B. C. X y 65 21 187 52 55 8 143 90 28 10 Determine the product-moment coefficient 74 19 88 17 90 47 Determine the linear regression equation that relates to the data. If a volunteer spent 100 minutes, estimate how much money would be collected?

Question 2 Tiffany organizes a street collection for a mental health charity. The collection takes place in Kingston on a particular Saturday. Volunteers, with collecting tins, stand in busy places and ask passers-by for donations. The following table shows, for eight volunteers, the times, x minutes, they spent collecting together with amounts to the nearest hundred-dollar, y, they collected. A. B. C. X y 65 21 187 52 55 8 143 90 28 10 Determine the product-moment coefficient 74 19 88 17 90 47 Determine the linear regression equation that relates to the data. If a volunteer spent 100 minutes, estimate how much money would be collected?

MATLAB: An Introduction with Applications
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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Question 2 Tiffany organizes a street collection for a mental health charity. The collection takes place in Kingston on a particular Saturday. Volunteers, with collecting tins, stand in busy places and ask passers-by for donations. The following table shows, for eight volunteers, the times, x minutes, they spent collecting together with amounts to the nearest hundred-dollar, y, they collected. A. B. C. 65 21 187 52 55 8 143 28 X y Determine the product-moment coefficient 90 10 74 19 88 17 90 47 Determine the linear regression equation that relates to the data. If a volunteer spent 100 minutes, estimate how much money would be collected?
Transcribed Image Text:Question 2 Tiffany organizes a street collection for a mental health charity. The collection takes place in Kingston on a particular Saturday. Volunteers, with collecting tins, stand in busy places and ask passers-by for donations. The following table shows, for eight volunteers, the times, x minutes, they spent collecting together with amounts to the nearest hundred-dollar, y, they collected. A. B. C. 65 21 187 52 55 8 143 28 X y Determine the product-moment coefficient 90 10 74 19 88 17 90 47 Determine the linear regression equation that relates to the data. If a volunteer spent 100 minutes, estimate how much money would be collected?
Expert Solution
Step 1

Given:

n = 8

Formula Used:

Product moment coefficient r = n∑XY-∑X∑Yn∑X2-∑X2n∑Y2-∑Y2

The equation of linear regression:

Y = a + bX

Where b is a slope and a is the intercept.

b = n∑XY-∑X∑Yn∑X2-∑X2

a = ∑Y-b∑Xn

 

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