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 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, indicating the general direction of the data.

Front

How do you interpret a trend line?

Back

You interpret a trend line by observing its slope and position, which can help predict values of one variable based on the other.

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 also tends to increase.

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

How can you use a trend line to make predictions?

Back

You can use a trend line to estimate the value of one variable based on the value of another by finding the corresponding point on the line.

Front

What is interpolation in the context of scatter plots?

Back

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

Front

What is the importance of the correlation coefficient?

Back

The correlation coefficient measures the strength and direction of a linear relationship between two variables, helping to assess how well the trend line fits the data.

Front

What does a correlation coefficient of 1 indicate?

Back

A correlation coefficient of 1 indicates a perfect positive linear relationship between the two variables.