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Given the simple regression model Y= βo+ β1X and the regression results that follow, test the...

Given the simple regression model Y= βo+ β1X and the regression results that follow, test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to 0.10 , and determine the two-sided 95% and 99% confidence intervals.

a. A random sample of size = 36 with b1 = 7 and sb1 =1.7

b. A random sample of size n = 50 with b1= 7.3and sb1= 1.7

c. A random sample of size n = 36 with b1= 5.1 and sb1= 0.88

d. A random sample of size n= 25 with b1=9.4 and sb1= 0.8

a. Test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to 0.10

Reject or do not reject ??? H0. There is sufficient or insufficient ? evidence that the slope coefficient is greater than zero.

Determine the two-sided 95% confidence interval.

(_________, _________)

(Round to two decimal places as needed.)

Determine the two-sided 99% confidence interval.

(______,_______)

(Round to two decimal places as needed.)

b. Test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to 0.10

Do not reject or Reject ??? H0. There is insufficient or sufficient ???? evidence that the slope coefficient is greater than zero.

Determine the two-sided 95% confidence interval.

(_______,_______)

(Round to two decimal places as needed.)

Determine the two-sided 99%

confidence interval.

(_____,_______)

(Round to two decimal places as needed.)

c. Test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to 0.10.

Reject or Do not reject ????? H0. There is sufficient or insufficient ???? evidence that the slope coefficient is greater than zero.

Determine the two-sided 95% confidence interval.

(______,_______)

(Round to two decimal places as needed.)

Determine the two-sided 99% confidence interval.

(_____,______)

(Round to two decimal places as needed.)

d. Test the null hypothesis that the slope coefficient is 0 versus the alternative hypothesis of greater than zero using probability of Type I error equal to 0.10

Reject or Do not reject ???? H0. There is insufficient or sufficient ???? evidence that the slope coefficient is greater than zero.

Determine the two-sided 95% confidence interval.

(______,______)

(Round to two decimal places as needed.)

Determine the two-sided 99% confidence interval.

(______,_____)

(Round to two decimal places as needed.)

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orchestra answered 1 year ago

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