In: Statistics and Probability
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 |
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 |