Stratford University Continuous Quantitative Data and Numeric Variable Problems

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Nn75

Programming

Stratford University

Description

HW Specific Instructions

1. Select one of the three graphical displays we learned in the lecture that is the MOST Appropriate for the given data.

2. Graphs have to have appropriate titles and axis labels.

3. Conclusions have to have the three relevant components: Trend, Feature, and Cause.

4. Histogram/Boxplot descriptions have to include the following four components in the given order: Shape, center, spread, and outliers.5.Graphdescriptionshavetobeinanessay/paragraph format.

Guiding lines for constructing a Good Histogram:

1.Find Min and Max

2.Choose class width: A ”nice” round number : Width=(MaxMin) / 6

Round Down, unless very close to a ”nice” number

3.Find starting point of 1st interval a ”nice” number such that : min Width Start min

4.Find endpoint of each class

5.Check if range is split to about6-10 classes.

Please find the Question Attached below

Unformatted Attachment Preview

1). States differ widely in the percentage of college students who attend college in their home state. The percentages of freshmen who attend college in their home state for a number of states are shown below (The Chronicle of Higher Education, August 23, 2013). 46 22 24 40 18 56 25 52 47 42 37 39 36 29 61 59 32 42 55 36 (a) What type of graphical display would you use to display the above data? Clearly justify your choice (b) Suppose you plan to use the data to create a Histogram. What would you use as classes/bins/bar endpoints in your graph? Clearly show your complete work that led you to the choice of the specific classes. (c) Use R to construct the graph you proposed in part). Make sure you select appropriate classes and provide appropriate labels and appropriately numbered axes. Clearly mark on the graph the endpoints for each class. (d) Based on the graph in part @), describe in the context of the study the distribution of the percentages of freshmen who attend college in their home state for the US States. (e) Using the calculator/R, compute the following numerical summaries for the percentages of freshmen who attend college in their home state of the US States. Show your complete work for those quantities that the calculator does not provide the value. The fol- lowing numerical summaries were obtained using a TI calculator. Using a different software or calculator may result in slightly different results. Mean = Median = (f) Report which numerical summary is STATISTICALLY most appropriate to describe the center/ location of the distribution of the percentages of freshmen who attend college in their home state of the US States. Clearly justify your choice. (g) Use the information displayed in the graph in part (@) to formulate a clear and well-reasoned conclusion in the context of the study. (h) Provide the R codes you used to construct the graph in part (@).
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Explanation & Answer

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1 Percentage of college students who attend college in their home state.
a. Justification for choosing a histogram
I chose a histogram because, first, we are handling continuous quantitative data to show its
distribution. Second, since there is only one numeric variable a histogram is best suited for its
descriptive analysis.

b. Max =61
Min =18
Width = (61 -18)/6 =7.166
Rounding down to a “nice” number we get:
Width =round down (7.166) = 5
Endpoints ={15,20,25,30,35,40,45,50,55,60,65}

c. Plot

d. Description of the context of the...


Anonymous
Excellent resource! Really helped me get the gist of things.

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