Scatter Plots & Interpreting Linear Models

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.

Front

What does the line of best fit represent in a scatter plot?

Back

The line of best fit is a straight line that best represents the data on a scatter plot, indicating the trend of the data points.

Front

How do you determine the line of best fit?

Back

The line of best fit can be determined using methods such as least squares regression, which minimizes the distance between the data points and the line.

Front

What does a positive correlation in a scatter plot indicate?

Back

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

Front

What does a negative correlation in a scatter plot indicate?

Back

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

Front

What is the equation of a linear model?

Back

The equation of a linear model is typically written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear equation?

Back

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

Front

What is the y-intercept in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0, representing where the line crosses the y-axis.

Front

How can you use a linear model to make predictions?

Back

You can use a linear model to make predictions by substituting a value for x into the equation to find the corresponding value of y.

Front

What is the significance of outliers in a scatter plot?

Back

Outliers are data points that differ significantly from other observations and can affect the line of best fit and the overall analysis.