A linear regression between Y and X produced the following e

A linear regression between Y and X produced the following equation for the least squares line: Y= –4.3 + 2.1x. Which of the following statements concerning this relationship is true?

a. For every one-unit increase in X, Y increases 4.3 units.

b. For every one-unit increase in X, Y decreases 2.1 units.

c. For every one-unit increase in X, Y decreases 4.3 units.

d. For every one-unit increase in X, Y increases 2.1 units.

Solution

Slope = 2.1, which is positive. According to definition of slope,

d. For every one-unit increase in X, Y increases 2.1 units.