3-2 Mid-Chapter Flashcard A

Front

What does the slope in a regression equation represent?

Back

The slope represents the rate of change of the dependent variable (y) for each unit change in the independent variable (x).

Front

In the regression equation y-hat=74 + 0.136x, what does the value 74 represent?

Back

The value 74 represents the y-intercept, which is the predicted value of y when x is 0.

Front

How do you interpret the slope of 0.136 in the context of the regression equation for plane ticket costs?

Back

The slope of 0.136 indicates that for each additional mile flown, the cost of the plane ticket increases by $0.136.

Front

What is a regression equation used for?

Back

A regression equation is used to predict the value of a dependent variable based on the value(s) of one or more independent variables.

Front

What is the dependent variable in the regression equation y-hat=74 + 0.136x?

Back

The dependent variable is the cost of the plane ticket (y-hat).

Front

What is the independent variable in the regression equation y-hat=74 + 0.136x?

Back

The independent variable is the flight distance (x).

Front

What does it mean if the slope of a regression line is positive?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What is the purpose of interpreting the slope in a regression analysis?

Back

Interpreting the slope helps to understand the relationship between the independent and dependent variables in practical terms.

Front

What is the significance of the y-intercept in a regression equation?

Back

The y-intercept indicates the expected value of the dependent variable when all independent variables are zero.

Front

How can you determine the impact of flight distance on ticket cost using the regression equation?

Back

By substituting different values of flight distance (x) into the equation, you can calculate the corresponding ticket costs (y-hat).