Answered: Below data covers 66 observations of…

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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Question

Below data covers 66 observations of students’ GPA and Hours studied for a given year.

1. Using boxplots, examine distribution of each of GPA and Hours studied variable. Show and
describe if there is/are suspected outlier for any of the variable. What is mean and standard deviation for each variable and briefly explain what they imply about the distribution of each variable.
2. What is the explanatory and response variable in the given case. Find and explain the
correlation and coefficient of determination. Draw the scatter plot and find the trend line. Label your scatter plot. Briefly explain scatterplot.
3. Run the least square regression line for the data and describe the regression line in terms of intercept, and slope. Clearly explain what does slope of the regression line explains.

Student
ID
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
GPA
2.99
3.25
3.20
3.20
3.20
2.04
3.50
2.80
3.82
3.79
3.00
3.40
3.30
2.90
2.70
3.60
2.80
3.58
2.01
3.20
3.30
2.75
2.57
3.10
3.00
3.47
3.63
3.02
3.00
3.32
3.70
2.90
2.57
Hours
Studied
3
25
11
14
20
3
21
10
100
14
17.5
12
8
9
6
10
12
22
12
21
2
5
17.5
14
2
4
8
15
10
9
12
3
6
Student
ID
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
GPA
1.96
2.43
3.27
2.89
3.29
2.90
2.99
2.33
3.82
3.40
2.28
3.68
2.92
3.31
3.98
3.82
2.85
2.95
3.78
2.63
2.63
3.18
3.45
3.58
2.84
2.70
2.93
3.29
2.95
3.13
2.54
2.88
2.41
Hours
Studied
3
5
8
6
10
6
7
3
18
8
2
8
3.5
7
30
40
7
6
12
6
6.5
5
14
9
4
4.5
8
9
4.5
6
7
9
4.5

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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