The following estimated regression equation based on 10 observations was presented.

= 21.1270 + 0.5503x₁ + 0.4920x₂

Here, SST = 6,728.125, SSR = 6,221.375, s_b1 = 0.0814, and

s_b2 = 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 = 0.05.State the null and alternative hypotheses.

H₀: ₁ > ₂

H_a: _{1 2}

H₀: ₁ 0 and ₂ = 0

H_a: ₁ = 0 and ₂ 0

H₀: ₁ 0 and ₂ 0

H_a: One or more of the parameters is equal to zero.

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.)F =

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 the overall model is significant.

Do not reject H₀. There is sufficient evidence to conclude that the overall model is significant.

Reject H₀. There is insufficient evidence to conclude that the overall model is significant.

Do not reject H₀. There is insufficient evidence to conclude that the overall model is significant.

(c)Perform a t test for the significance of ₁.

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.)t =

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

State your conclusion.

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 sufficient evidence to conclude that ₁ is significant.

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

(d)Perform a t test for the significance of ₂.

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.)t =

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

State your conclusion.

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

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