Final answer:
The regression equation mentioned in the materials was created using 11 different data points. The sample size is indicated by n = 11 for the regression line equation given.
Step-by-step explanation:
To determine how many data points were used to create a regression equation, you would typically look for information provided about the sample size, denoted as n. In your given materials, the regression line Ŷ = -173.51 + 4.83x, with a correlation coefficient r = 0.6631, specifically mentions that there are n = 11 data points. This means that the regression equation was created using 11 different pairs of x (independent variable) and y (dependent variable) values. These values are plotted on a scatter plot to visualize the correlation and to derive the best-fit line, commonly utilizing the least-squares method to minimize the sum of squared residuals or errors. The computation of the regression line can change when an outlier is removed, as seen in your example that computes a new best-fit line with 10 remaining points, indicating that previously there were 11 data points before the outlier was excluded.