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Progress in math scores. Every few years, the National Assessment of Educational Progress asks a national sample of eighth-graders to perform the same math tasks. The goal is to get an honest picture of progress in math. Here are the last few national mean scores, on a scale of 0 to 500:
(a) Make a time plot of the mean scores, by hand. This is just a scatterplot of score against year. There is a slow linear increasing trend.
(b) Find the regression line of mean score on year step-by-step. First calculate the mean and standard deviation of each variable and their correlation (use a calculator with these functions). Then find the equation of the least-squares line from these. Draw the line on your scatterplot. What percent of the year-to-year variation in scores is explained by the linear trend?
(c) Now use software or the regression function on your calculator to verify your regression line.
The researcher computed the number of migraines individuals reported during a six-month time frame as a function of the amount of stress they reported during that same time period. There were three stress levels: low, mild, and severe.
Known population of 1000 students to construct a 95% confidence interval for teh average SAT score. What correction factor should be used to compute the standard error?
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The Institute for Operations Research and the Management Sciences
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If there is relationship between parental income and SAT score, why can't we conclude that differences in score are caused by differences in parental income?
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