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Minitab Exam Questions: Regression and Control Charts, Exams of Business Statistics

Questions from an exam focusing on using minitab for regression analysis and creating control charts. Students are required to enter datasets, calculate regression equations, find residual values, and determine control limits for mean and standard deviation charts.

Typology: Exams

2012/2013

Uploaded on 02/26/2013

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22S:008 Exam 2, Part II, April 9, 1999
Name:_____________________________________________ Please circle one. Section: 11:30, 12:30 or 2:30
You may only use Minitab to answer these questions. Do not open any other software—no email, no Netscape,
no nothing!
Do not print anything on the Lab printers. Please enter all of your answers from the computer screen onto these
exam pages.
1. Enter the dataset named Realprop.mtw from the 22S-008 MTW data folder. These data give four
variables, market value, square footage, assessed value, and grade for 60 houses.
a) (3 pts) What is the equation for the fitted regression plane that predicts Market from Sq.ft and
Assessed together?
b) (2 pts) What are the residual and fitted values for the house with Sq.ft = 538 and Assessed = 28.2 ?
residual = _________ fitted value = ____________
c) (2 pts) What is the value of the residual standard deviation for the model fit in part a)?
residual standard deviation = ___________
2. Again use the dataset named Realprop.mtw from the 22S-008 MTW data folder.
a) (2 pts) Create a new variable called Sq.ft.sq that is the square of the variable Sq.ft . What is the
value of Sq.ft.sq for the third house in the dataset?
Sq.ft.sq = _________
b) (3 pts) What is the equation for the fitted quadratic regression curve that predicts Market from a
quadratic curve in Sq.ft?
c) (2 pts) What is the correlation coefficient between Sq.ft and Market?
correlation coefficient = ___________
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1

22S:008 Exam 2, Part II, April 9, 1999

Name:_____________________________________________ Please circle one. Section: 11:30, 12:30 or 2:

You may only use Minitab to answer these questions. Do not open any other software—no email, no Netscape, no nothing! Do not print anything on the Lab printers. Please enter all of your answers from the computer screen onto these exam pages.

  1. Enter the dataset named Realprop.mtw from the 22S-008 MTW data folder. These data give four variables, market value, square footage, assessed value, and grade for 60 houses. a) (3 pts) What is the equation for the fitted regression plane that predicts Market from Sq.ft and Assessed together?

b) (2 pts) What are the residual and fitted values for the house with Sq.ft = 538 and Assessed = 28.2?

residual = _________ fitted value = ____________

c) (2 pts) What is the value of the residual standard deviation for the model fit in part a)?

residual standard deviation = ___________

  1. Again use the dataset named Realprop.mtw from the 22S-008 MTW data folder.

a) (2 pts) Create a new variable called Sq.ft.sq that is the square of the variable Sq.ft. What is the value of Sq.ft.sq for the third house in the dataset?

Sq.ft.sq = _________

b) (3 pts) What is the equation for the fitted quadratic regression curve that predicts Market from a quadratic curve in Sq.ft?

c) (2 pts) What is the correlation coefficient between Sq.ft and Market?

correlation coefficient = ___________

2

  1. Enter the dataset named P&G2.mtw from the 22S-008 MTW data folder. (Be sure you enter P&G2 and not P&G1) These data are cap tightness of hair conditioner bottles from the Iowa City Proctor & Gamble plant. They are in subgroups of size 4. These data were collected after a process improvement had been implemented. a) (3 pts) Display the standard deviation control chart for these data. What is the value of average of the subgroup standard deviations? average subgroup standard deviation = ________

b) (3 pts) What is the value of the “three sigma” upper control limit on the s chart? UCL = _________

c) (3 pts) Is there evidence that the variability for this process is in-control or do we have evidence of special causes?

d) (3 pts) Display the mean control chart for these data. What is the value of the grand mean for these data? grand mean = ___________

e) (3 pts) What is the value of the “three sigma” lower control limit on the mean chart? LCL = _________

f) (3 pts) Is there evidence that the mean level for this process is in-control or do we have evidence of special causes in this process?