10.2 Practice (Trend Lines)

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, used to make predictions about future data points.

Front

How do you find the slope of a line using two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means an increase, while a negative slope means a decrease.

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

How do you determine if a line is a line of best fit?

Back

A line is a line of best fit if it minimizes the distance between itself and all the points in the data set, ideally passing through the center of the data.

Front

What is the purpose of a trend line in data analysis?

Back

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

Front

Given points (2, 2) and (4, 3), what is the slope?

Back

The slope is 1/2.

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.

Front

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

Back

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

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 is 0.