NC Math 1 EOC Review Part 3

Front

What is a linear regression equation?

Back

A linear regression equation is a mathematical representation of the relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you estimate future values using a linear regression equation?

Back

To estimate future values, substitute the desired x-value (representing time or another independent variable) into the linear regression equation to find the corresponding y-value.

Front

What does it mean if data is skewed left?

Back

Data is skewed left when the tail on the left side of the distribution is longer or fatter than the right side, indicating that most values are concentrated on the right.

Front

What does it mean if data is skewed right?

Back

Data is skewed right when the tail on the right side of the distribution is longer or fatter than the left side, indicating that most values are concentrated on the left.

Front

What is a correlation coefficient?

Back

A correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables, ranging from -1 (perfect negative correlation) to 1 (perfect positive correlation).

Front

What does a correlation coefficient of r=1 indicate?

Back

A correlation coefficient of r=1 indicates a perfect positive linear relationship between two variables, meaning as one variable increases, the other variable also increases proportionally.

Front

How do you find the midpoint of a line segment given its endpoints?

Back

To find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2), use the formula: Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

What is the formula for calculating 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 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 is 0.

Front

What does it mean for data to be symmetrical?

Back

Data is symmetrical when it is evenly distributed around a central point, meaning the left and right sides of the distribution are mirror images of each other.