Answered step by step
Verified Expert Solution
Question
1 Approved Answer
The following estimated regression equation based on 10 observations was presented. = 29.1670 + 0.5704X, + 0.4980*2 Here, SST = 6,736.125, SSR = 6,222.375, s;,
The following estimated regression equation based on 10 observations was presented. = 29.1670 + 0.5704X, + 0.4980*2 Here, SST = 6,736.125, SSR = 6,222.375, s;, = 0.0813, and 56, = 0.0569. (a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR = MSE = (b) Compute F and perform the appropriate F test. Use a = 0.05. State the null and alternative hypotheses. O Ho: B1 = 0 and B2 = 0 He : One or more of the parameters is equal to zero. Ho : B 1 > B2 H : B1 = P2 H: B1 = $2 OH: B1 282 H : B, = 0 and B2 = 0 JH : B, = 0 and B2 * 0 O Ho: B1 = B2 =0 He: 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.) p-value = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the overall model is significant. O Do not reject Ho. There is sufficient evidence to conclude that the overall model is significant. O Reject Ho. There is insufficient evidence to conclude that the overall model is significant. O Do not reject Ho. There is insufficient evidence to conclude that the overall model is significant.(c) Perform a t test for the significance of B, . Use a = 0.05. State the null and alternative hypotheses. Ho: B, CO H.: B, 20 Ho: B, = 0 HA: B1 20 H: B, =0 H- : B1 =0 Ho: B, = 0 H : B1 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. O Do not reject Ho. There is insufficient evidence to conclude that B, is significant. O Reject Ho. There is sufficient evidence to conclude that B, is significant. O Reject Ho. There is insufficient evidence to conclude that B, is significant. O Do not reject Ho. There is sufficient evidence to conclude that B, is significant.(d) Perform a t test for the significance of B,. Use a = 0.05. State the null and alternative hypotheses. O Ho: B, = 0 H: B, = 0 Ho: B, 0 O H: B, >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. O Do not reject Ho. There is insufficient evidence to conclude that , is significant. O Reject H . There is insufficient evidence to conclude that B, is significant. O Reject H . There is sufficient evidence to conclude that , is significant. O Do not reject H . There is sufficient evidence to conclude that , is significant
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started