12. Regression

In linear regression using the least squares method, the least squares regression line minimizes the sum of the $e^2$, where $e$ represents the residuals (the differences between observed and predicted values).

In the linear regression equation $\mathrm{performance}=9.32+0.52\times \mathrm{aptitude score}$, what is the value of the slope?

In simple linear regression analysis, which of the following best describes the method of least squares?

In the context of linear regression using the least squares method, why is the graph shown considered a line of best fit?

In simple linear regression using the least squares method, which plot will produce a straight line if the model assumptions are satisfied?

Given a linear regression equation of the form $y=a+bx$ with $b=3$ and $a=-6$, what is the predicted value of $y$ when $x=4$?

In the context of linear regression using the least squares method, what does each point on the least-squares regression line represent?