Scatter Plots and Trend Lines

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 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 does 'no correlation' mean in a scatter plot?

Back

No correlation means there is no apparent relationship between the two variables; the data points do not show any trend.

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, showing the general direction of the data.

Front

How can you estimate values using a line of best fit?

Back

You can estimate values by finding the corresponding y-value on the line of best fit for a given x-value.

Front

What does the slope of a line represent in a scatter plot?

Back

The slope of a line represents the rate of change between the two variables; it indicates how much one variable changes for a unit change in the other variable.

Front

If the slope is -5/7, what does it mean?

Back

It means that for every 7 units increase in the x-variable, the y-variable decreases by 5 units.

Front

What is the y-intercept in a scatter plot?

Back

The y-intercept is the point where the line of best fit crosses the y-axis, representing the value of y when x is zero.

Front

How do you determine the strength of a correlation in a scatter plot?

Back

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