Bivariate Data Review

What is the purpose of the line of best fit?

• To create a visual representation of data points

• To make predictions about one variable based on the value of another variable

• To calculate the mean of a data set

• To identify outliers in the data

What is the slope of a line?

• The slope of a line measures the steepness and direction of the line, calculated as the change in y over the change in x.

• The slope of a line is the length of the line segment between two points.

• The slope of a line is always a positive number regardless of the direction.

• The slope of a line is the angle it makes with the x-axis.

What is a linear relationship?

• A relationship that can be represented by a curved line on a graph.

• A relationship between two variables that can be represented by a straight line on a graph.

• A relationship that shows no correlation between two variables.

• A relationship that only exists in mathematical equations.

What is the equation of a line in slope-intercept form?

• @@y = mx + b@@

• @@y = b + mx@@

• @@y = mx - b@@

• @@y = rac{b}{m}x@@

How do you calculate the slope from two points?

• @@m = \frac{y_2 - y_1}{x_2 - x_1}@@

• @@m = \frac{x_2 - x_1}{y_2 - y_1}@@

• @@m = y_1 - y_2@@

• @@m = x_1 + x_2@@

How can you tell if a scatter plot shows a strong correlation?

• A scatter plot shows a strong correlation if the data points are closely clustered around the line of best fit.

• A scatter plot shows a strong correlation if the data points are randomly scattered across the plot.

• A scatter plot shows a strong correlation if the data points form a perfect circle.

• A scatter plot shows a strong correlation if the data points are all located in one quadrant.

What does positive correlation mean?

• It means that as one variable increases, the other variable also increases.

• It means that as one variable increases, the other variable decreases.

• It means that there is no relationship between the variables.

• It means that the variables are completely unrelated.

What is a scatter plot?

• A type of bar graph that displays categorical data.

• A graph that shows the relationship between two quantitative variables by displaying data points on a Cartesian plane.

• A pie chart that represents parts of a whole.

• A line graph that shows trends over time.

What is the y-intercept?

• The point where the line crosses the x-axis.

• The point where the line crosses the y-axis, indicating the value of y when x is zero.

• The slope of the line at the origin.

• The value of x when y is zero.

What is the line of best fit?

• A straight line that best represents the data on a scatter plot, showing the trend of the data.

• A curved line that connects all the points in a scatter plot.

• A line that randomly connects points in a scatter plot without showing any trend.

• A line that represents the average of all data points in a scatter plot.