Unit 3 Fix It

Front

What is a linear regression equation?

Back

A linear regression equation is a mathematical formula that describes the relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you predict values using a linear regression equation?

Back

To predict values, substitute the known value of x into the linear regression equation and solve for y.

Front

What does the slope in a linear regression equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is the y-intercept in a linear regression equation?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How can you use a linear equation to make predictions?

Back

By substituting the value of the independent variable into the equation, you can calculate the expected value of the dependent variable.

Front

What is the significance of the equation y = 3.14x + 3.52 in predicting chess match wins?

Back

This equation indicates that for every additional hour of practice (x), the team is expected to win approximately 3.14 more matches, plus a base of 3.52 matches.

Front

If a team practices for 4.5 hours, how do you calculate the expected wins using the equation y = 3.14x + 3.52?

Back

Substitute x = 4.5 into the equation: y = 3.14(4.5) + 3.52 = about 18.

Front

What is the purpose of using equations to predict retail store numbers?

Back

Equations help estimate future values based on trends observed in historical data.

Front

How do you determine the year based on the number of retail stores using an equation?

Back

You can rearrange the equation to solve for the year when given the number of stores.

Front

What does the equation y = 8x + 3 represent in terms of batting practice?

Back

This equation predicts the number of home runs (y) based on the hours of batting practice (x) the players have completed.