12/5 & 12/6 DCP #2 Review

Front

What is correlation in data analysis?

Back

Correlation measures the strength and direction of a linear relationship between two variables. It can be positive, negative, or zero.

Front

What does a weak negative correlation indicate?

Back

A weak negative correlation indicates that as one variable increases, the other variable tends to decrease slightly, but the relationship is not strong.

Front

What does it mean for y to vary directly as x?

Back

It means that y is proportional to x, or y = kx, where k is a constant.

Front

If x = 27 when y = 6, what is the constant of variation (k)?

Back

k = y/x = 6/27 = 2/9.

Front

How do you find the value of x when y = 2, given y varies directly as x?

Back

Use the constant of variation: y = kx. So, 2 = (2/9)x, which gives x = 9.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other.

Front

If 4 apples cost $0.45, what is the cost of 1 apple?

Back

Cost of 1 apple = $0.45 / 4 = $0.1125.

Front

How do you find the cost of 12 apples if 1 apple costs $0.1125?

Back

Cost of 12 apples = 12 * $0.1125 = $1.35.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

What is the slope of the line y = 3/2x + 6?

Back

The slope is 3/2.