Quiz about Prob/Stats Fall Final Review

Question 1

Population is...

Accepted Answer

... the total amount of things.

Answer

... a small part used for the study.

Question 2

Sample size is the total amount of things in a population.

Accepted Answer

False

Answer

True

Question 3

Variables can be classified as...

Accepted Answer

... quantitative and categorical.

Answer

... qualitative and quantitative.

Answer

... qualitative and categorical.

Question 4

Which of the following is an example of quantitative data?

Accepted Answer

A Person's Height

Answer

The color of your car

Answer

A person's state of residence

Answer

A person's Zip Code

Question 5

Which of the following is an example of categorical data?

Accepted Answer

High School Graduate or Not

Answer

Annual Income

Answer

Years of Schooling Completed

Answer

Years of playing an instrument

Question 6

What is the relative frequency of cheetahs at the refuge?

Accepted Answer

20%

Answer

25%

Answer

16%

Answer

100%

Question 7

The table shows the results of a survey about favorite types of stores. Determine the relative frequency for each store.

Accepted Answer

clothing: 38%

electronics: 22%

pet: 10%

candy: 30%

Answer

clothing: 19%

electronics: 11%

pet: 5%

candy: 15%

Answer

clothing: 50%

electronics: 25%

pet: 5%

candy: 20%

Answer

clothing: 35%

electronics: 23%

pet: 15%

candy: 27%

Question 8

How many MORE people like Owls than Dogs?

Accepted Answer

6

Answer

10

Answer

1

Answer

3

Question 9

Which is the most popular meal?

Accepted Answer

Salad

Answer

Chicken Dinner

Answer

Pizza

Answer

Burger

Question 10

Question 10.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 11

Which is a true statement based on the box plots above

Accepted Answer

The data for Team B have the greater interquartile range.

Answer

The data for Team B have the greater range.

Answer

The data for Team A are more symmetric.

Answer

The data for Team A have the greater median.

Question 12

What is the difference in medians of the two box plots?

Accepted Answer

2

Answer

3

Answer

4

Answer

5

Question 13

Which statement is true about the interquartile range?

Accepted Answer

Class 1 has an interquartile range of 4, and Class 2 has an interquartile range of 5.

Answer

Class 1 has and interquartile range of 4 which is greater than the interquartile range of Class 2.

Answer

Class 1 has and interquartile range of 5 which is greater than the interquartile range of Class 2.

Answer

Class 1 and Class 2 have an interquartile range of 14.

Question 14

Compare the centers and spreads.

Accepted Answer

Math has a higher median (center) and a wider spread.

Answer

Math has a higher median (center) and a smaller spread.

Answer

Math has a lower median (center) and a smaller spread.

Answer

Math has a lower median (center) and a wider spread.

Question 15

What is the shape of the data?

Accepted Answer

skewed right

Answer

symmetrical

Answer

skewed left

Answer

bell curve

Question 16

What is the shape of the data?

Accepted Answer

skewed left

Answer

symmetrical

Answer

skewed right

Answer

bell curve

Question 17

Describe the shape of the graph.

Accepted Answer

Symmetrical

Answer

Skewed

Answer

Uniform

Question 18

How does the median number of miles driven for Driver A compare to the median number of miles driven for Driver B?

Accepted Answer

Driver A drives much less than Driver B when comparing medians.

Answer

Driver B drives much less than Driver A when comparing medians.

Answer

The medians are the same

Answer

Driver A and Driver B make the same amount of money.

Question 19

What percent reported pepperoni as their favorite?

Accepted Answer

43.75%

Answer

45%

Answer

50%

Answer

35%

Question 20

Out of 400 people, how many would you expect to say their favorite topping is sausage?

Accepted Answer

50 people would pick sausage

Answer

53%

Answer

53 people would pick sausage

Answer

50%

Question 21

If there are 300 seventh graders, how many students prefer choir?

Accepted Answer

96

Answer

24

Answer

75

Answer

42

Question 22

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

Accepted Answer

2.26

Answer

16.45

Answer

-2.26

Answer

1.26

Question 23

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

Accepted Answer

-11.43

Answer

7.85

Answer

-2.33

Answer

4.16

Question 24

Find the z-score.

