When fitting the regression of Y on X for two groups, we can estimate the slope and intercept within each group either by fitting two simple regressions or by fitting one multiple regression. If simple regressions are so much easier to interpret, why combine them into one multiple regression?
Answer to relevant QuestionsMultiple regression requires an assumption that the combination of the two simple regressions does not require. What is it, and what condition of the multiple regression does it affect? The analysis of covariance emphasizes the use of regression to fix a problem with the two-sample t-test that has a confounding variable. You can also think of the use of a dummy variable as a way to fix a problem in the ...Production Costs (introduced in Chapter 19) A manufacturer produces custom metal blanks that are used by its customers for computer-aided machining. The customer sends a design via computer (a 3-D blueprint), and the ...The music on an Apple iPod can be stored digitally in several formats. A popular format for Apple is known as AIFF, short for Audio Interchange File Format. Another format is known as AAC, short for Advanced Audio Coding. ...Consider the data shown in the following plot. Each group has 12 cases. Do the means appear statistically significant? Estimate the p-value: Is it about 0.5, about 0.05, or less than 0.0001?
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