For the data set shown below, complete parts (a) through (d) below. (a) Find the

Question

For the data set shown below, complete parts (a) through (d) below. (a) Find the estimates of Beta 0 and Beta 1. (b) Compute the standard error, the point estimate for sigma. S c = (c) Assuming the residuals are normally distributed, determine Sb 1 = (d) Assuming the residuals are normally distributed, test H0: Beta 1 = 0 versus H1: Beta 1 not equal to at the alpha = 0.05 level of significance. Use the P-value approach. The P-value for this test is []. Make a statement regarding the null hypothesis and draw a conclusion for this test. Choose the correct answer below. A. Reject H0. There is not sufficient evidence at the alpha = 0.05 level of significance to conclude that a linear relation exists between x and y. B. Do not reject H0. There is not sufficient evidence at the alpha = 0.05 level of significance to conclude that a linear relation exists between x and y. C. Reject H0. There is sufficient evidence at the alpha = 0.05 level of significance to conclude that a linear relation exists between x and y. D. Do not reject H0. There is sufficient evidence at the alpha = 0.05 level of significance to conclude that a linear relation exists between x and y.

Explanation / Answer

(a) bo=-0.744

b1=1.767

---------------------------------------------------------------------------------------------------------------

(b) Se=0.5972

---------------------------------------------------------------------------------------------------------------
(c)Sb1=0.1440

---------------------------------------------------------------------------------------------------------------

(d) the p-value= 0.001

C

Regression output confidence interval variables coefficients std. error    t (df=3) p-value 95% lower 95% upper Intercept -0.7442 0.8221 -0.905 .4321 -3.3605 1.8721 x 1.7674 0.1440 12.275 .0012 1.3092 2.2257

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---