Mean = 45

Standard Deviation: 2.1

x = 50

Accepted Answer

2.38

Answer

3.00

Answer

3.08

Answer

2.33

Question 25

Find the range of the data.

63, 71, 65, 66, 87, 53

Accepted Answer

34

Answer

32

Answer

33

Answer

35

Question 26

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

Accepted Answer

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 21

Answer

Median: 54

First Quartile: 49

Third Quartile: 67

IQR: 18

Answer

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 22

Answer

Median: 54

First Quartile: 49

Third Quartile: 69

IQR: 20

Question 27

The frequency of a specific data value divided by the total number of data values in the set.

Accepted Answer

Relative Frequency

Answer

Conditional Relative Frequency

Answer

Marginal Relative Frequency

Answer

Joint Relative Frequency

Question 28

If I tell you that you scored at the 55th percentile on your final exam, you would know:

Accepted Answer

55% of the class scored the same or worse than you did

Answer

You earned a 55% on the exam

Answer

You failed the exam

Answer

45% of the class scored worse than you did

Question 29

The Median is also referred to as

Accepted Answer

the 50th Percentile

Answer

the 25th Percentile

Answer

the 75th Percentile

Answer

the 100th Percentile

Question 30

The response variable is:

Accepted Answer

The variable we expect to change in response to the explanatory variable

Answer

The variable we expect to explain or predict the value of the explanatory variable.

Answer

Sometimes called the independent variable

Question 31

We wish to investigate whether a persons IQ score can be predicted by their age. Which is the explanatory variable?

Accepted Answer

Age

Answer

IQ Score

Answer

None of the Above

Question 32

We wish to investigate the relationship between the number seeds planted in a garden and the number of fruit grown. The explanatory variable (EV) is

Accepted Answer

The number of seeds planted

Answer

The number of fruit grown

Answer

The amount of soil in the garden

Answer

The number of hours spent watering the plants

Question 33

What type of relationship does this graph show?

Accepted Answer

No Relationship

Answer

Positive

Answer

Negative

Answer

Constant

Question 34

how would you describe this association?

Accepted Answer

positive linear strong

Answer

positive linear weak

Answer

positive linear moderate

Answer

no association

Question 35

The correlation coefficient "r" is a value between

Accepted Answer

-1 and 1

Answer

0 and 1

Answer

0 and 100

Answer

-2 and 2

Question 36

Estimate the value of r:

Accepted Answer

- 0.72

Answer

0.03

Answer

-1

Answer

0.79

Question 37

What axis does the response variable go on?

Accepted Answer

y-axis

Answer

x-axis

Question 38

What axis does the explanatory variable go on?

Accepted Answer

x-axis

Answer

y-axis

Question 39

In a survey at school, it is found that grades in Mathematics and hours of time spent on completing homework has an association. Which variable is the response variable?

Accepted Answer

Grade in mathematics

Answer

Connection between the variables is not clear

Answer

Time spent completing homework

Answer

Time spent completing homework as it determines the grade in mathematics.

Question 40

Which scatter plot shows a linear relationship between x and y?

Accepted Answer

Graph C

Answer

Graph A

Answer

Graph B

Answer

Graph D

Question 41

Which sentence describes the relationship shown on this scatter plot?

Accepted Answer

As the time spent training increases, the time to run 100 m decreases.

Answer

The more time spent training, the longer it takes to run 100 m.

Answer

As the time spent training decreases, the time to run 100 m decreases.

Question 42

Estimate the correlation coefficient for this scatterplot.

Accepted Answer

B) r = 0.89

Answer

A) r = 1.2

Answer

C)r = 0

Answer

D) r = -0.89

Question 43

As x increases, y decreases.

Accepted Answer

B) negative correlation

Answer

A) no correlation

Answer

C) correlation coefficient

Answer

D) positive correlation

Question 44

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

Accepted Answer

D) An increase in coffee shops causes an increase in violent crimes

Answer

A) As the number of coffee shops increase, violent crimes appears to increase.

