CCM1B: Unit 8 Test REVIEW Name ______

Use the following table for questions 1-11.

Male / Female / Total
Eats dessert on a Regular Basis / 150 / 200
Does Not Eat Dessert on a Regular Basis / 100 / 150
Total

1. Fill in the marginal frequencies in the table above.

2. What is the probability a female regularly eats dessert?

3. True or False: Based on the information in the table, more men eat dessert than women.

4. Given a person surveyed is a female, what is the probability she does not eat dessert?

5. List the joint frequencies:

6. List the marginal frequencies:

7. What does the number 150 represent in the table?

8. What does the number 350 represent in the table?

9. What is the probability that a male will not eat dessert?

10. What is the joint frequency that a female does not eat dessert?

11. What is the marginal frequency of people eating dessert on a regular basis?

12. Provide a sketch of a residual plot in which 13. Provide a sketch of a residual plo the data should be modeled by a linear model. in which The data should NOT be modeled by a linear model

14. A college surveyed 3,500 of its students to determine if the students preferred music, movies, or sports. The results of the survey are shown in the relative frequency table below.

Movies / Music / Sports / Total
9th / .06 / .10 / .09 / .25
10th / .09 / .05 / .1 / .24
11th / .10 / .06 / .08 / .24
12th / .08 / .09 / .1 / .27
Total / .33 / .3 / .37 / 1

Using the relative frequencies and the total number of students, find how many more freshman than sophomores were surveyed.

15. Provide a real world example of a positive correlation:
16. Provide a real world example of a negative correlation:
17. Provide a scatter plot of a data set with no correlation:

____ 18.The linear model for the amount of water in the lake (y) and the average rain fall (x) is y=0.25x+20. What is the most accurate interpretation of the slope.

A / Amount of water in the lake decreases 20 inches per year.
B / Amount of water in the lake decreases 0.25 inches per year.
C / Amount of water in the lake increases 20 inches per year.
D / Amount of water in the lake increases 0.25 inches per year.

____19.Using the model from question 18, what is the most accurate interpretation of the y-intercept?

A / The starting water level in the lake is 20 inches.
B / The amount of average rainfall is 20 inches.
C / The starting water level in the lake is 0.25 inches.
D / The amount of average rainfall is 0.25 inches.

____ 20.Which of the following statements shows a relationship that is correlated but not causal?

A / The amount of rainfall received and level of water in the lake.
B / The number of lights left on each day and the amount of the electric bill.
C / The increase of warm, sunny days and the number of ice cream vendors visible

Gridded Response – use the table to answer questions 20-24

The table below shows the winning times for the Women’s 100-Meter Freestyle swims in the Summer Olympics since 1972. Find the equation for best-fit line, letting x represent the number of years after 1970.

1972 / 1976 / 1980 / 1984 / 1988 / 1992 / 1996 / 2000 / 2004 / 2008
59.12 / 58.65 / 53.79 / 54.92 / 54.87 / 54.64 / 54.32 / 53.99 / 53.84 / 53.10
21. What is the slope of the best-fit line? / 22. What is the y-intercept of the best-fit line? / 23. What is the correlation coefficient of the best-fit line? / 24. Predict the winning time for the 2016 Olympic Games.

Use the table below for questions 25-29

The table below shows the actual data from the results of the Men’s 400-Meter Dash at the Summer Olympic Games from 1948-1972. Let x = 0 represent 1948.

Year / Time (seconds)
1948 / 24.45
1952 / 23.85
1956 / 23.25
1960 / 23.99
1964 / 23.15
1968 / 22.96
1972 / 22.01

25. Find the line-of-best-fit. Round to the nearest hundredth.

26. Interpret the slope in context using a complete sentence.

27. Interpret the y-intercept in context using a complete sentence.

28. What is the correlation coefficient? ______

29. Describe the correlation.

Use the table below for questions 23-25

The table below shows the weight of fish (in thousands of pounds) caught in local area lakes for six consecutive years.

Elapsed time, t (in years) / Weight (in thousands of pounds)
0 / 12.10
1 / 14.6
2 / 16.25
3 / 16.02
4 / 15.20
5 / 10.99

23. Look at the data points as a scatterplot. Which model looks like it would be the best fit data?

24. Find the best fit equation using the model you chose in #21.

25. Using your model, find the amount of fish caught after 3.5 years. (round to the nearest tenth)