Regression Analysis Review

Front

What is the response variable in a study predicting crop yield based on fertilizer application?

Back

The response variable is the yield of the crop.

Tags

CCSS.HSS.ID.B.6B

Front

What is the Least Squares Regression Line (LSRL) for the given data: y= 53.519 - 1.766x; r=-0.949?

Back

The LSRL is y= 53.519 - 1.766x and the correlation coefficient is r=-0.949.

Tags

CCSS.8.EE.C.8C

Front

Based on a scatter plot, if Eric earns $10 by clearing 6 tables, what does this indicate?

Back

It indicates the predicted earnings based on the relationship shown in the scatter plot.

Tags

CCSS.HSF.IF.A.2

Front

What is an influential point in regression analysis?

Back

An influential point is one that, if removed, would significantly change the equation of the least-squares regression line.

Front

What does the y-intercept represent in a regression analysis of basketball points scored?

Back

The y-intercept represents the number of points scored after zero minutes of playing time.

Tags

CCSS.HSF.LE.B.5

Front

Define regression analysis.

Back

Regression analysis is a statistical method used to determine the relationship between a dependent variable and one or more independent variables.

Front

What is the purpose of the correlation coefficient in regression analysis?

Back

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

Tags

CCSS.HSS.ID.C.8

Front

What does a negative correlation coefficient indicate?

Back

A negative correlation coefficient indicates an inverse relationship between the two variables; as one increases, the other decreases.

Tags

CCSS.HSS.ID.B.5

Front

What is the formula for the Least Squares Regression Line (LSRL)?

Back

The formula for LSRL is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.5

Front

What is a residual in regression analysis?

Back

A residual is the difference between the observed value and the predicted value from the regression line.

Tags

CCSS.HSS.ID.B.6B