Algebra 1 Linear Regression Practice

Front

What does the slope mean in the context of linear regression?

Back

The slope indicates the rate of change; for every year passed, your typing speed decreases by 1.4 words per minute.

Front

How do you use the linear regression equation y = 61.93x - 1.79 to predict distance traveled?

Back

To predict distance, substitute x with the number of hours. For 10 hours: y = 61.93(10) - 1.79 = 617.5 miles.

Front

What does a correlation coefficient of 0.92 indicate?

Back

There is a strong positive correlation between studying and grades.

Front

What does the y-intercept represent in the equation y = 40x + 100?

Back

The y-intercept represents the predicted weight of the rat at birth.

Front

What does the line of best fit indicate in a scatter plot of books read vs. final grades?

Back

The more books students read, the higher their English grade.

Front

Define linear regression.

Back

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables.

Front

What is the purpose of the correlation coefficient in statistics?

Back

The correlation coefficient measures the strength and direction of a linear relationship between two variables.

Front

Explain the significance of the y-intercept in a linear equation.

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

What does a negative slope indicate in a linear regression model?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

How can you interpret a positive correlation?

Back

A positive correlation means that as one variable increases, the other variable also tends to increase.