Question

1. the residual plots from two different sets of bivariate data are graphed below. explain, using evidence from graph a and graph b, which graph indicates that the least - squared regression model for the data is appropriate.

Explanation:

A good residual plot for a least - squared regression model should have residuals randomly scattered around the \(y = 0\) line. In Graph A, the residuals are randomly distributed. There is no clear pattern (such as a curve, funnel - shape, or any non - random clustering). In Graph B, there is a pattern in the residuals (they seem to form a curve - like shape). A non - random pattern in the residual plot indicates that the linear least - squared regression model is not appropriate as it suggests that the relationship between the variables is not well - captured by a linear model.

Answer:

Graph A indicates that the least - squared regression model for the data is appropriate.