Section 4.2 Homework

1.   If the linear correlation between two variables is​ negative, what can be said about the slope of the regression​ line?  Choose the correct answer below.

1. Positive
2. More information is needed
3. Negative

2.   Is the statement below true or​ false? The​ least-squares regression line always travels through the point (x,y).

Choose the correct answer below.

1. True
2. False

3.  Explain what each point on the​ least-squares regression line represents.  Choose the correct answer below.

1. Each point on the​ least-squares regression line represents the predicted​ y-value at the corresponding value of x.
2. Each point on the​ least-squares regression line represents one of the points in the data set.
3. Each point on the​ least-squares regression line represents the​ y-values that would be considered ideal at that corresponding value of x.
4. Each point on the​ least-squares regression line represents the​ y-value of the data set at that corresponding value of x.