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In biofiltration of wastewater, air discharge from a treatment facility is passed through a damp porous membrane that causes contaminants to dissolve in water and

In biofiltration of wastewater, air discharge from a treatment facility is passed through a damp porous membrane that causes contaminants to dissolve in water and be transformed into harness products. The accompanying data of x = inlet temperature (degrees Celsius) and y = removal efficiency percentage is shown on the left.

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a. Generate a Scatter Plot of data and does the plot suggest a linear trend in the positive or negative direction.

b. Run a regression model. What is the Coefficient of Determination?

c. What is the Coefficient of Linear Correlation?

d. What is the Covariance of x and y variables?

e. What is the calculated F Value?

f. What is the critical F at alpha = .05 level?

g. is there a relationship between the independent and dependent variables. Test at alpha equal to .05? Explain?

h. Conduct a utility test at the alpha equal .05 level to determine if the temperature variable contributes to model relationship. Does the temperature variable contribute to the relationship of x and y? Why or why not?

i. What is the predicted Removal % for a temperature of 18 degrees Celsius?

j. What is the 95% confidence intervals of the prediced removal % for a tempature of 18 degrees Celsius?

Obs Temp Removal %
1 7.68 98.09
2 6.51 98.25
3 6.43 97.82
4 5.48 97.82
5 6.57 97.82
6 10.22 97.93
7 15.69 98.38
8 16.77 98.89
9 17.13 98.96
10 17.63 98.90
11 16.72 98.68
12 15.45 98.69
13 12.06 98.51
14 11.44 98.09
15 10.17 98.25
16 9.64 98.36
17 8.55 98.27
18 7.57 98.00
19 6.94 98.09
20 8.32 98.25
21 10.50 98.41
22 16.02 98.51
23 17.83 98.71
24 17.03 98.79
25 16.18 98.87
26 16.26 98.76
27 14.44 98.58
28 12.78 98.73
29 12.25 98.45
30 11.69 98.37
31 11.34 98.36
32 10.97 98.45

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