Answer

B) The line of best fit (regression line) shows a positive correlation

Answer

C) The data has a positive correlation coefficient

Question 45

What is the line of best fit? Use your line formulas.

Accepted Answer

f(x)= 1.82x + 5.02

Answer

f(x)= 5x+1.82

Answer

cannot be determined

Answer

f(x)= 1.1x + 4.2

Question 46

What is the equation of the line of best fit?

Accepted Answer

y = -25x + 170

Answer

y = -5/8x + 170

Answer

y = 25x + 170

Answer

y = 5/8x + 170

Question 47

A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.

Accepted Answer

y = 1.5x + 12

Answer

y = 12x + 1.5

Answer

y = 0.67x - 8

Answer

y = -8x + 0.67

Question 48

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

Accepted Answer

617.5 miles

Answer

10 miles

Answer

0.19 miles

Answer

500 miles

Question 49

In a certain population there is an approximately linear relationship between y=height of females (in centimeters) and x=their age (in years, from 5 to 18) described by the equation y "hat'=50.3+6.1x. Which one of the following statements must be true?

Accepted Answer

The estimated slope is 6.1, which implies that girls in this population between the ages of 5 and 18 are predicted to grow about 6.1 centimeters in height for every year they grow older.

Answer

The estimated intercept is 60.3 centimeters. We can conclude from the intercept that the typical height of a girl in this population is 50.3 centimeters at birth.

Answer

A 10 year old girl in this population is at least 110.3 centimeters tall.

Answer

One particular 8 year old girl is 115 centimeters tall. She is shorter than expected for girls her age in the population.

Question 50

Scientists examined the activity level of 7 fish at different temperatures. The least-squares regression equation was calculated for the relationship between y = fish activity (rated as 0 = no activity and 100=maximal activity) and x = water temperature in degrees Celsius. The regression calculation produced a value of s=4.785. Which pf the following gives a correct interpretation of s in this setting?

Accepted Answer

The typical distance of the temperature readings from their mean is about 4.785 degrees Celsius.

Answer

For every 1 degree Celsius increase in temperature, fish activity is predicted to increase by 4.785 units.

Answer

The typical distance of the activity level ratings from the least-squares line is about 4.785 units.

Answer

The typical distance of the activity-level ratings from their mean is about 4.785 units.

Question 51

There is a positive correlation between the size of a hospital (measured by number of beds) and the median number of days that patients remain in the hospital. Does this mean that you can shorten a hospital stay by choosing to go to a smaller hospital?

Accepted Answer

No; the positive correlation probably arises because seriously ill people go to larger hospitals.

Answer

No; a negative correlation would allow that conclusion, but this correlation is positive,

Answer

Yes; a positive correlation establishes that a large hospital size is the reason for longer stays.

Answer

Yes; but only if r is very close to 1.

Question 52

Derek Jeter, the New York Yankees' star shortstop, retired after the 2014 season. A linear regression model and quadratic model were calculated to predict y= the number of home runs Jeter hit in a given year from x= his age that year. Here are the residual plots for each model. Which of the following statements is supported by these residual plots?

Accepted Answer

The quadratic model is a better fit because there is no pattern in the residuals of the quadratic model.

Answer

The linear model is a better fit because there is no pattern in the residuals of the linear model.

Answer

The linear model is a better fit because there is an upside down U-shaped pattern in the residuals of the linear model.

Answer

The quadratic model is a better fit because there is an upside down U-shaped pattern in the residuals of the quadratic model.

Question 53

China's carbon dioxide emissions from the burning of fossil fuels have grown rapidly for many years. An exponential regression model was calculated to predict y = CO₂ emissions from fossil fuels (in metric tons) from x = years since 1902. In 1962 (x=60), China's CO₂emissions totaled 440,319,000 metric tons. Which of the following is the residual for this observation?

Accepted Answer

100,024,682.5

Answer

-340,294,317.5

Answer

-100,024,682.5

Answer

340,294,317.5

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