### Analysis of Data Collected from a Psychology Class ProjectA student in a PSYC 227 class collected data for a class project to explore the relationship between two variables: the number of free throws made by classmates on a basketball court (X) and their times completing an obstacle course (Y). The data collection involved 10 participants. The student calculated several statistics to evaluate the relationship between these variables, including the sum of squared deviations for X, the sum of squared deviations for Y, and the sum of cross products between X and Y.#### Data Summary TableThe table below presents the calculated values:| \((X - \bar{X})^2\) | \((Y - \bar{Y})^2\) | \((X - \bar{X})(Y - \bar{Y})\) ||--------------------|---------------------|-------------------------------|| 3.24 | 15.21 | -7.02 || 7.84 | 0.81 | -2.52 || 1.44 | 16.81 | -4.92 || 10.24 | 4.41 | -6.72 || 0.04 | 9.61 | -0.62 || 0.64 | 8.41 | -2.32 || 3.24 | 15.21 | -7.02 || 1.44 | 0.01 | -0.12 || 0.04 | 4.41 | -0.42 || 0.64 | 3.61 | -1.52 |SUM: - \((X - \bar{X})^2\) = 28.8- \((Y - \bar{Y})^2\) = 78.5- \((X - \bar{X})(Y - \bar{Y})\) = -33.2#### Interpretation of Results- **\((X - \bar{X})^2\)**: This column represents the sum of squared deviations for variable X (number of free throws made). - **\((Y - \bar{Y})^2\)**: This column represents the sum of

The test is to check whether the variables X and Y are related or not.

Answered: A student in PSYC 227 class collects…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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