How do you write a regression equation? A linear regression line has an equation of the form Y 40000 = a + bX, where X is the explanatory variable and Y is 20000 - the dependent variable. The slope of the line is b, and 20000 a is the intercept (the value of y when x = 0). pone 100 200 300 400 S00 Types of correlation coefficient formulas. There are several types of correlation coefficient formulas. One of the most commonly used formulas is Pearson's correlation coefficient formula. If you're taking a basic stats class, this is the one you'll probably use: n(Σxy)-Σx)(Σy) r = V[nEx² – (Ex)²] [ n£y² – (Ey)² ] Pearson correlation coefficient Using the data below 3 9 10 91 13 12 56 93 89 2 4 7 8 11 14 15 Xi 87 75 57 80 67 90 88 82 95 72 77 Yi 44 57 89 96 87 90 85 89 91 52 70 39 55 30 59 Determine the following: (b) Σχ (k) ExY (a) Σχ (е) а (f) Er (n) b (c) X (9) ΣΥ (d) Y (1) n
How do you write a regression equation? A linear regression line has an equation of the form Y 40000 = a + bX, where X is the explanatory variable and Y is 20000 - the dependent variable. The slope of the line is b, and 20000 a is the intercept (the value of y when x = 0). pone 100 200 300 400 S00 Types of correlation coefficient formulas. There are several types of correlation coefficient formulas. One of the most commonly used formulas is Pearson's correlation coefficient formula. If you're taking a basic stats class, this is the one you'll probably use: n(Σxy)-Σx)(Σy) r = V[nEx² – (Ex)²] [ n£y² – (Ey)² ] Pearson correlation coefficient Using the data below 3 9 10 91 13 12 56 93 89 2 4 7 8 11 14 15 Xi 87 75 57 80 67 90 88 82 95 72 77 Yi 44 57 89 96 87 90 85 89 91 52 70 39 55 30 59 Determine the following: (b) Σχ (k) ExY (a) Σχ (е) а (f) Er (n) b (c) X (9) ΣΥ (d) Y (1) n
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 23PFA
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Question
![How do you write a regression equation?
A linear regression line has an equation of the form Y
40000-
= a + bX, where X is the explanatory variable and Y is
30000 -
the dependent variable. The slope of the line is b, and
20000 -
a is the intercept (the value of y when x = 0).
soo0e -
100
200
300
400
S00
Types of correlation coefficient formulas.
There are several types of correlation coefficient formulas.
One of the most commonly used formulas is Pearson's correlation coefficient formula. If you're taking a basic stats
class, this Is the one you'll probably use:
n(Σxy)-Σx)(Σy)
r =
V[nEx² – (Ex)²] [ n£y² – (Ey)²]
Pearson correlation coefficient
+ Using the data below
1
2
3
| 4
6.
8
10
11
12
13
89
5
7
14
15
Xi
87
75
57
80
67
90
88
82
95
91
93
56
72
77
Yi
44
57
89
96
87
90
85
89
91
52
70
39
55
30
59
Determine the following:
(e) a
( b) Σχ
(k) EXY
( ΣΥ
(a) Σx
(c) X
(n) b
(1) n
(9) ΣΥ
(d) Y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90b5f844-a33c-4189-9d6c-983ebf03aae3%2F617cbab8-5277-4fb4-bbb1-af666a7d8876%2Ff11ylh1_processed.png&w=3840&q=75)
Transcribed Image Text:How do you write a regression equation?
A linear regression line has an equation of the form Y
40000-
= a + bX, where X is the explanatory variable and Y is
30000 -
the dependent variable. The slope of the line is b, and
20000 -
a is the intercept (the value of y when x = 0).
soo0e -
100
200
300
400
S00
Types of correlation coefficient formulas.
There are several types of correlation coefficient formulas.
One of the most commonly used formulas is Pearson's correlation coefficient formula. If you're taking a basic stats
class, this Is the one you'll probably use:
n(Σxy)-Σx)(Σy)
r =
V[nEx² – (Ex)²] [ n£y² – (Ey)²]
Pearson correlation coefficient
+ Using the data below
1
2
3
| 4
6.
8
10
11
12
13
89
5
7
14
15
Xi
87
75
57
80
67
90
88
82
95
91
93
56
72
77
Yi
44
57
89
96
87
90
85
89
91
52
70
39
55
30
59
Determine the following:
(e) a
( b) Σχ
(k) EXY
( ΣΥ
(a) Σx
(c) X
(n) b
(1) n
(9) ΣΥ
(d) Y
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