Question

scatter plots & data test
first question (partially visible) about two numerical sets of data with positive association?
a. as one variable increases, the other variable does not change
b. as one variable increases, the other variable increases
c. as one variable decreases, the other variable increases
d. as one variable increases, the other variable decreases
second question (partially visible) about two numerical sets of data with negative association?
a. as one variable increases, the other variable does not change
b. as one variable increases, the other variable increases
c. as one variable decreases, the other variable increases
d. as one variable increases, the other variable decreases
for questions 3 – 7, determine the type of association you would see between the two variables – positive, negative, or none:

1. the length of a movie and the number of actors in the movie
2. the temperature outside and the amount of ice cream sold
3. the amount of time spent traveling and the distance to the destination
4. the number of food items bought and the total cost of the bill
5. the height of students and their scores on their math test

for questions 8 – 15, choose the type of association from the box below that best describes the scatter plot.
a. positive and linear b. negative and linear c. non - linear d. none
e. outlier f. clustering g. weak h. strong
scatter plot diagrams for questions 8–15 (partially visible with plotted points)

Explanation:

Step1: Identify positive association

Positive association means as one variable increases, the other increases.

Step2: Identify negative association

Negative association means as one variable increases, the other decreases.

Step3: Classify Q1 (positive association)

Match definition to option: C. As one variable increases, the other variable increases

Step4: Classify Q2 (negative association)

Match definition to option: D. As one variable increases, the other variable decreases

Step5: Analyze Q3 (movie length & actors)

No consistent trend between the two variables.
Result: None

Step6: Analyze Q4 (temp & ice cream sold)

Higher temperature = more ice cream sold (positive trend).
Result: Positive

Step7: Analyze Q5 (travel time & distance)

Longer distance = more travel time (positive trend).
Result: Positive

Step8: Analyze Q6 (food items & total cost)

More items = higher total cost (positive trend).
Result: Positive

Step9: Analyze Q7 (height & math test score)

No consistent trend between the two variables.
Result: None

Step10: Classify Plot 8

Points show a clear upward linear trend.
Result: A. Positive and Linear

Step11: Classify Plot 9

Points form distinct grouped clusters.
Result: F. Clustering

Step12: Classify Plot 10

Points show a clear downward linear trend.
Result: B. Negative and Linear

Step13: Classify Plot 11

Points show a weak downward linear trend.
Result: B. Negative and Linear, G. Weak

Step14: Classify Plot 12

Points form two distinct grouped clusters.
Result: F. Clustering

Step15: Classify Plot 13

Points show a strong positive linear trend.
Result: A. Positive and Linear, H. Strong

Step16: Classify Plot 14

Points show no clear trend (weak/no association).
Result: G. Weak

Step17: Classify Plot 15

Points show a curved, non-linear upward trend.
Result: C. Non-Linear

Answer:

1. C. As one variable increases, the other variable increases
2. D. As one variable increases, the other variable decreases
3. None
4. Positive
5. Positive
6. Positive
7. None
8. A. Positive and Linear
9. F. Clustering
10. B. Negative and Linear
11. B. Negative and Linear, G. Weak
12. F. Clustering
13. A. Positive and Linear, H. Strong
14. G. Weak
15. C. Non-Linear