End of Section Problem 12.29 Use the following data and determine the se. х у 5...

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End of Section Problem 12.29 Use the following data and determine the se. х у 5 49 7 38 32 11 (-) 5.788 -1.986 -1.533 -5.920

math Statistics-And-Probability

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Answer 1

Answer #1

x	y	$(y-\hat y)$	$(y-\hat y)^2$
5	48	5.788	33.501
7	38	-1.986	3.944
11	32	-1.533	2.350
12	26	-5.920	35.046
21	22	4.599	21.151
25	10	-0.949	0.901
			$\sum(y-\hat y)^2=96.893$

$\\ Here\\ n=6\\ SSE=\sum(y-\hat y)^2=96.893\\ \\ So,\ s_e=\sqrt{\frac{SSE}{n-2}}=\sqrt \frac{96.893}{6-2}=\sqrt \frac{96.893}{4}=\boldsymbol{{\color{Red} 4.92}}$

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