The Following Questions Will Be Based on the Following -What Is the Correlation Between IQ and Rank in Class

question 104

Short Answer

The Following Questions will be based on the following:
A group of 10 college seniors was randomly selected and given a WAIS-III IQ test. The IQs were recorded and then compared with each student's rank in class. The data are as follows: $$\begin{array} { l c c } \text { Student\# } & \text { IQ } & \text { Rank In Class } \\\text { 1. } & 120 & 1 \\\text { 2. } & 125 & 2 \\\text { 3. } & 122 & 3 \\\text { 4. } & 110 & 4 \\\text { 5. } & 95 & 5 \\\text { 6. } & 105 & 6 \\\text { 7. } & 100 & 7 \\8 . & 110 & 8 \\9 . & 100 & 9 \\10 . & 94 & 10\end{array}$$
-What is the correlation between IQ and Rank in Class?

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Definitions:

Determination

The measure of how well a set of data points fit a statistical model.

SSR

Sum of Squares for Regression, a statistical measure that showcases how well a regression model captures the explained variance in the data.

SSE

Stands for Sum of Squares due to Error, representing a measure of the discrepancy between the data and an estimation model.

Degrees Of Freedom

A concept used in statistical analysis, indicating the number of independent values or quantities that can vary within an analysis without breaking any constraints.