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

x1	x2	y
30	12	92
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

= 19.41 + 2.02x₁ + 4.75x₂.

Here, SST = 15,370.9, SSR = 14,218.0, s_b1 = 0.2495, and s_b2 = 0.9577.

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

Use = 0.05.State the null and alternative hypotheses.

H₀: ₁ < ₂ H_a: _{1 2}

H₀: ₁ 0 and ₂ 0 H_a: One or more of the parameters is equal to zero.

H₀: ₁ 0 and ₂ = 0 H_a: ₁ = 0 and ₂ 0

H₀: ₁ > ₂ H_a: _{1 2}

H₀: ₁ = ₂ = 0 H_a: 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.)

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

p-value =

State your conclusion.

Do not reject H₀. There is insufficient evidence to conclude that there is a significant relationship among the variables.

Reject H₀. There is insufficient evidence to conclude that there is a significant relationship among the variables.

Do not reject H₀. There is sufficient evidence to conclude that there is a significant relationship among the variables.

Reject H₀. There is sufficient evidence to conclude that there is a significant relationship among the variables.

(b)Is ₁ significant? Use = 0.05.

State the null and alternative hypotheses.

H₀: ₁ = 0 H_a: ₁ > 0

H₀: ₁ = 0 H_a: ₁ 0

H₀: ₁ 0 H_a: ₁ = 0

H₀: ₁ > 0 H_a: ₁ 0

H₀: ₁ < 0 H_a: ₁ 0

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.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that ₁ is significant.

Do not reject H₀. There is insufficient evidence to conclude that ₁ is significant.

Do not reject H₀. There is sufficient evidence to conclude that ₁ is significant.

Reject H₀. There is insufficient evidence to conclude that ₁ is significant.

(c)Is ₂ significant? Use = 0.05.

State the null and alternative hypotheses.

H₀: ₂ > 0 H_a: ₂ 0

H₀: ₂ = 0 H_a: ₂ > 0

H₀: ₂ = 0 H_a: ₂ 0

H₀: ₂ < 0 H_a: ₂ 0

H₀: ₂ 0 H_a: ₂ = 0

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.)

p-value =

State your conclusion.

Reject H₀. There is sufficient evidence to conclude that ₂ is significant.

Do not reject H₀. There is insufficient evidence to conclude that ₂ is significant.

Reject H₀. There is insufficient evidence to conclude that ₂ is significant.

Do not reject H₀. There is sufficient evidence to conclude that ₂ is significant.