Final answer:
The 95% confidence interval for the slope of the regression line can be calculated using the t-distribution. Please provide the data pairs to calculate the standard error and find the confidence interval.
Step-by-step explanation:
The 95% confidence interval for the slope of the regression line, based on 15 data pairs, can be calculated using the t-distribution. The formula for the confidence interval is:
Slope ± (t-value × standard error of the slope)
In this case, since the number of data pairs is small (15), we use the t-distribution instead of the z-distribution. The t-value for a 95% confidence interval with 13 degrees of freedom (15 - 2) is approximately 2.16. The standard error of the slope can be calculated as:
Standard Error = (Standard Deviation of Y / Standard Deviation of X) × (1 / √n)
Given that you have provided the data pairs, we can calculate the standard error and then use it to find the confidence interval for the slope. Please provide the values for X and Y.