Question

In: Statistics and Probability

Venturi scrubbers remove submicron particles found in waste gas streams, an experiment was conducted at a...

Venturi scrubbers remove submicron particles found in waste gas streams, an experiment was conducted at a manufacturing site measuring the performance of the scrubber at various airflow rates (cubic meters per minute). The performance is measured in NTU’s: transfer units of mass (or heat) higher values indicate better performance. Given the data below, construct the residuals plot.

airflow rate

NTU

2.475

1.93

2.475

1.95

1.484

1.16

1.484

1.17

1.294

1.1

1.294

1.04

1.286

0.98

1.286

0.99

2.475

2.01

2.475

2.04

1.295

1.29

1.295

1.25

1.286

1.24

1.286

1.09

1.274

1.11

1.274

1.14

0.665

0.65

0.665

0.72

Solutions

Expert Solution

Y'=a+bX

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.978309027
R Square 0.957088552
Adjusted R Square 0.954406587
Standard Error 0.090715726
Observations 18
ANOVA
df SS MS F Significance F
Regression 1 2.936730514 2.936731 356.8609 2.30214E-12
Residual 16 0.131669486 0.008229
Total 17 3.0684
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 0.185985074 0.061237513 3.03711 0.007847 0.056167347 0.315803
airflow rate 0.720861115 0.038159452 18.89076 2.3E-12 0.639966691 0.801756

Observation Predicted NTU Residuals
1 1.970116334 -0.040116334
2 1.970116334 -0.020116334
3 1.255742969 -0.095742969
4 1.255742969 -0.085742969
5 1.118779357 -0.018779357
6 1.118779357 -0.078779357
7 1.113012468 -0.133012468
8 1.113012468 -0.123012468
9 1.970116334 0.039883666
10 1.970116334 0.069883666
11 1.119500218 0.170499782
12 1.119500218 0.130499782
13 1.113012468 0.126987532
14 1.113012468 -0.023012468
15 1.104362135 0.005637865
16 1.104362135 0.035637865
17 0.665357716 -0.015357716
18 0.665357716 0.054642284

orchestra answered 1 year ago
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