1. How is analysis of variance related to regression analysis?
2. In a regression analysis, the sum of the squared deviations between y and y} is SST 5 120.0. If the coefficient of correlation is r 5 0.7, what are the values of SSE and SSR?
3. In a regression analysis, the sum of the squared deviations between y and y} is SST 5 200.0. If the sum of the squared deviations about the regression line is SSE 5 40.0, what is the coefficient of determination?
4. Given the information below, calculate SST, SSR, and SSE, determine the coefficient of determination, then use ANOVA and the 0.05 level in testing whether r2 is significantly different from zero.
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x:
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5
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4
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10
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9
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10 Least-squares equation:
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y:
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34
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44
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65
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47
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66 yˆ 5 20.66 1 4.02x
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5. Given the information below, calculate SST, SSR, and SSE, determine the coefficient of determination, then use ANOVA and the 0.05 level in testing whether r2 is significantly different from zero.
x: 4 1 4 6 Least-squares equation:
y: 381 403 394 385
yˆ 5 404.94 2 3.78x
(DATA SET) Note: Exercises 15.57-15.59 require a computer and statistical software.