In: Statistics and Probability
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The following estimated regression equation based on 10 observations was presented. ŷ = 23.1570 + 0.5305x1 + 0.4980x2
Here, SST = 6,728.125, SSR = 6,215.375, sb1 = 0.0813, and sb2 = 0.0561.
(a) Compute MSR and MSE. (Round your answers to three decimal places.)
MSR=
MSE=
b) Compute F and perform the appropriate F test. Use α = 0.05.
Find the value of the test statistic. (Round your answer to two decimal places.)
F =
c) Perform a t test for the significance of β1. Use α = 0.05.
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
(d) Perform a t test for the significance of β2. Use α = 0.05.
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
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