You may need to use the appropriate technology to answer this question. The following estimated regression equation base
Posted: Wed Jul 06, 2022 12:24 pm
You may need to use the appropriate technology to answer thisquestion. The following estimated regression equation based on 10observations was presented. ลท = 23.1270 + 0.5902x1 + 0.4980x2 Here,SST = 6,734.125, SSR = 6,229.375, sb1 = 0.0814, and sb2 = 0.0563.(a) Compute MSR and MSE. (Round your answers to three decimalplaces.) MSR = MSE = (b) Compute F and perform the appropriate Ftest. Use ๐ผ = 0.05. State the null and alternative hypotheses. H0:๐ฝ1 โ 0 and ๐ฝ2 โ 0 Ha: One or more of the parameters is equal tozero. H0: ๐ฝ1 < ๐ฝ2 Ha: ๐ฝ1 โฅ ๐ฝ2 H0: ๐ฝ1 โ 0 and ๐ฝ2 = 0 Ha: ๐ฝ1 = 0and ๐ฝ2 โ 0 H0: ๐ฝ1 = ๐ฝ2 = 0 Ha: One or more of the parameters is notequal to zero. H0: ๐ฝ1 > ๐ฝ2 Ha: ๐ฝ1 โค ๐ฝ2 Find the value of thetest statistic. (Round your answer to two decimal places.) F = Findthe p-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 ๐ฝ1. Use ๐ผ= 0.05. State the null and alternative hypotheses. H0: ๐ฝ1 < 0Ha: ๐ฝ1 โฅ 0 H0: ๐ฝ1 โ 0 Ha: ๐ฝ1 = 0 H0: ๐ฝ1 > 0 Ha: ๐ฝ1 โค 0 H0: ๐ฝ1 =0 Ha: ๐ฝ1 > 0 H0: ๐ฝ1 = 0 Ha: ๐ฝ1 โ 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 ๐ฝ1 is significant. Do not reject H0.There is insufficient evidence to conclude that ๐ฝ1 is significant.Reject H0. There is insufficient evidence to conclude that ๐ฝ1 issignificant. Reject H0. There is sufficient evidence to concludethat ๐ฝ1 is significant. (d) Perform a t test for the significanceof ๐ฝ2. Use ๐ผ = 0.05. State the null and alternative hypotheses. H0:๐ฝ2 > 0 Ha: ๐ฝ2 โค 0 H0: ๐ฝ2 = 0 Ha: ๐ฝ2 โ 0 H0: ๐ฝ2 < 0 Ha: ๐ฝ2 โฅ 0H0: ๐ฝ2 = 0 Ha: ๐ฝ2 > 0 H0: ๐ฝ2 โ 0 Ha: ๐ฝ2 = 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 ๐ฝ2 is significant. Do not reject H0.There is sufficient evidence to conclude that ๐ฝ2 is significant. Donot reject H0. There is insufficient evidence to conclude that ๐ฝ2is significant. Reject H0. There is sufficient evidence to concludethat ๐ฝ2 is significant.