Hw 13; Unit 4 test Review

This HW is similar to the upcoming test on Unit 4: Statistics

​Be sure to have a paper and calculator in hand!

Topic 1: Correlation

<sup>Calculator Steps to find the Correlation Coeficent (r):

To add data: To find correlation (r=)</sup>

1. Stat

2. Edit

3. Put in data for L1 and L2

1. Stat

2. Calc

3. Click on #4 Lin Reg

4. Enter, Enter, Enter, Enter

Topic 2: Linear Regression

^{Calculator Steps to find the Linear Regression Equation (y=ax+b):
To add data: To find the linear reg round a and b
plug into equation}

1. Stat

2. Edit

3. Put in data for L1 and L2

1. Stat

2. Calc

3. Click on #4 Lin Reg

4. Enter, Enter, Enter, Enter

Multiple Choice

Correlation coefficient is the statistic that measures the strength and direction of a linear relationship between two variables.

• True

• False

Multiple Choice

If r=0, there is a strong correlation.

• True

• False

Multiple Choice

A correlation shows that two things are

• related
• causing each other
• unrelated

Multiple Choice

Which example shows CORRELATION?

• I put water in the freezer and now I have ice.
• The alarm clock went off and I woke up.
• Temperature and the amount of people at the beach.

Multiple Choice

Estimate the value of r:

• 0.03
• -1
• 0.79
• - 0.72

Multiple Choice

What type of correlation does this graph have?

• Positive correlation

• Negative correlation

• No correlation

• Constant correlation

Multiple Choice

What type of correlation does this scatter plot show?

• Positive correlation

• Negative correlation

• No correlation

• Constant correlation

Multiple Choice

Estimate the correlation coefficient for this scatterplot.

• r = 1.2
• r = 0.89
• r = 0
• r = -0.89

Multiple Choice

Given the following Scatter Plot, select the option that is most likely the r value.

• $$r=-.45$$

• $$r=-.981$$

• $$r=.728$$

• $$r=.12$$

Multiple Choice

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

Use the steps to find it in your calculator.

• y = 1.5x + 12

• y = 12x + 1.5

• y = 0.67x - 8

• y = -8x + 0.67

Multiple Choice

What is the closest correlation coefficent for the set of data in the table?

(look at your calculator)

• r=.95

• r= -.55

• r= -. 94

• r=.21

Multiple Choice

In a scatterplot, an outlier...

• ...is something we didn't learn

• ...is a puppet with a long nose named Pinocchio
• ...is a point that is far outside the main cluster of points/ordered pairs
• ...is a really naughty point who doesn't tell the truth when outside

Multiple Choice

r = -0.3 is considered to have...

• moderate negative correlation

• weak negative correlation

• no correlation

• strong negative correlation

Multiple Choice

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
(keep this information on your calculator for the next question)

• y = 61.93x - 1.79
• y = -1.79x + 61.93
• y = 0.016x + 0.03
• y = 0.03x + 0.016

Multiple Choice

Explain what the correlation correlation means in the context of this situation

• There is a strong positive correlation between the time driving and the total distance driven in miles

• There is a weak positive correlation between the time driving and the total distance driven in miles

• There is a strong negative correlation between the time driving and the total distance driven in miles

• There is no correlation between the time driving and the total distance driven in miles

Mean
Median
Standard Deviation
Minimum/ Maximum (Range)
Q1 and Q3 (IQR)
Outliers

We use 1 Var Stats to find the:

Topic 3: 1 Var Stats

Dot Plots
Whisker Plots
Outlier Formula

Multiple Choice

What does this symbol represent? $$\overline{x}$$  

• standard deviation
  

• median

• mode

• mean

Multiple Choice

Compare the mean and median of the following set: 1, 2, 3, 4, 5.

• Mean is greater than median

• Mean is less than median

• Mean is equal to median

• Cannot be determined

Multiple Choice

Determine the IQR for this set of data. 12, 13, 14, 15, 17, 18, 19, 19, 22, 23

• 14

• 5

• 17.5

• 19

Multiple Choice

What is the standard deviation of the sample:

22,19,45,10,13,9

• 15.856

• 13.411

• 12.243

• 19.66

Box and Whisker Plots

IQR = Q3 - Q1

Multiple Choice

What is the median of the data?

• 200
• 100
• 90
• 140

Multiple Choice

What data value is the upper quartile (Q3)?

• 64
• 62
• 66
• 58

Multiple Choice

Which box and whisker plot has the highest median?

• Top plot
• Bottom plot

Dot Plots

Multiple Choice

What is the range of the data shown?

(Range= Max- Min)

• 82

• 2

• 3

• 83

Multiple Choice

How many total students were surveyed about their number of brothers and sisters? (add up all of the dots)

• 15

• 10

• 6

Multiple Choice

What is the mode of the data?

(Mode= number that repeats most)

• 2

• 1

• 4

• 12

Multiple Choice

How many students did their homework in less than 6 hours?

• 5

• 6

• 3

• 4

Multiple Choice

How many students spent 7 hours doing homework that week?

• 1
• 3
• 5
• 6

Two Way Frequency Tables

​Some questions will ask you to find percentages on the table's data... use

​Some questions will ask you to fill in the rest of the values by subtracting from the total

Multiple Choice

What percentage of males drive sports cars?

• 35%
• 16.25%
• 65%
• 25%

Multiple Choice

How many sophomores like burritos and pizza?

• 6
• 5
• 11
• 50

Multiple Choice

How many people purchased no food and no drink?

• 60
• 10
• 20
• 200

Multiple Choice

What percentage of students choose waffles?

• 27

• 30

• 37%

• 33%

Outlier Formulas

Multiple Choice

How do we calculate the IQR of a data set?

• Q1 + Q3

• Q3 - Q1

• Q1 - Q3

• Q1 * Q3

Multiple Choice

When using the IQR to find outliers, which formula will identify the upper limit?

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

Multiple Choice

Given the data set: 23, 34, 27, 12, 30, 26, 28, 31, 34

Find the IQR.

• 8

• 9

• 24.5

• 32.5

Multiple Choice

Using the information below, identify which of the following is an outlier:
Q1 = 3
Q2 = 7
Q3 = 12

• 22
• 25.5
• -8.5
• 26

Multiple Choice

Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:
84, 88, 72, 74, 98, 16, 94 

• Yes, 16 is an outlier.
• Yes, 33 is an outlier.
• Yes, 98 is an outlier.
• There are no numbers less than 39 or greater than 124, therefore there are no outliers.