Question

1. what would be an example of bivariate data with a positive association? a) number of letters in your name; number of pets you have b) number of miles driven; amount of gas in tank c) amount of electricity used; amount owed on electric bill 4) in a scatter - plot, two variables are shown to have a negative association. which statement is true? a) as one variable increases, the other variable decreases b) as one variable increases, the other variable increases c) data shows no visible pattern 5) which statement about scatter plots is not true? a) scatter plots are used to see relationships between two variables. b) scatter plots can show a linear association, a non - linear association, or no association. c) for linear associations the line of best fit must go through the origin. d) lines of best fit may not go through any points on the scatter plot. 6) which of the scatter plots shows the most appropriate line of best fit for the data?

Explanation:

Step1: Understand positive association

Positive association means as one variable increases, the other variable also increases. For the amount of electricity used and the amount owed on the electric bill, more electricity used leads to a higher bill. So for question 3, the answer is c.

Step2: Recall negative - association definition

In a negative association, when one variable increases, the other decreases. So for question 4, the answer is a.

Step3: Analyze scatter - plot facts

The line of best fit for linear associations does not have to go through the origin. Scatter plots are used to show relationships, can show linear/non - linear/no association, and lines of best fit may not pass through any points. So for question 5, the answer is c.

Step4: Evaluate line of best fit

The line of best fit should be as close as possible to all the data points. Option b appears to have the line that best represents the trend of the data points in the scatter plot. So for question 6, the answer is b.

Answer:

1. c. Amount of electricity used; amount owed on electric bill
2. a. As one variable increases, the other variable decreases
3. c. For linear associations the line of best fit must go through the origin.
4. b.