For the data set shown below complete parts a through below

For the data set shown below, complete parts (a) through () below. (a) Find the estimates of and . (b) Compute the standard error, the point estimate fore. (c) Assuming the residuals are normally distributed, determine (d) Assuming the residuals are normally distributed, test H:p, :0 versus at the: the 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 sufficient evidence at the :0.05 level of significance to conclude that a linear relation exists between x and y. B. Reject H0. There is not sufficient evidence at the a :0.05 level of significance to conclude that a linear relation exists between x and y. C. Do not reject H0. There is not sufficient evidence at the: 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 : 0.05 level of significance to conclude that a linear relation exists between x and y.

Solution

(a) b0=-2.640

b1=2.0814

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(b) Se= 0.4782

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(c)Sb1= 0.1153

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(d) The p-value= 0.000

Answer: A

Regression output				confidence interval
variables	coefficients	std. error	t (df=3)	p-value	95% lower	95% upper
Intercept	-2.6395	0.6584	-4.009	.0278	-4.7347	-0.5444
x	2.0814	0.1153	18.051	.0004	1.7144	2.4484