A.ST.1d: Scatter plot and relations between variables-Part 1

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 represents the trend in the data, showing the general direction that the data points follow.

Front

How do you determine the slope of a line in a scatter plot?

Back

The slope of a line in a scatter plot is determined by the change in the y-values divided by the change in the x-values (rise over run).

Front

What does a positive slope indicate in a scatter plot?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate in a scatter plot?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0; it is the point where the line crosses the y-axis.

Front

How can you use a scatter plot to make predictions?

Back

You can use a scatter plot to make predictions by extending the line of best fit to estimate values for variables not directly measured.

Front

What does it mean if data points are closely clustered around the line of best fit?

Back

If data points are closely clustered around the line of best fit, it indicates a strong correlation between the two variables.

Front

What does it mean if data points are widely scattered around the line of best fit?

Back

If data points are widely scattered around the line of best fit, it indicates a weak correlation between the two variables.