Question

explain what each point on the least - squares regression line represents
choose the correct answer below
a. each point on the least - squares regression line represents the y - values that would be considered ideal at that corresponding value of x.
b. each point on the least - squares regression line represents one of the points in the data set
c. each point on the least - squares regression line represents the y - value of the data set at that corresponding value of x.
d. each point on the least - squares regression line represents the predicted y - value at the corresponding value of x.

Explanation:

The least - squares regression line is used to predict the value of \(y\) for a given \(x\). It is not the actual data points (so B and C are incorrect). It is also not about "ideal" values (so A is incorrect). The regression line gives the predicted \(y\) - value for a corresponding \(x\) - value.

Answer:

D. Each point on the least - squares regression line represents the predicted y - value at the corresponding value of x.