Flashcard 5 (parallel,perpendicular,correlation,direct variation)

Front

What is correlation?

Back

Correlation refers to a statistical relationship between two variables, indicating how one may change in relation to the other. It does not imply causation.

Front

What is a perfect negative correlation coefficient?

Back

A perfect negative correlation has a correlation coefficient of -1.

Front

How is direct variation defined?

Back

Direct variation describes a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is a non-zero constant.

Front

If y varies directly with x and y = 39 when x = 3, what is the constant of variation (k)?

Back

The constant of variation k is 13, calculated as k = y/x = 39/3.

Front

If y = 2x, what is the value of y when x = 5?

Back

y = 10 when x = 5.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

If the temperature outside increases, what can be inferred about the number of people at the beach?

Back

There is a positive correlation; as temperature increases, the number of people at the beach tends to increase.

Front

What is the equation representing direct variation if y = 16 when x = 32?

Back

The equation is y = 0.5x.

Front

If y = 39 when x = 3, what is the value of y when x = 2 in direct variation?

Back

y = 26 when x = 2.