For the data set shown below complete parts a through d belo

For the data set shown below, complete parts (a through (d below. x 20 30 40 50 60 102 93 89 85 70 (a) Use technology to find the estimates of Bo and Bi. Bo bo (Round to two decimal places as needed.) BI bl (Round to two decimal places as needed.) (b) Use technology to compute the standard error, the point estimate for a (Round to four decimal places as needed.) (c) Assuming the residuals are normally distributed, use technology to determine sb Sb (Round to four decimal places as needed.) (d) Assuming the residuals are normally distributed, test Ho: BI 0 versus HI: 0 at the 0.05 level of significance. Use the P-value approach. Determine the P-value for this hypothesis test. P-value (Round to three decimal places as needed.) Which of the following conclusions is correct? OA. Do not reject Ho and conclude that a linear relation exists between x and y. OB. Reject Ho and conclude that a linear relation does not exist between x and y OC. Reject Ho and conclude that a linear relation exists between x and y. OD. Do not reject Ho and conclude that a linear relation does not exist between x and y.

Solution

(a) bo=116.60

b1=-0.72

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(b)Se=3.4833

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(c)Sb1=0.1102

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(d) p-value= 0.007

C. Reject Ho and conclude that a linear relation exists between x and y

Regression output				confidence interval
variables	coefficients	std. error	t (df=3)	p-value	95% lower	95% upper
Intercept	116.6000	4.6733	24.950	.0001	101.7274	131.4726
x	-0.7200	0.1102	-6.536	.0073	-1.0706	-0.3694