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Your Textbook Presented You with the Following Regression Output  TestScore ^\widehat {\text { TestScore }}

question 7

Essay

Your textbook presented you with the following regression output:  TestScore ^\widehat {\text { TestScore }} = 698.9 - 2.28 × STR
n = 420, R2 = 0.051, SER = 18.6
(a)How would the slope coefficient change, if you decided one day to measure testscores in 100s, i.e., a test score of 650 became 6.5? Would this have an effect on your interpretation?
(b)Do you think the regression R2 will change? Why or why not?
(c)Although Chapter 4 in your textbook did not deal with hypothesis testing, it presented you with the large sample distribution for the slope and the intercept estimator. Given the change in the units of measurement in (a), do you think that the variance of the slope estimator will change numerically? Why or why not?

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Definitions:

Firm-Specific

Refers to risk or information that is unique to a particular company and not related to the market or industry.

Covariance

A measure used to determine how two variables change together, indicating the direction of the relationship.

Variance

A statistical measurement of the dispersion of data points in a data set around the mean, indicating the extent to which the numbers differ from each other.

Correlation Coefficient

A statistical measure that determines the degree to which two variables move in relation to each other, where +1 indicates a perfect positive correlation and -1 indicates a perfect negative correlation.

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