1) As machines are used over long period of time, the output product can get off target. Below is the average value of how much off target a product is getting manufactured and the time the machine has been in use: Hours of 29 30 34 35 38 44 47 Machine Use (x) Millimetres 1.10 1.21 1.25 1.23 1.30 1.40 1.42 off Target (v) Σx 57 Στ' =9711 Σy = 891 Σw- 33149 Σγ' - 1142 a) Determine the correlation coefficient between the hours of machine use and amount off target and interpret your answer. b) Determine the estimated intercept of regression line. c) Suppose the estimate for the gradient of slope is 0.0159, determine if number of hours the machine is in use for significant effect on the millimetres it is off target for (use a 5% level of significance).
1) As machines are used over long period of time, the output product can get off target. Below is the average value of how much off target a product is getting manufactured and the time the machine has been in use: Hours of 29 30 34 35 38 44 47 Machine Use (x) Millimetres 1.10 1.21 1.25 1.23 1.30 1.40 1.42 off Target (v) Σx 57 Στ' =9711 Σy = 891 Σw- 33149 Σγ' - 1142 a) Determine the correlation coefficient between the hours of machine use and amount off target and interpret your answer. b) Determine the estimated intercept of regression line. c) Suppose the estimate for the gradient of slope is 0.0159, determine if number of hours the machine is in use for significant effect on the millimetres it is off target for (use a 5% level of significance).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1) As machines are used over long period of time, the output product can get off target. Below
is the average value of how much off target a product is getting manufactured and the time
the machine has been in use:
Hours of
29
30
34
35
38
44
47
Machine
Use (x)
Millimetres
1.10
1,21
1.25
1.23
1.30
1.40
1.42
off Target
(v)
Σx 257 Σx? =9711 Σy = 91 Σxν 331.49 Σν 11.42
!!
a) Determine the correlation coefficient between the hours of machine use and amount
off target and interpret your answer.
b) Determine the estimated intercept of regression line.
c) Suppose the estimate for the gradient of slope is 0,0159, determine if number of hours
the machine is in use for significant effect on the millimetres it is off target for (use a
5% level of significance).
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