NC Math I EOC Review

Front

What is the definition of standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

How do you find the mean of a data set?

Back

To find the mean, add all the numbers in the data set together and then divide by the number of values in the set.

Front

What does a correlation coefficient of 0.85 indicate?

Back

A correlation coefficient of 0.85 indicates a strong positive relationship between two variables, meaning that as one variable increases, the other variable tends to also increase.

Front

Back

The positive zero of the function is 11, as it is the value of x that makes the function equal to zero.

Front

What is the formula for finding the slope of a line?

Back

The slope (m) of a line is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What is the difference between a linear function and a quadratic function?

Back

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you interpret the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola. The vertex represents the maximum or minimum point, and the direction of the opening (upward or downward) indicates whether the function has a maximum or minimum value.

Front

What is a linear best-fit model?

Back

A linear best-fit model is a straight line that best represents the data on a scatter plot, minimizing the distance between the line and all the data points.