Review First Semester Exam Part I

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is the rate of change of y with respect to x, often represented as 'm' in the equation y = mx + b.

Front

How do you calculate 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 negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0.

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.

Front

What is the significance of causation in statistics?

Back

Causation indicates that one event is the result of the occurrence of another event, implying a direct relationship.

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 do you evaluate a function at a specific value?

Back

To evaluate a function f(x) at a specific value x = a, substitute 'a' into the function and simplify.