Alg 2 Test Review

Front

What is the linear regression equation for a set of data?

Back

A linear regression equation is a mathematical representation of the relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you interpret the slope in a linear equation?

Back

The slope (m) indicates the rate of change of the dependent variable (y) with respect to the independent variable (x). A positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the value of y when x is 0. It represents the point where the line crosses the y-axis.

Front

How can you determine the x-intercept of a linear equation?

Back

To find the x-intercept, set y to 0 in the equation and solve for x. The x-intercept is the point where the line crosses the x-axis.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope, meaning they rise and run at the same rate and will never intersect.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does a scatter plot represent?

Back

A scatter plot is a graphical representation of two variables, showing how much one variable is affected by another. It helps to identify trends or correlations.

Front

What does it mean if a scatter plot shows a positive correlation?

Back

A positive correlation means that as one variable increases, the other variable also tends to increase.

Front

What is the significance of the equation y = mx + b in linear functions?

Back

This equation represents a linear function where m is the slope and b is the y-intercept, defining a straight line on a graph.

Front

How do you find the slope of a line given its equation in standard form (Ax + By = C)?

Back

To find the slope, rearrange the equation into slope-intercept form (y = mx + b) and identify the coefficient of x as the slope.