DCP 2 REVIEW 24-25

Front

What does the slope in a linear regression equation represent?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In the equation y = 61.93x - 1.79, the slope of 61.93 indicates that for every hour of driving, the distance driven increases by 61.93 miles.

Front

How do you interpret a correlation coefficient of -0.26?

Back

A correlation coefficient of -0.26 indicates a weak negative correlation between the two variables, meaning as one variable increases, the other tends to decrease slightly.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For the graph shown, the domain is -2 ≤ x ≤ 4.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce. For the function {(0,1), (1,-3), (2,-4), (-4,1)}, the range is {-4, -3, 1}.

Front

What is causation in statistics?

Back

Causation indicates that one event is the result of the occurrence of another event. For example, time spent exercising directly affects the number of calories burned.

Front

What is a linear regression equation?

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

What does a positive slope indicate in a linear regression?

Back

A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases.

Front

What does a negative slope indicate in a linear regression?

Back

A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation indicates that one variable directly affects the other.

Front

How can you determine if a correlation is strong, moderate, or weak?

Back

A correlation is considered strong if it is close to 1 or -1, moderate if it is around 0.5 or -0.5, and weak if it is close to 0.