INTRODUCTION TO ENGINEERING DESIGN (EDSGN 100)

SPRING 2016

202 Rydal (215)-881-7357

Laboratory Experiment 1: Data Collection/Display/Analysis

Report due: February 1, 2016 10AM – WRITE UP THIS LAB INDEPENDENTLY

Background

Quite often in engineering practice, you will collect data on system performance, or as a needs

assessment to determine the best approach to a problem

. A difficult task for the engineer is to

correctly interpret such data

. This is complicated by the fact that automatic/digital data

acquisition can produce large volumes of numbers

. Statistical analysis techniques are often used

to aid in data interpretation and understanding in order to allow the responsible parties to make

appropriate decisions based on the data

.There are college courses in statistics which you can take if you want more information on

appropriate analyses for particular data sets; we will NOT be attempting to learn statistics in this

lab

. BUT: we will learn some very simple descriptive statistics and how to interpret and apply

them

.In this experiment, you will collect data and then, using appropriate statistical analysis, reach

conclusions based on the data

. A spreadsheet program (Excel) will be used to analyze and the

plot the data

The statistical analysis techniques used will include:

Determination of means (average) and median values and when to use them

Determination of Standard Deviation – what does it tell you?

Generation of Histograms

Generation of graphs relating one variable to another

Plot the independent variable on the horizontal axis and the dependent variable on

the vertical axis

Evaluate the relationship between these variables using a regression (linear)

Determine the correlation coefficient (R2

) for the curve

Our silly research question:

What are the relationships between height, weight, biceps circumference, shoe size, gender, age

and cash carried for EDSGN100 students?

Procedure

Collect the following data as instructed:

1

. Your height, in inches

2

. Your weight, in lbs

.3

. Biceps circumference

4

. Your shoe size (use “US” system)

5

. Your age, in years

6

. Your gender (male, female)

7

. Amount of cash in your pockets/purse/wallet right now

Record your data on the Data Sheet (last page of this handout), then tear off the data sheet and

turn in to the instructor

. DO NOT PUT YOUR NAME ON THE DATA SHEET

.Statistical Analysis

Descriptive Statistics

1

. Report mean and median values for all values except gender

2

. Report standard deviations for all values except gender

Histograms

Generate histograms for:

Weight of Students

Height of Students

Age of Students

Gender

Cash carried by students

Correlation / regression

Generate curves for:

Height vs

. Weight (use height as the horizontal axis (independent variable)

Height vs

. Shoe size (use height as the horizontal axis (independent variable)

Height vs

. Cash (use height as the horizontal axis (independent variable)

Calculate the regression equations for the three graphs above, including the correlation

coefficients

Discussion

“Interpret” your data

. [I know this isn’t very interesting data, but tell me what the values are and

if they are different from what you expected

.] Values to discuss: means and/or medians; standard

deviations, correlation coefficients (R2

)

. Address each ‘question’

.What conclusions can you draw from these data? Which parameters correlate (that is, which of

the correlation coefficients indicate a correlation)? Does the correlation “make sense” (that is,

would you expect this relationship based on your personal experiences)?

Data Sheet:

Fill this in, give the sheet to Dr

. Besser

. DO NOT PUT YOUR NAME ON THIS SHEET

1

. Please enter your height in inches: NOT feet and

inches

. For instance, if you are 5'2", you would enter

the number 62

.Don't put anything before or after the

number, just the number

.2

. What is your weight in pounds? Again, just enter the

number

.3

. Measure the circumference of your biceps (upper arm)

to the nearest 1/8”

4

. What is your Shoe Size? If half size, please use

.5, not

1/2

. For example, if your shoe size is 10 1/2, you would

input 10

.5

5

. What is your age to the closest year? (no fractions)

6

. What is your gender (choose one – use the letter)

A) Male

B) Female

C) other

7

. How much cash is in your pockets/purse/wallet right

now? Round to the closest dollar

. (Don't type the dollar

sign, just put in the number)