A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10 free throws on a standard basketball court and records the number of shots made by each participant(X). She also has these same participants run an obstacle course and records their time (Y). She wants to statistically evaluate if variables X and Y are related. She computes the sum of squareddeviations for X, the sum of squared deviations for Y, and the sum of cross products between X and Y.SUM(x-x)²3.247.841.4410.240.040.643.241.440.040.6428.8What is the percentage of shared variance between X and Y?490O 10O 70(Y-Y)²15.210.8116.814.419.618.4115.210.014.413.6178.5(X-X) (Y-Y)-7.02-2.52-4.92-6.72-0.62-2.32-7.02-0.12-0.42-1.52- 33.2

It is given that the two random variables X and Y. The sum of squared deviation for X and sum of…

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What is the percentage of shared variance between X and Y? 49 0 10 70 000 28.8 78.5

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

Problem 2CYU

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Question

A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10 free throws on a standard basketball court and records the number of shots made by each participant
(X). She also has these same participants run an obstacle course and records their time (Y). She wants to statistically evaluate if variables X and Y are related. She computes the sum of squared
deviations for X, the sum of squared deviations for Y, and the sum of cross products between X and Y.
SUM
(x-x)²
3.24
7.84
1.44
10.24
0.04
0.64
3.24
1.44
0.04
0.64
28.8
What is the percentage of shared variance between X and Y?
49
0
O 10
O 70
(Y-Y)²
15.21
0.81
16.81
4.41
9.61
8.41
15.21
0.01
4.41
3.61
78.5
(X-X) (Y-Y)
-7.02
-2.52
-4.92
-6.72
-0.62
-2.32
-7.02
-0.12
-0.42
-1.52
- 33.2

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