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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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.
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