Question 1

Which of the following best describes a scatterplot?

Accepted Answer

A graph of paired numerical data with one independent and one dependent variable.

Question 2

In the context of scatterplots, what does a linear correlation indicate?

Accepted Answer

The data points form a straight line pattern.

Question 3

A teacher collects data on students' test scores and hours spent studying. The scatterplot shows that as study time increases, test scores also increase. What type of correlation is this?

Accepted Answer

Positive correlation

Question 4

Given the following data: Cargo Weight (kg): 40, 42, 44, 46, 48, 50; Flight Distance (km): 100, 98, 96, 94, 92, 90. What type of correlation exists between cargo weight and flight distance?

Accepted Answer

Negative correlation

Question 5

Which equation represents the general form of a linear relationship between two variables $$x$$ and $$y$$?

Accepted Answer

$$y = mx + b$$

Question 6

A scatterplot of mean driving speed and number of speeding tickets shows no apparent pattern. What is the best description of the correlation?

Accepted Answer

No correlation

Question 7

If a scatterplot shows that as the amount of soda consumed increases, test scores decrease, what type of correlation is present?

Accepted Answer

Negative correlation

Question 8

Which of the following scenarios is most likely to produce a nonlinear correlation on a scatterplot?

Accepted Answer

The relationship between enzyme activity and temperature, where activity increases then decreases.

Question 9

When plotting data on a calculator, which function is typically used to create a scatterplot?

Accepted Answer

STATPLOT

Question 10

A researcher finds that the correlation coefficient $$r$$ between two variables is $$-0.85. $$What does this indicate?

Accepted Answer

A strong negative linear correlation

Question 11

Which of the following is NOT a possible value for the correlation coefficient $$r$$?

Accepted Answer

$$r = 1.2$$

Question 12

A scatterplot shows a cloud of points with no discernible pattern. What is the most likely value of the correlation coefficient $$r$$?

Accepted Answer

$$r \approx 0$$

Question 13

Which of the following best describes the relationship shown in a scatterplot where the points form a straight line sloping upwards from left to right?

Accepted Answer

Positive linear correlation

Question 14

If a scatterplot of test scores and hours spent playing video games shows a downward trend, what can you infer?

Accepted Answer

There is a negative correlation between test scores and hours spent playing video games.

Question 15

Which step is necessary before plotting a scatterplot on a calculator?

Accepted Answer

Enter the data as lists (e.g., L1 and L2).

Question 16

A dataset shows that as the number of hours spent exercising increases, the number of doctor visits decreases. Which of the following best describes this relationship?

Accepted Answer

Negative correlation

Question 17

Which of the following is a real-world example of a positive correlation?

Accepted Answer

Height and weight among adults

Question 18

If the points on a scatterplot curve upwards and then downwards, what type of correlation is present?

Accepted Answer

Nonlinear correlation

Question 19

Which of the following statements about correlation is TRUE?

Accepted Answer

Correlation does not imply causation.

Question 20

A scatterplot of test scores and number of pets owned shows no pattern. What is the most likely conclusion?

Accepted Answer

There is no correlation between test scores and number of pets owned.

Scatterplots and Correlation: Exploring Relationships Between Two Variables

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