Common Assessment #4

Front

What does a strong positive linear association indicate about the correlation coefficient?

Back

A strong positive linear association indicates that as one variable increases, the other variable also increases, and the correlation coefficient is close to +1.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does a correlation coefficient of -0.21 represent?

Back

A correlation coefficient of -0.21 represents a weak negative relationship, indicating that as one variable increases, the other variable tends to decrease slightly.

Front

How can you determine the initial value of a function from a graph?

Back

The initial value of a function can be determined by finding the y-intercept, which is the value of the function when x = 0.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Front

What does it mean if a data set has a weak positive linear association?

Back

A weak positive linear association means that there is a slight tendency for one variable to increase as the other variable increases, but the relationship is not strong.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable; it shows how much y changes for a unit change in x.

Front

What is a scatter plot used for?

Back

A scatter plot is used to visually represent the relationship between two quantitative variables, helping to identify patterns, trends, or correlations.

Front

What does it mean for a correlation coefficient to be close to +1?

Back

A correlation coefficient close to +1 indicates a strong positive linear relationship between two variables.

Front

How do you eliminate a variable using the elimination method?

Back

To eliminate a variable, you can multiply one or both equations by a number so that the coefficients of one variable are opposites, then add or subtract the equations.