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Please solve this 6. (ANOVA Calculation) Suppose a model has two predictors ind _ K N N060 +131371'1 +132$e2,02), % = 1,...111. n = 545.

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6. (ANOVA Calculation) Suppose a model has two predictors ind _ K N N060 +131371'1 +132$e2,02), % = 1,...111. n = 545. The sample mean and sample variance of Y (using 11. 1 as divisor) are 85.4 and 563.8, respectively. The sample correlation between Y and $1 is 0.61; the sample correlation between Y and 3:2 is 0.37; and the sample correlation between :31 and 2:2 is 0.551 where (3) Compute the sample partial correlation coefcient ry2.1. (b) Compute the ANOVA table. Include the sum of squares due to the regression on 2:1, and the sum of squares due to the regression on an after including an. In this table, only 3 columns (Source, SS1 DF) are required. (Hint: refer to Lecture 5' ANOVA Example 2) (c) Test the null hypothesis that Ha : g : 0 v.s. H1 : ,8; 75 0, at 0.05 level of signicance. (d) Test the null hypothesis that H0 : ,81 2 2 : 0 vs. H1 : at least one of ,81 and [32 is not 0, at 0.05 level of signicance. (Hint: the hypothesis is actually the ANOVA Example 1 in Lecture 3'.)

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