When estimating a multiple linear regression model based on 30 observations, the following results were obtained. [You may find it useful to reference the t table.]

CoefficientsStandard Errort Statp-value

Intercept153.65119.291.2880.209

x112.242.724.5000.000

x22.452.940.8330.412

a-1. Choose the hypotheses to determine whether x1 and y are linearly related.

H0: 1 0; HA: 1 > 0

H0: 0 0; HA: 0 > 0

H0: 1 = 0; HA: 1 0

H0: 0 = 0; HA: 0 0

a-2. At the 5% significance level, when determining whether x1 and y are linearly related, the decision is to:

Reject H0x1 and y are linearly related.

Reject H0x1 and y are not linearly related.

Do not reject H0we cannot conclude x1 and y are linearly related.

b-1. What is the 95% confidence interval for 2? (Negative values should be indicated by a minus sign. Round "t/2,df" value to 3 decimal places, and final answers to 2 decimal places.)

b-2. Using this confidence interval, is x2 significant in explaining y?

No, since the interval does not contain zero.

No, since the interval contains zero.

Yes, since the interval does not contain zero.

Yes, since the interval contains zero.

c-1. At the 5% significance level, choose the hypotheses to determine if 1 is less than 20.

H0: 1 = 20; HA: 1 20

H0: 1 20; HA: 1 < 20

H0: 1 20; HA: 1 > 20

c-2. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

c-3. At the 5% significance level, can you conclude that 1 is less than 20?

Yes, since the null hypothesis is rejected.

Yes, since the null hypothesis is not rejected.

No, since the null hypothesis is not rejected.

No, since the null hypothesis is rejected.