Statistical Analysis (You may use excel but please show the process. No long explanation needed. Rate will be given)Solve for the following:a. Fit the simple linear regression model using the method of least squaresb. Find an estimate of standard deviationc. Estimate the mean chloride concentration for a watershed that has 1% roadway area Research reported the results of a study on the occurrence of oxygen and chloride in surface streams incentral Washington state area. The following data are chloride concentration y (in milligrams per liter)and roadway area in the watershed x (in percentage)y19.2023.1027.4027.7031.8039.50X0.691.301.051.061.741.62y4.406.609.7010.6010.8010.90X0.190.150.570.700.670.63y11.8012.1014.3014.7015.0017.30x0.470.700.600.780.810.78

Answered: Statistical Analysis (You may use excel…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Statistical Analysis (You may use excel but please show the process. No long explanation needed. Rate will be given)

Solve for the following:

a. Fit the simple linear regression model using the method of least squares

b. Find an estimate of standard deviation

c. Estimate the mean chloride concentration for a watershed that has 1% roadway area

Research reported the results of a study on the occurrence of oxygen and chloride in surface streams in
central Washington state area. The following data are chloride concentration y (in milligrams per liter)
and roadway area in the watershed x (in percentage)
y
19.20
23.10
27.40
27.70
31.80
39.50
X
0.69
1.30
1.05
1.06
1.74
1.62
y
4.40
6.60
9.70
10.60
10.80
10.90
X
0.19
0.15
0.57
0.70
0.67
0.63
y
11.80
12.10
14.30
14.70
15.00
17.30
x
0.47
0.70
0.60
0.78
0.81
0.78

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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