Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions. TimeStudyGPAStudent 12.003.50Student 24.003.70Student 35.003.30Student 43.002.60Student 54.003.40Where SS(residual)=∑i(yi−yˆi)^2 is 0.6829Calculate (by hand) the SStotal and SSmodel.What does mean by “goodness of fit”? What is the F-ratio for testing the “goodness of fit”? Is it statistically significant? Calculate this question by hand. What does tobs = 3.47 mean? What does tcrit = 3.47 mean?If the ƞ2 in an experiment is 0.6, give any possible value of ω2. R2 Linear = 0.0253.80A 3.30y=3.09+0.06*x2.802.302.002.503.003.504.004.505.00TimeStudy CorrelationsTimeStudyGPATimeStudy Pearson Correlation1.157Sig. (2-tailed).80155GPAPearson Correlation.1571Sig. (2-tailed).801N5LO

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Description: Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions. TimeStudyGPAStudent 12.003.50Student 24.003.70Student 35.003.30Student 43.002.60Stud

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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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Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions.

	TimeStudy	GPA
Student 1	2.00	3.50
Student 2	4.00	3.70
Student 3	5.00	3.30
Student 4	3.00	2.60
Student 5	4.00	3.40

Where SS(residual)=∑i(yi−yˆi)^2 is 0.6829

Calculate (by hand) the SStotal and SSmodel.
What does mean by “goodness of fit”?
What is the F-ratio for testing the “goodness of fit”? Is it statistically significant? Calculate this question by hand.
What does tobs = 3.47 mean? What does tcrit = 3.47 mean?
If the ƞ² in an experiment is 0.6, give any possible value of ω².

R2 Linear = 0.025
3.80
A 3.30
y=3.09+0.06*x
2.80
2.30
2.00
2.50
3.00
3.50
4.00
4.50
5.00
TimeStudy

Correlations
TimeStudy
GPA
TimeStudy Pearson Correlation
1
.157
Sig. (2-tailed)
.801
5
5
GPA
Pearson Correlation
.157
1
Sig. (2-tailed)
.801
N
5
LO

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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