Answer:
The 95% confidence interval for the true slope is (0.03985, 0.14206).
Step-by-step explanation:
For the regression equation:
The (1 - <em>α</em>)% confidence interval for the regression coefficient or slope is:
The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:
The summary of the regression analysis is:
Predictor Coefficient SE t-stat p-value
Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹
Entering GPA 0.090953 0.022162 4.103932 0.003419
The regression coefficient and standard error are:
The critical value of <em>t</em> for 95% confidence level and 8 degrees of freedom is:
Compute the 95% confidence interval for as follows:
Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).
