Unit 4.D CW: Scatterplots and Line of Best Fit

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 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 from its equation?

Back

The slope is the coefficient of x in the equation of the line, indicating how much y changes for a unit change in x.

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 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 the context of scatter plots?

Back

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

Front

How can you use a trend line to make predictions?

Back

You can use a trend line to predict values by finding the corresponding y value for a given x value along the line.

Front

What is the purpose of the line of best fit?

Back

The purpose of the line of best fit is to summarize the relationship between the variables and to make predictions based on that relationship.

Front

How do you find the y-intercept from a linear equation?

Back

The y-intercept is the value of y when x is 0, which is represented by the constant term in the equation.