9/1/2021

Complete estimation activity

• Place sticky notes on the graphs (one for S and one for D) for 2*average
• Place sticky notes on the graphs (one for S and one for D) for s + max
• Place sticky notes on the graphs (one for S and one for D) for ((n+1)/n)*max
• Which statistic do you think estimates the population size better? Why?

Methods of Collecting Data

• Census
• Sample
• Experiment
• Observational Study
• Anecdotal Evidence

The Idea Behind Sampling

• parameters versus statistics

Exploration with RStudio

• Open ExploreClassDataF21.R on our Google Drive folder and run the commands on your laptop

In Class Exercises

1. Construct appropriate graphs to visually summarize the information collected on the class data survey for the following variables:
   • Year
   • Height
   • Handedness
   • Age
   • HometownSize
   • PulseRate
   • TextMessages
   • Varsity.Sport
   • CatsDogs
   • MusicPreference
   • ExerciseMinutes
   • FootLength
2. Use appropriate graphical displays and descriptive statistics to make appropriate comparisons between cat and dog lovers for different variables in the data set we collected during the first class.
3. Use appropriate graphical displays and descriptive statistics to make appropriate comparisons between the class years for different variables in the data set we collected during the first class.
4. Is the shape of the distribution for guesses of the length of the black string the same as the distribution of guesses for the length of the white string?
5. The actual length of the white sting is 46". Is the overall distribution of guesses centered at this value?
6. The actual length of the black string is 48". Is the overall distribution of guesses centered at the appropriate value?
7. (Do this exercise "by hand," not with R.) Caution is necessary when constructing histograms from frequency distributions given in magazines, newspapers, journal articles, etc.  The authors of "Self-Reports of Academic Performance," an article which appeared in Soc. Methods and Research (1981), studied the difference in GPA, reported - actual, for each of the students in a sample.  Specify the height of each bar in a correct histogram for the frequency distribution below and sketch the histogram.

  Frequency distribution for errors in reported GPA

Class Interval	Relative Frequency	Height
[-2.0, -0.4)	.023
[-0.4, -0.2)	.055
[-0.2, -0.1)	.097
[-0.1,  0.0)	.210
[ 0.0,  0.1)	.189
[ 0.1,  0.2)	.139
[ 0.2,  0.4)	.116
[ 0.4,  2.0)	.171

Please read Section 1.4 for class on Monday