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Suggested Questions for Homework or Projects

Activity Hand_size: Is hand size a good predictor or height?

Questions for Key Concepts:

1. The following statement is statistically incorrect.  Explain what is wrong.  Student ratings of professors' teaching and colleagues' ratings of their research have a correlation of r=1.21.  This shows that those professors who are good teachers are also good researchers.
 
2. Is there evidence that a relationship exists between moderate wine consumption (X) and number of deaths due to heart disease (Y) for developed countries?  Data collected on 19 developed nations is summarized.  Use this information to answer the remaining questions. 

X = wine consumption (avg. # liters wine per person per year)
Mean = 3.03
Standard Deviation (SD) = 2.51

Y = number of heart attack deaths per 100,000 people/year
Mean = 191.05
SD = 68.40
Correlation = -0.843

(a) Interpret the value of the correlation in this setting.

 

(b) Assume a scatterplot shows a linear relationship.  What
     other evidence do you have to suggest that it is ok to go
     ahead and fit a line to this data?

 

(c) Explain how you would verify, by calculation, that the slope
     of the best-fitting line for this situation is -22.97.

 

(d) Explain what this slope means in terms of wine consumption
     and heart attack deaths.

 

 
3. Make a comparison of male and female palm length and width using boxplots and histograms.  Write a report to describe your observations.
 
4. Make a comparison of male and female height using graphical and numerical summaries.  Write a report to describe your observations.
 
5. Construct a scatterplot and regression line for palm width versus height for both males and females separately.  Write a report to describe your observations.
 
6. Construct a scatterplot and regression line for palm length versus height for both males and females separately.  Write a report to describe your observations.
   


 
 
 

CMU, an AA/EO institution, strongly and actively 
strives to increase diversity within its community (see www.cmich.edu/aaeo/).