Question 1

If everyone's grade went up by 2 points. Which of these would change?

options

• standard deviation
• both mean and standard deviation
• mean
• both mean and standard deviation would NOT change, they would stay the same.

Question 2

Given the information below: SAT: Mean = 1500, Standard Deviation = 250 ACT: Mean = 20.8, Standard Deviation = 4.8 Who did worse Student X that got a 18 on the ACT or Student Y that got a 1,400.

Question 2 options:

• Student X
• Student y
• same, both are equal

Question 3

Z~N(0,1) P( -2

options:

• 2.5%
• 13.5%
• 47.5%
• 27%
• 95%
• 68%

Question 4

Round to 4 d.p.

P( Z > -2.47) = [____]

Question 5

The average salary of a new graduate is $50,000 with a standard deviation of $6,000. Calculate the Z score for a new graduate that makes $45,000. Z = [____] round to 2 d.p.

Question 6

Find the Z score for the 95th percentile. Z = [____] round to 2 d.p.

Question 7

The average salary of a new graduate is $50,000 with a standard deviation of $6,000. Calculate the probability a new graduate makes over $42,020.

P( X > $42,020) = [____] round to 4 d.p.

Question 8

The average salary of a new graduate is $50,000 with a standard deviation of $6,000. The top 2.5% of new graduates make $ (nearest $ no comma)

Question 9

The average salary of a new graduate(X) is $60,000 with a standard deviation of $5,000. If we assume a normal distribution then which of the following is correct?

options:

• X~N(50000,6000)
• X ~ N (5000, 60000)
• X ~ N ( 60000, 5000)
• X ~ N( 0,1)

Question 10

Grades are normally distributed with a mean of 75 and a standard deviation of 8.

What is the probability a student fails. P(X

Question 11

Correlation "r" is always between

options:

• -1 and 1
• 0 and 1
• 0 to +
• - and +

Question 12

Correlation is NOT sensitive to outliers. An extreme outlier will NOT cause a change in r.

options:

False

True

Question 13

Interchanging x and y does change the correlation.

options:

False

True

Question 14

r has no units.

options:

True

False

Question 15

By looking at the plot, what was the lowest average daily temperature in the data set?

Question 16

If the weights where recorded in kilograms instead of pounds, what would happen to the correlation?

options:

• stays the same
• increases
• decreases
• stronger (gets closer to +1 or -1)
• weaker (gets closer to 0)

Question 17

The correlation between years of experience and salary for a data set was 0.73. What would happen to the correlation if ALL the salaries decreased by 10%.

options:

• increase
• stay the same
• decrease

Question 18

If the line of best fit is below the dot (actual value) then what can we say about the residual?

options:

• negative residual
• positive residual
• can't tell
• zero

Question 19

the line of best fit is: predicted calories = 101 + 1.3 * sugar Interpret the slope

options:

• As the number of grams of sugar goes up by 1 the predicted calories goes up by 101
• As the predicted calories goes up by 1 the number of grams of sugar goes up by 1.3
• As the number of grams of sugar goes up by 1 the predicted calories goes up by 1.3
• As the predicted calories goes up by 1 the number of grams of sugar goes up by 101

Question 20

The line of best fit is: predicted calories = 101 + 1.3 * sugar

A drink with a 41 grams of sugar is expected to have [____] calories.

Question 21

The slope and correlation always

options:

• can't tell anything about the sign each problem is different.
• have different signs.
• have the same sign.

Question 22

Given that the correlation between X and Y is -0.5, the mean and standard deviation of X are 1 and 2, the mean and the standard deviation of Y is 3 and 4 respectively. Find the slope for the line of best fit. [____]

Question 23

Given that the correlation between X and Y is -0.5, the mean and standard deviation of X are 1 and 2, the mean and the standard deviation of Y is 3 and 4 respectively. Find the y-intercept for the line of best fit. [____]

Question 24

The line of best fit is:

predicted calories = 101 + 1.3 * sugar

Calculate the residual for a drink that has 160 calories and 50 grams of sugar. [____].

Question 24 options:

Question 25

The line of best fit is:

predicted y = -76 * X - 44.9

r = -0.79

How much variation is accounted for by the model? [____]% (2 decimal places)

Question 26

The line of best fit is:

predicted y = 5.32 - 3.18 * X

R²= 77.44%

The correlation between X and Y is [____] (2 decimal places)

Question 27

When looking at a residual plot we want the points to be scattered with no identifiable pattern.

options:

• True
• False

Question 28

Based on the residual plot we can say that it seems the model

options:

• is a good fit because there is an apparent pattern.
• is NOT a good fit because there is NO apparent pattern.
• is NOT a good fit because there is an apparent pattern.
• is a good fit because there is NO apparent pattern.

