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You will be provided with 5 data sets. For each of the five given data sets, perform the following steps: Construct a scatter plot for the variables...

You will be provided with 5 data sets. For each of the five given data sets, perform the following steps:

 Construct a scatter plot for the variables using Excel.

 Compute the value of the correlation coefficient using Excel.

 Give an explanation of the type of relationship that exists between the two variables. This explanation should include:

o Say whether there is a strong positive linear correlation, weak positive linear correlation, strong negative linear correlation, weak negative linear correlation, or no linear correlation between the two variables.

o Describe how you can see this from the scatter plot and from the value you found for the correlation coefficient.

o Interpret this relationship in the context of the problem.

5. The 1st and 4th given data sets have a significant correlation. For these two data sets,

 Add the regression line to your scatterplot using Excel

 Find the equation of the regression line using Excel

 Use your regression line to predict a y-value for the given x-value, sentence explaining this prediction.

o Data set #1 : use x = 11

o Data set #4 : use x = 550

6. A discussion of the distinction between correlation and causation with respect to data sets.

Clearly explain the difference and include examples in your explanation.

7. A conclusion that summaries what you discussed/found in project.

Notes:

 Your project should be typed (no hand-written projects!).

 Include all of the sets of data and scatter plots in your report (these can all be copied and pasted

into Word from Excel).

 You may reference the textbook, Chapter 9.1 and 9.2, to help with your definition/descriptions.

Data Sets:

1. Does it pay to stay in school? A researcher wishes to determine if there is a relationship between

the number of years of education and the unemployment rate.

Years of Education, x 5 7.5 8 10 12 14 16

Unemployment Rate, y 16.8 17.1 15.3 20.6 11.7 8.1 3.8

2. A study compared the body weight (in kilograms) and brain weight (in grams) for a sample of

mammals.

Body Weight, x 52.16 60 27.66 85 36.33 100 35 62 83 55.5

Brain Weight, y 440 81 115 325 400 157 56 350 98.2 175

3. Can you predict how well you will do in a course based on the result of the midterm exam only? A

researcher gathered data from a random sample of 12 students in a math course.

Midterm Grade, x 50 90 70 80 60 90 90 80 70 70 60 50

Overall Grade, y 70 80 50 60 35 70 85 80 65 70 65 55

4. A study compared the mean SAT Reading and Math scores for a sample of nine states.

SAT Reading Score, x 497 515 518 592 568 572 543 501 522

SAT Math Score, y 510 515 523 587 535 554 529 514 521

5. A researcher wishes to determine if there is any relationship between the number of country and

hip-hop CDs owned by students.

Country CDs Owned, x 1 3 11 8 20 27

Hip-hop CDs owned, y 10 12 13 3 6 1

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