Question

For the data set shown​ below, complete parts​ (a) through​ (d) below. x 3 4 5 7 8 y 4 7 8 12 14 ​(a)  Find the estimates of beta 0 and beta 1. beta 0almost equalsb 0equals nothing ​(Round to three decimal places as​ needed.) beta 1almost equalsb 1equals nothing ​(Round to three decimal places as​ needed.) ​(b)  Compute the standard​ error, the point estimate for sigma. s Subscript eequals nothing ​(Round to four decimal places as​ needed.) ​(c)  Assuming the residuals are normally​ distributed, determine s Subscript b 1 Baseline . s Subscript b 1equals nothing ​(Round to three decimal places as​ needed.) ​(d)  Assuming the residuals are normally​ distributed, test Upper H 0 : beta 1 equals 0 versus Upper H 1 : beta 1 not equals 0 at the alpha equals 0.05 level of significance. Use the​ P-value approach. The​ P-value for this test is nothing. ​(Round to three decimal places as​ needed.) Make a statement regarding the null hypothesis and draw a conclusion for this test. Choose the correct answer below. A. Do not reject Upper H 0. There is not sufficient evidence at the alpha equals 0.05 level of significance to conclude that a linear relation exists between x and y. B. Do not reject Upper H 0. There is sufficient evidence at the alpha equals 0.05 level of significance to conclude that a linear relation exists between x and y. C. Reject Upper H 0. There is not sufficient evidence at the alpha equals 0.05 level of significance to conclude that a linear relation exists between x and y. D. Reject Upper H 0. There is sufficient evidence at the alpha equals 0.05 level of significance to conclude that a linear relation exists between x and y. Click to select your answer(s).

x   y
3   4
4   7
5   8
7   12
8   14

Answer 1