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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 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 Pearson's correlation between variables X and Y is: O3.205 -,698 -.015 -. 309 (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 (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

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 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 Pearson's correlation between variables X and Y is: O3.205 -,698 -.015 -. 309 (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 (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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 15PPS
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**Statistical Analysis of Collected Data for PSYC 227 Class Project** A student in PSYC 227 class collects data for a class project involving 10 classmates. The project consists of two tasks for each participant: 1. Shooting 10 free throws on a standard basketball court and recording the number of successful shots (variable X). 2. Completing an obstacle course and recording the time taken (variable Y). The objective is to statistically evaluate the relationship between variables X (number of shots made) and Y (time taken). The student calculates three key statistical metrics: - The sum of squared deviations for X. - The sum of squared deviations for Y. - The sum of cross products between X and Y. The table below provides a detailed breakdown of the calculations: | | \((X - \overline{X})^2\) | \((Y - \overline{Y})^2\) | \((X - \overline{X})(Y - \overline{Y})\) | |------------------------|------------------------|------------------------|----------------------------------------| | **Participant 1** | 3.24 | 15.21 | -7.02 | | **Participant 2** | 7.84 | 0.81 | -2.52 | | **Participant 3** | 1.44 | 16.81 | -4.92 | | **Participant 4** | 10.24 | 4.41 | -6.72 | | **Participant 5** | 0.04 | 9.61 | -0.62 | | **Participant 6** | 0.64 | 8.41 | -2.32 | | **Participant 7** | 3.24 | 15.21 | -7.02 | | **Participant 8** | 1.44 | 0.01 | -0.12 | | **Participant 9** | 0.04 | 4.41 | -0.42 | | **Participant 10** | 0.64 | 3.61 | -1.52 | | **SUM** | **28.8** | **78.5**
Transcribed Image Text:**Statistical Analysis of Collected Data for PSYC 227 Class Project** A student in PSYC 227 class collects data for a class project involving 10 classmates. The project consists of two tasks for each participant: 1. Shooting 10 free throws on a standard basketball court and recording the number of successful shots (variable X). 2. Completing an obstacle course and recording the time taken (variable Y). The objective is to statistically evaluate the relationship between variables X (number of shots made) and Y (time taken). The student calculates three key statistical metrics: - The sum of squared deviations for X. - The sum of squared deviations for Y. - The sum of cross products between X and Y. The table below provides a detailed breakdown of the calculations: | | \((X - \overline{X})^2\) | \((Y - \overline{Y})^2\) | \((X - \overline{X})(Y - \overline{Y})\) | |------------------------|------------------------|------------------------|----------------------------------------| | **Participant 1** | 3.24 | 15.21 | -7.02 | | **Participant 2** | 7.84 | 0.81 | -2.52 | | **Participant 3** | 1.44 | 16.81 | -4.92 | | **Participant 4** | 10.24 | 4.41 | -6.72 | | **Participant 5** | 0.04 | 9.61 | -0.62 | | **Participant 6** | 0.64 | 8.41 | -2.32 | | **Participant 7** | 3.24 | 15.21 | -7.02 | | **Participant 8** | 1.44 | 0.01 | -0.12 | | **Participant 9** | 0.04 | 4.41 | -0.42 | | **Participant 10** | 0.64 | 3.61 | -1.52 | | **SUM** | **28.8** | **78.5**
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