Question

In: Statistics and Probability

1) The following average SO2 concentrations per year were obtained in ppb (parts per billion): Year...

1) The following average SO2 concentrations per year were obtained in ppb (parts per billion):

Year

2015

2016

2017

2018

2019

PPB

12.1

8.7

8.3

5.8

6.1

2) The following data refer to the SO2 concentration time (t), temperature (T), relative humidity (RH) and atmospheric pressure (P) in the last 12 months:

(ppb)

Time

Temperature ()

Relative Humidity (%)

Atmosferic Pressure (mb)

10.3

1

14

31

980

9.9

2

17

42

1010

9.4

3

21

52

1003

10.6

4

28

63

1020

10.1

5

33

74

990

14.3

6

35

88

1050

13.3

7

36

84

1070

8.2

8

35

86

1025

8.8

9

32

90

995

9.1

10

27

81

1005

10

11

23

62

1080

10.4

12

18

42

1056

Fit a multiple linear regression model to estimate the SO2 concentration in the coming months.

Solutions

Expert Solution

2. The multiple linear regression model is:

PPB = -34.6098 - 0.3287Time + 0.0514Temperature + 0.0061Relative Humidity + 0.0443Atmospheric Pressure

The output is:

0.571
Adjusted R² 0.325
R   0.755
Std. Error   1.449
n   12
k   4
Dep. Var. (ppb)
ANOVA table
Source SS   df   MS F p-value
Regression 19.5461 4   4.8865 2.33 .1553
Residual 14.7006 7   2.1001
Total 34.2467 11  
Regression output confidence interval
variables coefficients std. error    t (df=7) p-value 95% lower 95% upper
Intercept -34.6098
Time -0.3287 0.1938 -1.696 .1338 -0.7871 0.1297
Temperature () 0.0514 0.2128 0.241 .8161 -0.4519 0.5547
Relative Humidity (%) 0.0061 0.0851 0.071 .9452 -0.1953 0.2074
Atmosferic Pressure (mb) 0.0443 0.0182 2.437 .0450 0.0013 0.0873

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