Use techology to find the p-value for f=42.94, rounding the result to three decimal places. p-value wir The conclusion is made by compsing of and the found rho value. If the rho-value is lens than or equal to a, the nuil hypothesis is rejected in favor of the alternative. U the p-value Is greater than a, we fall to reject the null hypotheis. Hecall the hypotheses being tested. H 0 :P 1 =f y =0 H a :One or more of the parameters is not equal to zero. The p value is 0.95. Therecore, we the null hypothetis and conclude that there sufficient evidence to coriclude that the The following estimated regression equation based on 10 observations was presented. φ=29.1970+0.5709x 1 +0.4940x 2 Here, SST=6,728.125,SSR=6,229.375,s b 1 =0.0813, and s b 2=0.0567. (a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR=
MSE=
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(b) Compute F and perform the appropriate F test. Use α=0.05. State the null and alternative hypotheses. H 0 :β 1 >β 2
​H a :β 1 ≤β 2
​H 0 :β 1 <β 2
H a:β 1 ≥β 2
​H 0 :β 1=0 and β 2 =0
H a :β 1=0 and β 2=0
​ H 0 :β 1=0 and β 2​=0 H a
​ : One or more of the parameters is equal to zero. H 0 :β 1 =β 2=0 H a
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: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) F= Find the p-value. (Round your answer to three decimal places.) F= Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion.Reject H 0
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. There is sufficient evidence to conclude that the overall model is significant. Do not reject H 0
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. There is sufficient evidence to conclude that the overall model is significant. Reject H 0​
. There is insufficient evidence to conclude that the overall model is significant. Do not reject H 0
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. There is insufficient evidence to conclude that the overall model is significant 2) Perform a t test for the significance of β 1
​
. Use α=0.05. State the null and alternative hypotheses. H 0 :β1​= <0a :β 1 ≥0H 0 :β 1 =0H a :β 1 >0H 0 :β 1​ =0H a :β 1​ =0H0 :β 1 =0H a :β 1=0H 0 :β 1 >0H a​ :β 1 ≤0​
Find the value of the 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 H 0
​
. There is sufficient evidence to conclude that β 1 is significant. Reject H 0
​
. There is insufficient evidence to conclude that β 1 is significant. Do not reject H 0
​
. There is sufficient evidence to conclude that β 1 is significant. Do not reject H 0
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. There is insufficient evidence to conclude that β 1 is significan (d) Perform a t test for the significance of β 2
​
. Use α=0.05. State the null and alternative hypotheses. H 0 :β 2=0H a :β 2=0H 0 :β 2 =0H a :β 2​=0H 0 :β 2 <0H a :β 2 ≥0H 0 :β 2 >0H a:β 2 ≤0H 0 :β 2​ =0H a :β 2 >0
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Find the value of the test statistic. (Round your answer to two decimal places.) Find the value of the 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. Do not reject H 0
​
. There is sufficient evidence to conclude that β 2 is significant. Do not reject H 0​
. There is insufficient evidence to conclude that β 2 is significant Reject H 0
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. There is sufficient evidence to conclude that β 2 is significant. Reject H 0
​
. There is insufficient evidence to conclude that β 2​is significant.