Answered: What does the slope mean for my data?…

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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What does the slope mean for my data?

What does the y - intercept mean for my data?

What does the Correlation Coefficient mean for my data?

Simple linear regression results:

Dependent Variable: Life Expectancy
Independent Variable: Population
Life Expectancy = 75.75267 + 1.2943659e-8 Population
Sample size: 15
R (correlation coefficient) = 0.15016128
R-sq = 0.022548409
Estimate of error standard deviation: 7.3992241

Parameter estimates:

Parameter	Estimate	Std. Err.	Alternative	DF	T-Stat	P-value
Intercept	75.75267	2.2530251	≠ 0	13	33.622648	<0.0001
Slope	1.2943659e-8	2.3636059e-8	≠ 0	13	0.5476234	0.5932

Analysis of variance table for regression model:

Source	DF	SS	MS	F-stat	P-value
Model	1	16.418609	16.418609	0.29989139	0.5932
Error	13	711.73072	54.748517
Total	14	728.14933

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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