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

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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
Transcribed Image Text: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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