Question

4. The results of variance analysis of three variables model are given in the following table: Sum of squares (SS) Degrees of freedom (df) Mean of sum of squares (MSS) ESS 106.58 RSS TSS 108.38 19 / Note: At a 5% significance level, $F_a = 4.45$. (i) Fill in the blanks in the above form. (no calculation required). (ii) $R^2 = ?$ and $\bar{R}^2 = ?$ (iii) Using F-statistics to test the influence $X_2$ and $X_3$ on Y, write out the brief steps.

          4. The results of variance analysis of three variables model are given in the following table:
Sum of squares (SS)
Degrees of freedom (df)
Mean of sum of squares (MSS)
ESS
106.58
RSS
TSS
108.38
19
/
Note: At a 5% significance level, $F_a = 4.45$.
(i) Fill in the blanks in the above form. (no calculation required).
(ii) $R^2 = ?$ and $\bar{R}^2 = ?$
(iii) Using F-statistics to test the influence $X_2$ and $X_3$ on Y, write out the brief steps.

4. The results of variance analysis of three variables model are given in the following table:
Sum of squares (SS)
Degrees of freedom (df)
Mean of sum of squares (MSS)
ESS
106.58
RSS
TSS
108.38
19
/
Note: At a 5% significance level, $Fa = 4.45$.
(i) Fill in the blanks in the above form. (no calculation required).
(ii) R^2 = ? and R̅^2 = ?
(iii) Using F-statistics to test the influence X2 and X3 on Y, write out the brief steps.

Added by Tiffany S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Sri K

12/12/2022

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Step 1: The degrees of freedom for ESS is 1. Show more…

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4. The results of variance analysis of three variables model are given in the following table: Sum of squares (SS) Degrees of freedom (df) Mean of sum of squares (MSS) ESS 106.58 RSS TSS 108.38 19 / Note: At a 5% significance level, $F_α$=4.45. (i) Fill in the blanks in the above form. (no calculation required). (ii) R²=? and R² =? (iii) Using F-statistics to test the influence X₂ and X₃ on Y, write out the brief steps.