Final answer:
Without the actual scatterplot data, it is impossible to determine which pair of points the line of best fit passes through. The line of best fit minimizes the residual distances between the line and the points and is typically found using statistical methods like least-squares regression.
Step-by-step explanation:
To determine which pair of points the line of best fit for a scatterplot passes through, we must first look at the given points p, q, r, s, and t. If those points represent coordinates on a scatterplot, the line of best fit would typically be the one that minimizes the sum of the squares of the vertical distances (residuals) between the line and each point on the scatterplot.
Without the actual scatterplot or data points, we cannot precisely say which pair of points the line would pass through. However, finding the line of best fit usually involves using statistical methods such as least-squares regression, which can be done by hand or more commonly with the help of software or a calculator.
If the question pertains to a dataset where the least-squares line has been calculated, it would then be a matter of checking which pair of points form a line that is closest to all other points in the scatterplot. The line is a good fit if it appears to follow the overall trend of the data. To identify outliers, we would look for points that deviate significantly from this trend.