Unit 6 Review

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables plotted on the graph. For example, a slope of 2.5 means that for every 1 unit increase in the x-variable, the y-variable increases by 2.5 units.

Front

What is a linear relationship in a scatterplot?

Back

A linear relationship in a scatterplot indicates that as one variable increases, the other variable also increases or decreases in a consistent manner, forming a straight line when graphed.

Front

What is a nonlinear relationship in a scatterplot?

Back

A nonlinear relationship in a scatterplot indicates that the relationship between the variables does not form a straight line, meaning the rate of change varies.

Front

How do you generate a table from a linear equation?

Back

To generate a table from a linear equation like y = 2x + 1, choose values for x, substitute them into the equation to find corresponding y values, and list the pairs.

Front

What does a graph of total pay versus hours worked represent?

Back

The graph represents a linear relationship where the slope indicates the hourly wage. For example, if the slope is $7.50, it means the person earns $7.50 for each hour worked.

Front

How can you estimate values from a scatterplot?

Back

You can estimate values from a scatterplot by finding the point that corresponds to the given x-value and reading the y-value from that point.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is 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 value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

What does it mean if a scatterplot shows a positive correlation?

Back

A positive correlation in a scatterplot means that as one variable increases, the other variable also tends to increase.

Front

What does it mean if a scatterplot shows a negative correlation?

Back

A negative correlation in a scatterplot means that as one variable increases, the other variable tends to decrease.