Question 29

The regression line is: = 135.98 X - 45.66 what can we say about the correlation?

options:

• negative
• positive
• Strong correlation
• Weak correlation
• Moderate correlation

Question 30

predicted y = 5 X + 7

R= 0.666

The sum of all 75 residuals is [____].

Question 31

Given that A and B are independent.

Find the probability of A or B given that

P(A|B) = 0.25

P(B|A) = 0.8

P(A or B) = [____] (2 decimal places)

Question 32

S = [10, 11, 13, 19, 21, 23, 29, 30]

A = The number is At least 21

B = the number is Between 12 and 25

O = number is Odd

L = number is a Less than 25

Find the P(O) = [____] (2 decimal places)

Question 33

S = [10, 11, 13, 19, 21, 23, 29, 30]

A = The number is At least 21

B = the number is Between 12 and 25

O = number is Odd

L = number is a Less than 25

Which events are disjoint?

options:

• A and B
• B and O
• L and O
• None of the 2 events are disjoint

Question 34

S = [10, 11, 13, 19, 21, 23, 29, 30]

A = The number is At least 21

B = the number is Between 12 and 25

O = number is Odd

L = number is a Less than 25

Which events are independent.

options:

• A and B
• B and O
• L and O
• None of the 2 events are independent

Question 35

Which of these statements are NOT True.

2 events can be

options:

• disjoint and complements
• disjoint and NOT complements
• Complements and NOT disjoint
• Not disjoint and NOT complements

Question 36

S = [10, 11, 13, 19, 21, 23, 29, 30]

A = The number is At least 21

B = the number is Between 12 and 25

O = number is Odd

L = number is a Less than 25

Find the P(A and L) = [____] Round to 2 d.p.

Question 37

S = [10, 11, 13, 19, 21, 23, 29, 30]

A = The number is At least 21

B = the number is Between 12 and 25

O = number is Odd

L = number is a Less than 25

Find the P(B or L) = [____] Round to 2 d.p.

Question 38

S = [10, 11, 13, 19, 21, 23, 29, 30]

A = The number is At least 21

B = the number is Between 12 and 25

O = number is Odd

L = number is a Less than 25

Find the P(L|O) = [____] Round to 3 d.p.

Question 39

25 pet owners where asked if they live alone or not and what type of pet they had.

Live alonelive with othersCat35Dog57Other23

Find the probability a person selected at random does not own a dog. [____] Round to 2 d.p.

Question 40

25 pet owners where asked if they live alone or not and what type of pet they had.

Live alonelive with othersCat35Dog57Other23

Find the probability a person selected at random lives alone. [____] Round to 1 d.p.

Question 41

25 pet owners where asked if they live alone or not and what type of pet they had.

Live alonelive with othersCat35Dog57Other23

Find the probability a person selected at random lives with others and has a dog. [____] Round to 2 d.p.

Question 42

25 pet owners where asked if they live alone or not and what type of pet they had.

Live alonelive with othersCat35Dog57Other23

Find the probability a person selected at random owns a cat or lives with others. [____] Round to 2 d.p.

Question 43

25 pet owners where asked if they live alone or not and what type of pet they had.

Live alonelive with othersCat35Dog57Other23

Given that the person lives alone, what is the probability the person owns a dog. [____] Round to 1 d.p.

Question 44

Given that A and B are independent.

Find the probability of A or B given that

P(A) = 0.3

P(B) = 0.3

P(A or B) = [____] (2 decimal places)

Question 45

25 pet owners where asked if they live alone or not and what type of pet they had.

Live alonelive with othersCat35Dog57Other23

Which 2 events are independent?

options:

• Cat and live alone
• Dog and live alone
• other and live alone
• cat and dog
• live alone and live with others
• None of the 2 events are independent

Question 46

If you guess on this problem what are your chances of getting it right?

options:

• 1 out of 3, 33%
• 0% or 100%
• 50-50, 50%

Question 15 (1 point) Question 16 (1 point) Beach Visitors 600 10 525 450 375 30 Visitors 300 Height (in inches) 225 20 150 75 10 beach 0 80 84 88 92 96 Average Daily Temperature (OF) 10 Weight (in pounds) 40 50 20 30 Question 28 (1 point) Versus Fits (response is HandSpan) w 2 O Residual -1 -2 -3 17 18 19 20 21 22 23 24 25 Fitted Value