1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the correlation coefficient is R and not R') Principals x Teachers y 77.8 43.7 78.4 43.8 80.8 45.0 R 45.6 2. Does the Rvalue represent a positive, negative or no correlation between the salaries of the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 80.5 81.5 45.9 84.8 48.2 87.7 49.3 3. Write the equation of the regression line for the data below. The equation is y= 91.6 51.3 93.6 52.9 95.7 54.4 95.7 54.2 Ilse the regression equation that you found in exercise N3 to predict the average annual

1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the correlation coefficient is R and not R') Principals x Teachers y 77.8 43.7 78.4 43.8 80.8 45.0 R 45.6 2. Does the Rvalue represent a positive, negative or no correlation between the salaries of the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 80.5 81.5 45.9 84.8 48.2 87.7 49.3 3. Write the equation of the regression line for the data below. The equation is y= 91.6 51.3 93.6 52.9 95.7 54.4 95.7 54.2 Ilse the regression equation that you found in exercise N3 to predict the average annual

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Use the data in the table, which shows the average annual salaries (both
in thousands of dollars) for public school principals and teachers in the
U.S. for 11 years.
Apply what you have learned in the previous tab
to complete this graded lab questions.
1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate
the correlation coefficient R. (Recall the corelation coefficient is R and not R
Teachers y
Principalsx
77.8
43.7
78.4
43.8
80.8
45.0
R=
80.5
45.6,
2. Does the R value represent a positive, negative or no correlation between the salaries ol the
teachers and principals? As teacher salaries increase, what happens to prinicipal salaries?
10
11
81.5
45.9
84.8
48.2
12
13
87.7
49,3
3. Write the equation of the regression line for the data below.
The equation is y=
14
91.6
51.3
52.9
Teachers y
15
16
95.7
54.4
COD
54.2
=D0.5873x-2.0s07o
R=0.995,
17
95.7
4. Use the regression equation that you found in exercise #3 to predict the average annual
salary of public school classroom teachers when the average annual salary of public school
principals is $139,723. Show your work in the cells to the right.
18
19
400
20
(Be careful when entering the x-value in the equation. The table shows numbers that have been
adjusted in terms of the thousands. Example if the salary is $82,500, then use x 82.5)
21
300
22
23
200
The predicted salary for teachers is $
when the principal makes $139,723.
24
25
26
27
20.0
400
G0.0
100.0
120.0
28
29
30
31
32
EE
34
35
36
37
38
39
40
41
42
43
44
45
46
4了
48
49
50
51
52
53
54
55
56
Ave
Lab 6-#1
Lab 6-#2
Ready

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Principals Teachers y 1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the correlation coefficient is R and not R2) 77.8 43.7 78.4 43.8 Teachers y vs. Principals x 80.8 45.0 80.5 45.6 R= 0.997496 • Teachers y - 0.587x+-2.05 R = 0.995 81.5 45.9 60.0 2. Does the R value represent a positive, negative or no correlation between the salaries of the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 84.8 48.2 87.7 49.3 91.6 51.3 40.0 93.6 52.9 3. Write the equation of the regression line for the data below. The equation is y = 95.7 54.4 95.7 54.2 20.0 4. Use the regression equation that-you found in exercise #3 to predict the average annual salary of public school classroom teachers when the average annual salary of public school principals is $139,723. Show your work in the cells to the right. 0.0 80.0 85.0 90.0 95.0 (Be careful when entering the x-value in the…
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