Line of Best Fit

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot. It shows the trend of the data points and can be used to make predictions.

Front

How do you calculate the line of best fit?

Back

The line of best fit can be calculated using the least squares method, which minimizes the sum of the squares of the vertical distances of the points from the line.

Front

What does the slope of the line of best fit represent?

Back

The slope of the line of best fit represents the rate of change between the two variables being compared. It indicates how much one variable changes for a unit change in the other variable.

Front

What does the y-intercept of the line of best fit represent?

Back

The y-intercept of the line of best fit is the value of y when x is zero. It represents the starting point of the relationship between the two variables.

Front

Given the equation y = 0.20x + 26, what is the slope?

Back

The slope is 0.20.

Front

Given the equation y = 0.20x + 26, what is the y-intercept?

Back

The y-intercept is 26.

Front

If a student's shoe size is 7, and the line of best fit predicts their height to be 59 inches, what does this imply?

Back

This implies that based on the data, a student with a shoe size of 7 is expected to be 59 inches tall.

Front

What is the purpose of using a line of best fit in data analysis?

Back

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

Front

What is the equation of the line of best fit for the data set: (1, 5), (2, 7), (3, 9)?

Back

The equation is y = 2x + 3.

Front

What does a positive slope indicate about the relationship between two variables?

Back

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