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You have read the analysis in chapter 9 and want to explore the relationship between poverty and test scores. You decide to start your analysis by running a regression of test scores on the percent of students who are eligible to receive a free/reduced price lunch both in California and in Massachusetts. The results are as follows: CA = 681.44 - 0.610×PctLchCA
(0.99)(0.018)
n = 420, R2 = 0.75, SER = 9.45 MA = 731.89 - 0.788×PctLchMA
(0.95)(0.045)
n = 220, R2 = 0.61, SER = 9.41
Numbers in parenthesis are heteroskedasticity-robust standard errors.
a. Calculate a t-statistic to test whether or not the two slope coefficients are the same.
b. Your textbook compares the slope coefficients for the student-teacher ratio instead of the percent eligible for a free lunch. The authors remark: "Because the two standardized tests are different, the coefficients themselves cannot be compared directly: One point on the Massachusetts test is not the same as one point on the California test." What solution do they suggest?
Predictive Validity
Predictive validity refers to the extent to which a test score or measure accurately predicts future performance on a related task or outcome.
Intelligence Tests
Intelligence tests are standardized exams or assessments designed to measure human intelligence and cognitive abilities.
Mental Aptitudes
Natural abilities or talents that influence an individual's capacity to learn and perform in various tasks.
Heritability
A measure of how much of the variation in a trait among individuals can be attributed to genetic differences.
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