Question

Give a linear regression model for a real world context and data set, and then interpret the real-life meaning of the parameters for slope and vertical intercept in the example you choose. Be sure to define the two variables you chose in your answer.

Answer 1

The slope of a linear regression line represents the rate of change between the variables, while the y-intercept is the predicted value when the independent variable is zero.

Step-by-step explanation:

Slope: The slope of a linear regression line represents the rate of change between the independent and dependent variables. It tells us how much the dependent variable changes for every one-unit increase in the independent variable. For example, if the slope is 3, it means that for each unit increase in the independent variable, the dependent variable increases by 3 units.

Y-intercept: The y-intercept is the point where the regression line crosses the y-axis. It represents the predicted value of the dependent variable when the independent variable is zero. In practical terms, it tells us what the dependent variable would be before any independent variable influence is considered.