Chapter 2 Lessons 2.2 - 2.4 Correlation Test

Last updated over 1 year ago
20 questions
Required
4

Use the picture of the graphs below:

Which graph shows the strongest positive correlation?

Required
4

Use the picture of the graphs below:

Which graph shows the weakest negative correlation?
(weakest correlation in the negative direction)

Required
4

Use the picture of the graphs below:

Match the graph number with the corresponding correlation coefficient.

Draggable itemCorresponding Item
2
0.67
# Not Used
-0.45
1
0.01
3
-0.75
4
0.91
Required
4

What type of graph should you check to determine if it is appropriate to find the correlation coefficient for a set of data?

Required
4

When deciding if a set of data is appropriate for calculating the correlation coefficient,
what are the three conditions that need to be met?

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4

One of the following data sets is NOT or is LESS appropriate for finding the correlation coefficient.

1st look at Set A data.
Enter the data into statsmedic.com/applets. (2 quantitative variables)
Create the appropriate plot.
Describe the association between Age and Height for Group A:
Select three correct answers.

Required
4

One of the following data sets is NOT or is LESS appropriate for finding the correlation coefficient.

Now look at the data for Set B:
Enter the data for Set B into statsmedic.com/applets, use 2 quantitative variables,
create the appropriate plot.

Describe the association between Age and Height for Group B:
Select three correct answers.

Required
4

One of the following data sets is NOT or LESS appropriate for finding the correlation coefficient.

1. For which set of data is it NOT appropriate (least appropriate) to calculate the correlation coefficient?
2. Explain why.

Required
4

One of the following data sets is NOT or LESS appropriate for finding the correlation coefficient.

For the data set in which it IS APPROPRIATE to calculate the correlation, use statsmedic.com/applets to find the correlation coefficient and enter the value below.
Round your answer to three places past the decimal.

Required
4

Fuel Economy 2010: Here are advertised horsepower ratings and expected gas mileage for several 2010 vehicles.

Use statsmedic.com/applets to visualize the data above.
Before you create the plot, which variable will you use for the explanatory variable?
Why?

Required
4

Fuel Economy 2010: Here are advertised horsepower ratings and expected gas mileage for several 2010 vehicles.

You will use statsmedic.com/applets to visualize the data above.
Which variable will you use for the response variable?

Required
4

Fuel Economy 2010: Here are advertised horsepower ratings and expected gas mileage for several 2010 vehicles.


Check if it is appropriate to calculate the correlation coefficient.

Using the scatterplot from statsmedic.com/applet, is it appropriate to calculate and interpret the correlation coefficient?
Why or why not?

Required
4

Fuel Economy 2010: Here are advertised horsepower ratings and expected gas mileage for several 2010 vehicles.

Use the scatter plot created in #12, describe the association between HP and MPG:
(Use direction, form and strength)

Required
4

Fuel Economy 2010: Here are advertised horsepower ratings and expected gas mileage for several 2010 vehicles.

Interpret the relationship between HP and MPG:
(As.... increases, ....)

Required
4

Fuel Economy 2010: Here are advertised horsepower ratings and expected gas mileage for several 2010 vehicles.

Calculate the correlation coefficient using statsmedic.com/applets
Round to three places past the decimal.

Required
0

BONUS: Fuel Economy 2010: Here are advertised horsepower ratings and expected gas mileage for several 2010 vehicles.

Does your analysis prove that horsepower causes lower miles per gallon?
Explain.

Required
4

What does a correlation coefficient measure?

Required
4

After conducting a survey at a pet store to determine the impact of having a pet on the condition of the yard, a news reporter stated: 'There appears to be a strong correlation between having a pet and the condition of the yard.'
Comment on this statement, is it correct?
Think about our discussions in class.
Hint: what does a correlation measure? what are the requirements to find a correlation?
Explain below.

Required
4

Researches investigating the association between the size and strength of muscles measured the forearm circumference (in inches) of 20 teenage boys. Then they measured the boys' grip strength (in pounds). The data is shown in the scatterplot:

Estimate the correlation coefficient, which value from the list is the most reasonable for the data?

Required
4

Researches investigating the association between the size and strength of muscles measured the forearm circumference (in inches) of 20 teenage boys. Then they measured the boys' grip strength (in pounds). The data is shown in the scatterplot:

If the point in the lower right corner (at about 14", 38 lb) were removed, what would happen to the correlation coefficient?