Question

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

x1	x2	y
30	12	95
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 = −17.85 + 2.00x₁ + 4.73x₂.

Here, SST = 15,091.6, SSR = 13,969.7,

s_b1 = 0.2462, and s_b2 = 0.9447.

(a) Test for a significant relationship among x₁, x₂, and y. 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.)

(b) 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.)

(c) 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.)

Answer 1

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