Refer Excel Output and answer the following questions.1. State multiple regression equation2. Interpret the meaning of two slopes in this equation3. Interpret the meaning of adjusted r^2. SUMMARY OUTPUTRegression StatisticsMultiple RR SquareAdjusted R SquareStandard Error0.97X1X23.98ObservationsX3ANOVAdfMSSignificance FRegressionResidualX47248.71X8X100.00X5522.73X9TotalX6X7Upper 95%-0.51CoefficientsStandard Errort StatP-valueLower 95%Intercept-3.921.67-2.340.03-7.32Feet0.030.005X110.00X12X13Large4.220.91X140.00X15X16

The coefficients of intercept, Feet and large are given as -3.92,0.03 and 4.22 in the excel output.…

Answered: Refer Excel Output and answer the…

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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Refer Excel Output and answer the following questions.
1. State multiple regression equation
2. Interpret the meaning of two slopes in this equation

3. Interpret the meaning of adjusted r^2.

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
0.97
X1
X2
3.98
Observations
X3
ANOVA
df
MS
Significance F
Regression
Residual
X4
7248.71
X8
X10
0.00
X5
522.73
X9
Total
X6
X7
Upper 95%
-0.51
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Intercept
-3.92
1.67
-2.34
0.03
-7.32
Feet
0.03
0.005
X11
0.00
X12
X13
Large
4.22
0.91
X14
0.00
X15
X16

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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