Algebra I IM Unit 3: Two-Variable Statistics Review

Front

What is the definition of 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.

Front

What does the slope (m) in the equation y=mx+b represent?

Back

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

Front

What is a correlation coefficient?

Back

The correlation coefficient is a numerical measure that indicates the strength and direction of a linear relationship between two variables.

Front

What does a positive correlation indicate in a scatter plot?

Back

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

Front

What does a negative correlation indicate in a scatter plot?

Back

A negative correlation indicates that as one variable increases, the other variable tends to decrease.

Front

What is a residual in statistics?

Back

A residual is the difference between the observed value and the predicted value in a regression analysis.

Front

How can you identify a strong correlation in a scatter plot?

Back

A strong correlation is identified by data points that closely follow a straight line pattern.

Front

What does it mean if the residual is negative?

Back

If the residual is negative, it means the observed value is lower than the predicted value.

Front

What is the y-intercept (b) in the equation y=mx+b?

Back

The y-intercept (b) is the value of y when x is zero; it represents the point where the line crosses the y-axis.

Front

What is the purpose of linear regression?

Back

The purpose of linear regression is to model the relationship between two variables by fitting a linear equation to observed data.