Assignment:
A computer analysis of 30 pairs of observations results in the least-squares regression equation y^ = 14.0 + 5.0x, and the standard deviation of the slope is listed as sb1 = 2.25.
a. At the 0.05 level of significance, can we conclude that no linear relationship exists within the population of x and y values?
b. Given the results in part (a), what conclusion would be reached if the same level of significance were used in testing whether the population coefficient of correlation could be zero?
c. Construct the 95% confidence interval for the population slope, β1.
Provide complete and step by step solution for the question and show calculations and use formulas.