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Given the simple regression model Y 0 1X And the

Given the simple regression model

Y = β0 + 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 0.05, and determine the two-sided 95% and 99% confidence intervals.

a. A random sample of size n = 38 with b1 = 5 sb1 = 2.1

b. A random sample of size n = 46 with b1 = 5.2 sb1 = 2.1

c. A random sample of size n = 38 with b1 = 2.7 sb1 = 1.87

d. A random sample of size n = 29 with b1 = 6.7 sb1 = 1.8

Y = β0 + 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 0.05, and determine the two-sided 95% and 99% confidence intervals.

a. A random sample of size n = 38 with b1 = 5 sb1 = 2.1

b. A random sample of size n = 46 with b1 = 5.2 sb1 = 2.1

c. A random sample of size n = 38 with b1 = 2.7 sb1 = 1.87

d. A random sample of size n = 29 with b1 = 6.7 sb1 = 1.8

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