In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 For this estimated regression equation, SST = 1,855 and SSR = 1,810. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) Suppose variables x1 and x4 are dropped from the model and the following estimated regression equation is obtained. ŷ = 11.1 − 3.6x2 + 8.1x3 For this model, SST = 1,855 and SSR = 1,755. (b)Compute SSE(x1, x2, x3, x4). SSE(x1, x2, x3, x4) (c)Compute SSE(x2, x3). SSE(x2, x3)= (d)Use an F test and a 0.05 level of significance to determine whether x1 and x4 contribute significantly to the model. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value =
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4 For this estimated regression equation, SST = 1,855 and SSR = 1,810. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) Suppose variables x1 and x4 are dropped from the model and the following estimated regression equation is obtained. ŷ = 11.1 − 3.6x2 + 8.1x3 For this model, SST = 1,855 and SSR = 1,755. (b)Compute SSE(x1, x2, x3, x4). SSE(x1, x2, x3, x4) (c)Compute SSE(x2, x3). SSE(x2, x3)= (d)Use an F test and a 0.05 level of significance to determine whether x1 and x4 contribute significantly to the model. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value =
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...
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In a regression analysis involving 30 observations, the following estimated regression equation was obtained.
ŷ = 17.6 + 3.8x1 − 2.3x2 + 7.6x3 + 2.7x4
For this estimated regression equation, SST = 1,855 and SSR = 1,810.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
Suppose variables x1 and x4 are dropped from the model and the following estimated regression equation is obtained.
ŷ = 11.1 − 3.6x2 + 8.1x3
For this model, SST = 1,855 and SSR = 1,755.
(b)Compute SSE(x1, x2, x3, x4).
SSE(x1, x2, x3, x4)
(c)Compute SSE(x2, x3).
SSE(x2, x3)=
(d)Use an F test and a 0.05 level of significance to determine whether x1 and x4 contribute significantly to the model.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
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