Based on n = 20 observations to fit a multiple linear regression model y = beta_

Question

Based on n = 20 observations to fit a multiple linear regression model y = beta_0 + beta_1 x_1 + beta_1 x_1 + beta_2 x_2 + beta_3 x_3.SS_ and SSE were found to be, respectively, 186 and 28 You are asked to use the ANOVA F-test on page 667 to test H_0: All three model terms are unimportant in predicting y against H_a: At least one model term is useful in predicting y. Find the observed value of the test statistic F. (a) 30.0952 (b) 31.9762 (c) 23.9821 (d) 0.8495 Based on the following categorical data Cell 1 2 3/o_i 41 66 93 you are asked to test H_0: p_1 = 0.25, p_2 = 0.3, P_3 = 0.45. Find the observed value of the one-way x^2 -test. (a) 126 (b) 3.8415 (c) 2.6178 (d) 2.32 In some two-way contingency table problem, there are r = 4 rows and c = 5 columns. We test H_0: The two classifications are independent against H_a: The two are dependent at the alpha = 0.01 level. Find the rejection region for this test. (a) x^2 > 18.5494 (b) x^2 > 26.2170 (c) x^2 > 36.1908 (d) x^2 > 3.57056

Explanation / Answer

We have given n=20 , and k = 3 (since there are three models)

We have given SSyy = 186 and SSE = 28

We can find F value by formula directly.

(SSyy-SSE) / k

F = --------------------------- = 30.0952

SSE/ (n-k-1)

This is F value for test.

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