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.

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:

	R²	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

orchestra answered 3 years ago

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