Lines of Best Fit

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 trend of the data points.

Front

Why is a line not considered a line of best fit if it does not pass through the middle of the data set?

Back

Because a line of best fit should minimize the distance from all data points, ideally balancing the points above and below the line.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6

Front

How can you determine the number of laps a bicycle can make around a park in a given time using a trend line?

Back

You can substitute the time into the equation of the trend line to find the corresponding number of laps.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between the two variables being analyzed.

Front

What is the y-intercept in the equation y = 1/2x + 1?

Back

The y-intercept is 1, which is the value of y when x = 0.

Front

How do you use a trend line to make predictions?

Back

You can use the equation of the trend line to input a value of x and solve for y, predicting the outcome.

Front

What does a scatter plot show?

Back

A scatter plot shows the relationship between two variables, with points representing individual data values.

Front

If a scatter plot shows a positive correlation, what does that mean?

Back

It means that as one variable increases, the other variable also tends to increase.