Bivariate data obtained for the paired variables are shown below, in the table labeled "Sample data." These data are plotted in the scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is Y = 15.61 + 0.89x. In the "Calculations" table, there are calculations involving the observed values, the mean of these values, and the values predicted from the regression equation.
Sample data:
x y -y y^2
108.2 110.8 1.2277 406.1031
118.2 127.7 47.4997 126.6075
133.0 123.7 105.6784 3.6864
141.9 145.3 11.5532 96.8453
151.5 152.8 5.5460 338.0082
Column sums:
171.5050 971.2505 1146.3320
Figure 1:
Scatter plot of the sample data with the least-squares regression line.