Algebra 1A Semester Review Part 2

Front

What is a negative correlation?

Back

A negative correlation indicates that as one variable increases, the other variable decreases. For example, the relationship between the amount of time spent studying and the number of errors made on a test.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It indicates how much y changes for a unit change in x.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases. This means the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases. This means the line falls from left to right.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the change in x is zero, making the slope calculation (rise/run) impossible.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where the y-value remains constant as the x-value changes.

Front

How do you determine the slope from an equation in slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope. For example, in y = 2x + 3, the slope is 2.

Front

What is the correlation coefficient?

Back

The correlation coefficient is a numerical measure of the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does a correlation coefficient of -1 indicate?

Back

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other decreases in a perfectly linear manner.

Front

What does a correlation coefficient of 1 indicate?

Back

A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other also increases in a perfectly linear manner.