Trend Lines and Equations

Front

What is a trend line?

Back

A trend line is a straight line that best represents the data on a scatter plot, showing the general direction of the data points.

Front

How do you find the slope of a trend line using ordered pairs?

Back

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

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What is slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations, often lying outside the overall pattern of the data.

Front

What is the correlation between study time and test grades likely to be?

Back

The correlation is likely to be positive, meaning that as study time increases, test grades tend to increase.

Front

What does the term 'correlation coefficient' refer to?

Back

The correlation coefficient is a numerical measure of the strength and direction of a relationship between two variables, ranging from -1 to 1.

Front

What does it mean if there is no correlation between two variables?

Back

No correlation means that there is no predictable relationship between the two variables; changes in one do not affect the other.

Front

How can you identify a linear model from a scatter plot?

Back

A linear model can be identified if the data points roughly form a straight line.

Front

What is the y-intercept in a linear equation?

Back

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