Final answer:
The 95% confidence interval for the correlation between high school GPA and college GPA is (0.198, 0.482).
Step-by-step explanation:
The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the correlation between high school GPA and college GPA is 0.34, which indicates a positive linear relationship. To calculate the 95% confidence interval for this correlation, we can use the formula:
CI = r ± (critical value) × SE
Since we're working with a 95% confidence level, the critical value is 1.96 (from the standard normal distribution table). Given that the standard error (SE) is 0.071247, we can plug in these values:
CI = 0.34 ± 1.96 × 0.071247
After performing the calculations, the 95% confidence interval for the correlation between high school GPA and college GPA is (0.198, 0.482).