Modeling Data

Front

What is indirect variation?

Back

Indirect variation occurs when one variable increases while the other decreases, represented by the equation y = k/x, where k is a constant.

Front

What is the exponential model for radioactive decay?

Back

The exponential model for radioactive decay can be expressed as y = a(b)^x, where a is the initial amount, b is the decay factor, and x is time.

Front

What does a correlation coefficient of r = 0.90 indicate?

Back

A correlation coefficient of r = 0.90 indicates a strong positive correlation between the two variables.

Front

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

Back

A correlation coefficient close to 1 or -1 indicates a strong correlation, around 0.5 indicates moderate, and close to 0 indicates weak.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is a constant.

Front

What is a piecewise function?

Back

A piecewise function is a function defined by multiple sub-functions, each applying to a certain interval of the main function's domain.

Front

What does the term 'decay factor' refer to in exponential decay?

Back

The decay factor is the base of the exponential function that represents the rate at which a quantity decreases over time.

Front

What is the significance of the constant 'k' in the equation y = k/x?

Back

In the equation y = k/x, 'k' is a constant that determines the relationship between x and y in indirect variation.

Front

How can you graph a piecewise function?

Back

To graph a piecewise function, plot each sub-function on its specified interval and ensure the transitions between intervals are clear.

Front

What does a negative correlation coefficient indicate?

Back

A negative correlation coefficient indicates that as one variable increases, the other variable tends to decrease.