MAT SLP Modules 1-5

Module -1
The assignment this week is to collect quantitative data for a minimum
of 10 days from ONE of your daily activities. Some examples of data collection
include:

• The number of minutes you spend studying every day.
• The time it takes to cook meals each day.
• The amount of daily time spent talking on the phone.
• The amount of time you drive each day.

In a paper (1–3 pages), describe the data you are going to collect and
how you are going to keep track of the time. Within the paper, incorporate the
concepts we are learning in the module including (but not limited to)
probability theory, independent and dependent variables, and theoretical and
experimental probability. Discuss your predictions of what you anticipate the
data to look like and events that can skew the data. Collect data for at least
10 days. Do you think the data will provide a valid representation of these
activities? Explain why or why not.

Module-2

Using the data you collected in the Module 1 SLP, write a paper (1–3
pages) including all of the following content:

• Calculate the mean, median, and mode of your collected data. Show and
explain your calculations.
• Are these numbers higher or lower than you expected? Explain.
• Which of these measures of central tendency do you think most
accurately describes the variable you are looking at? Provide your
justification.
• Create a box plot to represent the data, labeling and numerating all
5 points on the box plot. For the plot, you may draw and insert it in your
paper as a picture. Make sure it is legible.

Module-3

Continuing with the data you collected in the Module 1 SLP, write a
paper (1–3 pages) including all of the following content:

• Include your data from Module 1.
• Create a frequency distribution table for your data. You can use
Excel or Word.
• Calculate the standard deviation.
• Calculate the variance.
• Is this a normal distribution? How do you know?
• What are the implications?

Module-4

In this assignment, you will continue to collect data for another 5–10 days.
Write a paper (1–3 pages) including all of the following content:

• Recalculate the mean, standard deviation, and variance.
• Is your mean increasing or decreasing?
• Explain the effects of the larger sample size in relation to your
data.
• Do you think the current sample you have is enough to draw an
accurate conclusion, or do you need a larger sample?
• What conclusions can you draw from comparing both sets of data?

Module-5

Welcome to the final SLP. In this assignment, you will use regression and
ANOVA to analyze your data. Write a 2- to 4-page paper summarizing the
following points.

1. Take your data and arrange it in the order you collected it. Count
the total number of observations you have, and label this number N. Then create
another set of data starting from one and increasing by one until you reach N.
For example, if you have 10 observations, then your new set of data would be
(1, 2, 3, 4, 5, 6, 7, 8, 9, 10). This set of data is called a time series. Run
a regression using your original set of data as your dependent variable, and
your time series as an independent variable. Go to the following site (using
Google or Firefox) to calculate your regression:
http://www.meta-calculator.com/online/?panel-403-regression-input. What is the
regression equation? Interpret and explain your results.

2. Divide your data in half (or into two groups of 8 or less). Then use
ANOVA to test if there is a significant difference between the two halves of
your data. Use this site to input your data (http://statpages.org/anova1sm.html).
Interpret and explain your results.

Summarize your conclusions at the end of the paper.