Answered: The experimenters conducted a…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Question

The experimenters conducted a regression analysis on the results and made the output from the analysis publicly available on Open Science Framework (osfio/fm5c2). From this output, we can derive that regression equation shown here. The equation predicts participants' relative performance estimates (from 0% to 99%) from their scores on the measure of their theories of intelligence, while controlling their actual scores on the antoymns test. Remember: The theories of intelligence survey includes a series of statements that participants rate on a scale of 1 to 6; average scores on the overall measure range from 1, indicating views of intelligence as highly stable; to 6, indicating views of intelligence as highly changeable.

Relative performance estimate = 12.10 (theories of intelligence score) +0.13 (antonyms test score).

Based on this regression equation, what kind of regression analysis did the researchers perform?

a. A simple linear regression analysis

b. Multiple regression analysis

c. Between-groups regression analysis

d. Partial regression analysis

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