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Applying Correlation

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Chapter Seven

Problem 1) Look at the scatter plot below. Does it demonstrate a positive or negative correlation? Why? Are there any outliers? What are they?

Answer: This scatter plot demonstrates a positive correlation because the values of Y increase with the increasing values of X with the correlation becoming stronger forming a positive slope. Yes there is an outlier. The second to the last data element is an outlier because it stands out from the rest of the data elements.

Problem 2) Look at the scatter plot below. Does it demonstrate a positive or negative correlation? Why? Are there any outliers? What are they?

Answer: This scatter plot demonstrates a negative correlation because the values of Y decrease with the decreasing values of X with the correlation becoming weaker forming a negative slope. Yes there is an outlier. The second to the last data element is an outlier because it stands out from the rest of the data elements.

Problem 3) The following data come from your book, problem 26 on page 247. Here is the data:

Mean daily calories Infant Mortality Rate (per 1,000 births) 1523 154 3495 6 1941 114 2678 24 1610 107
3443 6
1640 153
3362 7
3429 44
2671 7

a) For the above data construct a scatter plot using SPSS or Excel (Follow instructions on page 244 of your textbook). What does the scatter plot show? Can you determine a type of relationship? Are there any outliers that you can see?

Answer:

b) Using the same data conduct a correlation analysis using SPSS or Excel. What is the correlation coefficient? Is it a strong, moderate or weak correlation? Is the correlation significant or not? If it is what does that mean?

Answer:

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