Log in
Sign up for FREE
arrow_back
Library

Chapter 2 Review Correlation Practice

star
star
star
star
star
Last updated almost 2 years ago
26 questions
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
Required
4
4
4
4
Required
4
Required
4
4
Question 1
1.

Question 2
2.

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.


Use the scatterplot from #1, interpret(explain) the relationship between speed and average # of accidents.

Question 3
3.

Question 4
4.

Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.


Use the information above (already entered in statsmedic.com/applets)
Calculate the correlation coefficient (r).
Round your answer to three places past the decimal.

Question 5
5.

Question 6
6.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.


Use the scatterplot created in #5.
Interpret/explain the relationship between year and time for the men's 1500m run.

Question 7
7.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.

Using the scatterplot created in #5, is it appropriate to calculate the correlation coefficient?

Question 8
8.

Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.

Calculate the correlation coefficient in statsmedic.com/applets.

Enter the correlation coefficent, round to three places past the decimal if needed.

Question 9
9.

Question 10
10.

Question 11
11.

Question 12
12.

If a group of data comparing grades and hours studied has a correlation coefficient of 0.452, what does this tell your about the relationship?

Question 13
13.

Your friend conducts a study and reports: 'I have found a strong correlation between eye color and gender'.
Is this statement true or false?
Explain why.
Select both correct answers.

Question 14
14.

Identify what is wrong with each of the following statements.
Match each statement to the reason why it is incorrect.
There will be one left over reason.

Draggable itemarrow_right_altCorresponding Item
The correlation between Olympic gold medal times for the 100 m dash and year is -1.37.
arrow_right_alt
Correlation does not have units, it is an r value only.
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
Question 15
15.

Select the scatterplot that shows a STRONG relationship between x and y,
yet has a correlation coefficient of r=0.
A. B. C. D.

Question 16
16.

A study by a prominent psychologist found a moderately strong positive association between the number of hours of sleep a person gets and the person's ability to memorize information.
What does this positive association mean?

Question 17
17.

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.
Does this mean cell phones are good for your health?

Question 18
18.

A survey of the world's nations in 2004 showed a strong positive correlation between percentage of the country using cell phones and life expectancy in year at birth.
What might explain the strong correlation?
What might be the lurking variable? (what is in the background causing both to increase?)

Question 19
19.

Use the following graphs to answer the question:

Which plot shows a relationship that is approximately linear?

Question 20
20.

Use the following graphs to answer the question:

Which plots show a relationship that is very strong?

Question 21
21.

Use the following graphs to answer the question:

Which plot shows a relationship that is negative?

Question 22
22.

Use the following graphs to answer the question:

Which plot shows a relationship that has a correlation near zero?

Question 23
23.

Use the following graphs to answer the question:

Which plot shows a moderately strong association?

Question 24
24.

Question 25
25.

Question 26
26.

Use the following four graphs, match each graph to the corresponding correlation coefficient (r).

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt
0.006
arrow_right_alt
arrow_right_alt
arrow_right_alt
arrow_right_alt
Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.

Use statsmedic.com/applets to create a scatterplot of the relationship between Speed Limit and Average # of accidents.
Describe the relationship between speed and average # of accidents.
Select all that apply.
Scattered
No direction
Positive
Linear
Negative
Weak
Curved
Moderate
Strong
As speed increases, the number of accidents slightly increases.
There is no relationship between speed and the number of accidents.
As speed increases, the number of accidents strongly decreases.
As speed increases, the number of accidents slightly decreases.
As speed increases, the number of accidents strongly increases.
Data was collected by an insurance company on the speed driven and accidents reported. Use the table below to analyze the possible relationship between speed and # of accidents.


Use the scatterplot from #1:
1. What are the three conditions that need to be met to calculate the correlation coefficient (r)?
2. is it appropriate to calculate the correlation coefficient?
Select all four answers:
Quantitative Data Condition
Categorical Data Condition
Yes
Outlier Condition
No
Nearly Normal Condition
Straight Enough (Nearly Linear) Condition
Men's 1500 meter run Olympic Gold Medal times were recorded for comparison in the table below.

Use statsmedic.com/applets to enter the data and create a scatterplot.
NOTE: To enter the year, use the number of years since 1900.
Ex. 1920=20, the year 2012= 112

Create a scatterplot of the data to show the relationship between year and time.
Describe the relationship between year and time for the men's 1500m run.
Curved
Negative
Strong
Weak
Scattered
Linear
Positve
No direction
Moderate
A group of 10 adults were studied, their heights and weights were recorded in the table below.

Enter the data into statsmedic.com/applets.
Create a scatterplot using Ht. as the Xlist and weight as the Ylist.
Describe the relationship between height and weight for this group of adults.
Linear
Curved
No direction
Weak
Scattered
Positive
Negative
Strong
Moderate
The same group of 10 adults were studied, their heights and weights were recorded in the table below.

Using the scatterplot created in #9, is it appropriate to calculate the correlation coefficient?
Why or why not
Yes
It does not meet the Outlier Condition.
It does not meet the Straight Enough Condition.
It does not meet the Quantitative Data Condition.
It meets all three conditions.
No
If a group of data has a correlation coefficient of -0.875, what does this tell you about the description of the scatterplot?
It will be...
Possibly Linear
No direction
Strong
Moderate
Positive
Scattered
Weak
Curved
Negative
As hours studied increases, the grades don't change much.
As hours studied increases, the grades increase strongly.
As hourse studied increases, the grades decrease slightly.
As hours studied increases, the grades decrease strongly.
Correlation can only be found between quantitative variables, he observed an association.
If we were to measure Olympic gold medal times for the 800 m hurdles in minutes instead of seconds the correlation would be -0.66/60 = -0.011.
Correlation values are only from -1.0 to +1.0, they will never be outside that range.
The correlation between Olympic Gold Medal times for the 800 m hurdles and year is -0.66 seconds per year.
Changing the x & y axis for the scatterplot does not change the correlation coefficient. The correlation remains the same.

The correlation coefficient does not change if different units are used. It is not affected by scaling or shifting.
Since the correlation between Olympic gold medal times for the 800 m hurdles and 100 m dash is -0.41, the correlation between 100 m dash times and the 800 m hurdles is +0.41.
Correlation coefficients cannot be negative.
B
There could be a lurking variable, not measured, that is related to both the number of hours of sleep and the ability to memorize information.
An increase in the number of hours of sleep is associated with an increased ability to memorize information.
An increase in the number of hours of sleep causes a decreased ability to memorize information.
An increase in the number of hours of sleep is associated with a decreased ability to memorize information.
2 only
1 and 4 only
2 only
2 and 3 only
1 and 4 only
Suppose you were to collect data for the variables altitude and temperature when climbing mountains.
Which would be the explanatory variable?
Which would be the response variable?
What form, direction and strength do you think you would observe?
Explanatory = temperature
Positive, weak to moderate, possibly linear
Positive, strong, possibly linear
Negative, strong, possibly linear
Explanatory = altitude
Response = temperature
Negative, weak to moderate, possibly linear
Response = altitude
Suppose you were to collect data for the variables distance and time delay when predicting how far away a lightening strike occurred.
Which would be the explanatory variable?
Which would be the response variable?
What form, direction and strength do you think you would observe?
Response = distance
Explanatory = distance
Negative, strong, linear
Positive, strong, linear
Negative, weak to moderate, possibly linear
Explanatory = time delay
Positive, weak to moderate, possibly linear
Response = time delay
b
0.777
d
-0.923
c
-0.487
a
0.936