Question

Consider the scatterplot above. Write a sentence explaining the meaning of the value of the slope for this linear model. The is an average of per year .

Answer 1

Slope: The percent that voted falls by 0.1271 units per year.

Explanation:

The slope of a regression line represent the average rate of change in the dependent variable (y) based upon the changes in the independent variable (x).

In this case the regression equation provided is:

y = -0.1271 x + 307.53

The slope of the line is -0.1271.

The dependent variable is the percent that voted and the independent variable is the year.

The slope of -0.1271 indicates that every year, on average, the percent that voted decreases by 0.1271 units.

Or the percent that voted falls by 0.1271 units per year.