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There has been an increasing emphasis in recent years to make sure that young women are given the same opportunities to develop their mathematical skills as males in U.S. educational systems. The following table provides the average SAT scores for male and female students over the past 35 years. Plot the four separate time series.
a. Plot the four separate time series and describe any trends in the separate time series.
b. Do the trends appear to imply a narrowing in the differences between male and female math scores?
c. Do the trends appear to imply a narrowing in the differences between male and female verbal scores?
What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained?
The national average SAT score (for Verbal and Math) is 1028. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 100. If a random sample of 200 scores were selected and the sample mean were calcula..
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