Scatter Plots and Regression

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Tags

CCSS.8.SP.A.1

Front

What does a strong positive correlation indicate in a scatter plot?

Back

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

Tags

CCSS.HSS.ID.B.5

Front

What is the purpose of linear regression?

Back

Linear regression is used to model the relationship between two variables by fitting a linear equation to the observed data.

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all data points.

Tags

CCSS.8.EE.B.5

Front

What is the range of correlation coefficients?

Back

Correlation coefficients range from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

Tags

CCSS.HSS.ID.B.5

Front

How do you interpret a correlation coefficient of 0.85?

Back

A correlation coefficient of 0.85 indicates a strong positive correlation between the two variables.

Tags

CCSS.HSS.ID.B.5

Front

What does it mean if a scatter plot shows no correlation?

Back

If a scatter plot shows no correlation, it means there is no discernible relationship between the two variables.

Tags

CCSS.HSF-LE.A.1B

Front

What is the formula for a linear regression line?

Back

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in a linear regression equation?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a weak negative correlation indicate?

Back

A weak negative correlation indicates that as one variable increases, the other variable tends to decrease, but the relationship is not strong.

Tags

CCSS.HSS.ID.B.5