a) Draw a scatterplot for the data and comment. b) Determine the relationship between the workers' experience and time taken to produce an item. Hence, estimate how long a worker with 10 months experience will take to produce an item. c) If the company would like an item to be produced within 22 minutes, advise how much experience workers need. d) Calculate the Pearson's correlation coefficient and discuss its value. e) Calculate and interpret the coefficient of determination.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
3 You have observed 10 workers on the shop floor and have timed how long it takes each to
produce an item. You have been able to match these times with the length of the workers
experience. The results are:
Worker
Experience
(months)
Time taken
(minutes)
27
2
26
30
3
3.
4
8
20
22
6.
9.
20
7
12
16
8.
16
15
9.
30
10
6.
19
a) Draw a scatterplot for the data and comment.
b) Determine the relationship between the workers' experience and time taken to produce an
item. Hence, estimate how long a worker with 10 months experience will take to produce
an item.
c) If the company would like an item to be produced within 22 minutes, advise how much
experience workers need.
d) Calculate the Pearson's correlation coefficient and discuss its value.
e) Calculate and interpret the coefficient of determination.
Transcribed Image Text:3 You have observed 10 workers on the shop floor and have timed how long it takes each to produce an item. You have been able to match these times with the length of the workers experience. The results are: Worker Experience (months) Time taken (minutes) 27 2 26 30 3 3. 4 8 20 22 6. 9. 20 7 12 16 8. 16 15 9. 30 10 6. 19 a) Draw a scatterplot for the data and comment. b) Determine the relationship between the workers' experience and time taken to produce an item. Hence, estimate how long a worker with 10 months experience will take to produce an item. c) If the company would like an item to be produced within 22 minutes, advise how much experience workers need. d) Calculate the Pearson's correlation coefficient and discuss its value. e) Calculate and interpret the coefficient of determination.
Expert Solution
Step 1

Solution:

Let, 

    Y=The time taken to produce an item (in         minutes)

   X=The length of workers experience ( in  months)

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman