Question

Consider the following data for a dependent variable y and two independent variables, x1 and x2....

Consider the following data for a dependent variable y and two independent variables,

x1 and x2.

x1

x2

y
30 12 96
47 10 108
25 17 112
51 16 178
40 5 94
51 19 175
74 7 170
36 12 117
59 13 142
76 16 211

The estimated regression equation for these data is

ŷ = −17.33 + 2.00x1 + 4.73x2.

Here, SST = 15,002.1, SSR = 13,887.5, sb1 = 0.2454, and sb2 = 0.9417.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

Is β1 significant? Use α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

Is β2 significant? Use α = 0.05.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

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