For the data set shown below, complete parts (a) through (d) below. s_b_1 = (Rou

Question

For the data set shown below, complete parts (a) through (d) below. s_b_1 = (Round to three decimal places as needed.) (d) Assuming the residuals are normally distributed, test H_0: beta_1 = 0 versus H_1: beta_1 notequalto 0 at the alpha = 0.05 level of significance. Use the P-value approach. The P-value for this test is (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. Reject H_0. There is sufficient evidence at the alpha = 0.05 level of significance to conclude that a linear relation exists between x and y. B. Reject H_0. 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. Do not reject H_0. There s 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 H_0. There is not sufficient evidence at the alpha = 0 05 level of significance to conclude that a linear relation exists between x and y.

Explanation / Answer

sb1 = sqrt [ (yi - i)2 / (n - 2) ] / sqrt [ (xi - x)2 ]

here our i are 3.383459 ,3.943609, 4.503759, 7.304511 ,7.864662 .

putting the values sqrt( 61.49248/3)/sqrt(17.2)= 1.091657

DF = n - 2=3

t = b1 /  sb1 = 0.5602 /1.091657=0.5131648

t cut off =+/- 3.18244631

so, our value is with in the range. so, we dont reject Ho

our answer is c.

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