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regression
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Asked by jaishreepatidar2 | 18 Dec, 2022, 14:59: PM
To find the coefficient correlation between x and y
xi |
yi |
xiyi |
x2 |
y2 |
3 |
6 |
18 |
9 |
36 |
4 |
8 |
32 |
16 |
64 |
5 |
10 |
50 |
25 |
100 |
7 |
14 |
98 |
49 |
196 |
8 |
16 |
128 |
64 |
256 |
10 |
20 |
200 |
100 |
400 |
Sum xi = 37 |
Sum yi= 74 |
Sum xiyi = 526 |
Sum x2 = 263 |
Sum y2 = 1049 |
![C o r r e l a t i o n space c o e f f i c i e n t space b e t w e e n space x space a n d space y space i s space g i v e n space b y
left parenthesis r right parenthesis equals fraction numerator begin display style sum for blank of end style x y minus begin display style fraction numerator begin display style stack left parenthesis sum x with blank below end style right parenthesis left parenthesis sum for blank of y right parenthesis over denominator N end fraction end style over denominator square root of sum for blank of x squared minus begin display style open parentheses sum for blank of x close parentheses squared over N end style end root square root of sum for blank of y squared minus open parentheses sum for blank of y close parentheses squared over N end root end fraction
equals fraction numerator 526 minus begin display style fraction numerator 37 cross times 74 over denominator 6 end fraction end style over denominator square root of 263 minus begin display style left parenthesis 37 right parenthesis squared over 6 end style end root square root of 1049 minus begin display style left parenthesis 74 right parenthesis squared over 6 end style end root end fraction](https://images.topperlearning.com/topper/tinymce/cache/a478eb44a83613435b673d1c5a1f8b7c.png)
xi |
yi |
xiyi |
x2 |
y2 |
3 |
6 |
18 |
9 |
36 |
4 |
8 |
32 |
16 |
64 |
5 |
10 |
50 |
25 |
100 |
7 |
14 |
98 |
49 |
196 |
8 |
16 |
128 |
64 |
256 |
10 |
20 |
200 |
100 |
400 |
|
|
|
|
|
Answered by Renu Varma | 22 Dec, 2022, 14:11: PM
JEE main - Maths
Asked by dipakshelake1998 | 09 Mar, 2022, 08:59: AM