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You may need to use the appropriate technology to answer this question. The following estimated regression equation base

Posted: Tue Jul 05, 2022 9:56 am
by answerhappygod
You may need to use the appropriate technology to answer thisquestion. The following estimated regression equation based on 10observations was presented. ลท = 21.1170 + 0.5705x1 + 0.4940x2 Here,SST = 6,722.125, SSR = 6,221.375, sb1 = 0.0811, and sb2 = 0.0569.(a) Compute MSR and MSE. (Round your answers to three decimalplaces.) MSR = MSE = (b) Compute F and perform the appropriate Ftest. Use ๐›ผ = 0.05. State the null and alternative hypotheses. H0:๐›ฝ1 = ๐›ฝ2 = 0 Ha: One or more of the parameters is not equal to zero.H0: ๐›ฝ1 โ‰  0 and ๐›ฝ2 โ‰  0 Ha: One or more of the parameters is equal tozero. H0: ๐›ฝ1 โ‰  0 and ๐›ฝ2 = 0 Ha: ๐›ฝ1 = 0 and ๐›ฝ2 โ‰  0 H0: ๐›ฝ1 > ๐›ฝ2Ha: ๐›ฝ1 โ‰ค ๐›ฝ2 H0: ๐›ฝ1 < ๐›ฝ2 Ha: ๐›ฝ1 โ‰ฅ ๐›ฝ2 Find the value of the teststatistic. (Round your answer to two decimal places.) F = Find thep-value. (Round your answer to three decimal places.) p-value =State your conclusion. Reject H0. There is sufficient evidence toconclude that the overall model is significant. Do not reject H0.There is sufficient evidence to conclude that the overall model issignificant. Reject H0. There is insufficient evidence to concludethat the overall model is significant. Do not reject H0. There isinsufficient evidence to conclude that the overall model issignificant. (c) Perform a t test for the significance of ๐›ฝ1. Use ๐›ผ= 0.05. State the null and alternative hypotheses. H0: ๐›ฝ1 = 0 Ha:๐›ฝ1 โ‰  0 H0: ๐›ฝ1 โ‰  0 Ha: ๐›ฝ1 = 0 H0: ๐›ฝ1 > 0 Ha: ๐›ฝ1 โ‰ค 0 H0: ๐›ฝ1 < 0Ha: ๐›ฝ1 โ‰ฅ 0 H0: ๐›ฝ1 = 0 Ha: ๐›ฝ1 > 0 Find the value of the teststatistic. (Round your answer to two decimal places.) t = Find thep-value. (Round your answer to three decimal places.) p-value =State your conclusion. Do not reject H0. There is sufficientevidence to conclude that ๐›ฝ1 is significant. Reject H0. There isinsufficient evidence to conclude that ๐›ฝ1 is significant. Do notreject H0. There is insufficient evidence to conclude that ๐›ฝ1 issignificant. Reject H0. There is sufficient evidence to concludethat ๐›ฝ1 is significant. (d) Perform a t test for the significanceof ๐›ฝ2. Use ๐›ผ = 0.05. State the null and alternative hypotheses. H0:๐›ฝ2 โ‰  0 Ha: ๐›ฝ2 = 0 H0: ๐›ฝ2 < 0 Ha: ๐›ฝ2 โ‰ฅ 0 H0: ๐›ฝ2 > 0 Ha: ๐›ฝ2 โ‰ค 0H0: ๐›ฝ2 = 0 Ha: ๐›ฝ2 โ‰  0 H0: ๐›ฝ2 = 0 Ha: ๐›ฝ2 > 0 Find the value ofthe test statistic. (Round your answer to two decimal places.) t =Find the p-value. (Round your answer to three decimal places.)p-value = State your conclusion. Reject H0. There is insufficientevidence to conclude that ๐›ฝ2 is significant. Reject H0. There issufficient evidence to conclude that ๐›ฝ2 is significant. Do notreject H0. There is insufficient evidence to conclude that ๐›ฝ2 issignificant. Do not reject H0. There is sufficient evidence toconclude that ๐›ฝ2 is significant.