Exploring Scatter Plots and Trend Lines

What is the main purpose of using scatter plots and trend lines in mathematics?

• To compare unrelated data

• To confuse students

• To predict future trends based on past data

• To create colorful graphs

What does a scatter plot show?

• The amount of time spent on homework

• The number of students in a class

• The relationship between two different sets of data

• The grades of students in a test

Which of the following is an example of a positive correlation?

• The more you practice, the worse you get

• The less you sleep, the more tired you are

• The more you study, the more problems you get correct on a test

• The more you eat, the less hungry you feel

What does a negative correlation indicate?

• As one variable increases, the other also increases

• There is no relationship between the variables

• As one variable increases, the other decreases

• Both variables decrease simultaneously

What is the purpose of the line of best fit in a scatter plot?

• To make the graph look better

• To show the exact values of the data points

• To estimate the pattern of the data

• To connect all the data points

How is the line of best fit drawn?

• By connecting the first and last data points

• By connecting all the data points

• By averaging the data points

• By drawing a line that is closest to all the data points

In the practical example, what is the relationship between hours spent on the internet and grade percentage?

• Neutral correlation

• No correlation

• Negative correlation

• Positive correlation

Which of the following is most likely to have a positive correlation?

• The price of a pizza and the number of toppings

• The temperature of a rock sitting outside on a snowy day

• The number of classes you take and the number of shoes you have

• The amount of time running and the time it takes to run a mile

Which of the following is most likely to have a negative correlation?

• The amount of time practicing a free-throw and the shots you make

• The weight of a dog and the amount of food it eats

• The number of classes you take and the number of shoes you have

• The amount of time running and the time it takes to run a mile

What kind of correlation is displayed when there is no pattern between the X and Y variables?

• Positive correlation

• Negative correlation

• No correlation

• Neutral correlation