The following table shows data on X= pressure of extracted gas (microns) and Y=extraction time (min). Assume Y is normally distributed with constant variance o? for each x.155 160 2603.1 3.3 3.7325 370 420 | 4804.3 4.840130275y2.53.04.15.05.41. Calculate a point estimate of the true average extraction time when the pressure ofextracted gas is x*= 500 microns, then calculate a 95% PI for a future value ofextraction time when the pressure of extracted gas is x*= 500 microns.2. Calculate and interpret the sample correlation coefficient r, then test (same 5 steps) for theabsence of correlation between extraction time and pressure of extracted gas at a= 0.05.

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Description: The following table shows data on X= pressure of extracted gas (microns) and Y=extraction time (min). Assume Y is normally distributed with constant variance o? for each x.155 160 2603.1 3.3 3.7325 370 420 | 4804.3 4.840130275y2.53.04.15.05.41. Calc

Given information: Given data represents the values of the independent variable X = pressure of…

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The following table shows data on X= pressure of extracted gas (microns) and Y= extraction time (min). Assume Y is normally distributed with constant variance o? for each x 155 160 260 |275 3.1 3.3 325 370 420 | 480 4.3 4.8 40 130 2.5 3.0 3.7 4.1 5.0 5.4

The following table shows data on X= pressure of extracted gas (microns) and Y= extraction time (min). Assume Y is normally distributed with constant variance o? for each x 155 160 260 |275 3.1 3.3 325 370 420 | 480 4.3 4.8 40 130 2.5 3.0 3.7 4.1 5.0 5.4

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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Question

The following table shows data on X= pressure of extracted gas (microns) and Y=
extraction time (min). Assume Y is normally distributed with constant variance o? for each x.
155 160 260
3.1 3.3 3.7
325 370 420 | 480
4.3 4.8
40
130
275
y
2.5
3.0
4.1
5.0
5.4
1. Calculate a point estimate of the true average extraction time when the pressure of
extracted gas is x*= 500 microns, then calculate a 95% PI for a future value of
extraction time when the pressure of extracted gas is x*= 500 microns.
2. Calculate and interpret the sample correlation coefficient r, then test (same 5 steps) for the
absence of correlation between extraction time and pressure of extracted gas at a= 0.05.

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