Determine the regression equation in three different ways (using raw data, deviation data and standard data) by first determining the values of the coefficients b and a from the data using 3 different formulas. Find the value of the correlation coefficient and write down the interpretation of the correlation coefficient with r2

Determine the regression equation in three different ways (using raw data, deviation data and standard data) by first determining the values of the coefficients b and a from the data using 3 different formulas. Find the value of the correlation coefficient and write down the interpretation of the correlation coefficient with r2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 46E

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Question

based on data above ( Attached )

Determine the regression equation in three different ways (using raw data,
deviation data and standard data) by first determining the values of the coefficients b and a from the data using 3 different formulas.
Find the value of the correlation coefficient and write down the interpretation of the correlation coefficient with r²

X
22 18
15 16 7
9 31
6
8 46
576
7
Y X
4
45
19
N∞
19
2 11
36 27
12 19
26
16
36
35 47
25
49
22
16
Y
25
36
27
X
11
5
26
45 19
18 8
18 1
37 9
42
20
12
819
18
46
9
Y
17
6
45
30
18
3
7
28
21
25

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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