Linear Regression Review

Front

What does the correlation coefficient measure?

Back

The strength of the linear relationship between two quantitative variables.

Tags

CCSS.HSF-LE.A.1B

Front

Which statements are TRUE regarding correlation and residuals? I. Random scatter in the residuals indicates a linear model. II. If two variables are very strongly associated, then the correlation between them will be near 1 or -1. III. Changing the units of measurement for x or y changes the correlation coefficient.

Back

I and II only.

Tags

CCSS.HSS.ID.B.6B

Front

What should a residual plot look like for a good linear model?

Back

Random with no pattern.

Tags

CCSS.HSS.ID.B.6B

Front

Interpret the slope of the Least Squares Line Equation: If the slope is $31.45, what does it mean?

Back

For each additional hour, income is predicted to increase by $31.45.

Tags

CCSS.8.EE.C.7B

Front

Describe the correlation in a graph that shows a downward trend with points closely clustered along a line.

Back

Strong Negative Linear.

Tags

CCSS.HSF-LE.A.1B

Front

What is linear regression?

Back

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

Front

What is the purpose of a residual plot?

Back

To assess the fit of a linear regression model by showing the residuals on the vertical axis and the independent variable on the horizontal axis.

Front

What does a positive correlation indicate?

Back

As one variable increases, the other variable also tends to increase.

Tags

CCSS.HSS.ID.B.5

Front

What does a negative correlation indicate?

Back

As one variable increases, the other variable tends to decrease.

Tags

CCSS.HSS.ID.B.5

Front

What is the least squares method?

Back

A statistical technique used to determine the best-fitting line by minimizing the sum of the squares of the residuals.