8.5(d) Scatter Plot Trend Line Predictions

Front

What is a scatter plot?

Back

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

Front

What does a trend line represent in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, indicating the general direction of the data.

Front

How can you use a trend line to make predictions?

Back

You can extend the trend line to estimate values for variables not directly measured in the data set.

Front

What is the purpose of predicting values using a scatter plot?

Back

The purpose is to estimate unknown values based on the observed relationship between the variables.

Front

If a trend line indicates a positive correlation, what does that mean?

Back

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

Front

If a trend line indicates a negative correlation, what does that mean?

Back

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

Front

What is interpolation in the context of scatter plots?

Back

Interpolation is estimating a value within the range of the data points using the trend line.

Front

What is extrapolation in the context of scatter plots?

Back

Extrapolation is estimating a value outside the range of the data points using the trend line.

Front

How do you determine the slope of a trend line?

Back

The slope of a trend line is determined by the change in the y-values divided by the change in the x-values between two points on the line.

Front

What is the formula for calculating the slope (m) of a line?

Back

The formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.