8.5(d) Scatter Plot Trend Line Predictions

Front

What is a trend line in a scatter plot?

Back

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

Front

How do you use a trend line to make predictions?

Back

You can use a trend line to estimate values by finding where the trend line intersects with a given x-value.

Front

What does it mean if a trend line slopes upwards?

Back

An upward slope indicates a positive correlation, meaning as one variable increases, the other variable tends to increase as well.

Front

What does it mean if a trend line slopes downwards?

Back

A downward slope indicates a negative correlation, meaning as one variable increases, the other variable tends to decrease.

Front

What is the purpose of creating a trend line?

Back

The purpose of creating a trend line is to summarize the relationship between two variables and to make predictions based on that relationship.

Front

How can you determine the strength of a correlation from a scatter plot?

Back

The strength of a correlation can be determined by how closely the data points cluster around the trend line; tighter clusters indicate a stronger correlation.

Front

What is interpolation in the context of trend lines?

Back

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

Front

What is extrapolation in the context of trend lines?

Back

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

Front

If a trend line intersects the y-axis at 50, what does this indicate?

Back

This indicates that when the x-value is 0, the predicted y-value is 50.

Front

What is the significance of the slope of a trend line?

Back

The slope of a trend line indicates the rate of change between the two variables; a steeper slope means a greater rate of change.