3

The number of hours devoted to studying a subject and the marks obtained by eight students in the corresponding examination is:

Hours (x) 20 16 34 23 27 32 18 22
Mark (y) 6.5 6 8.5 7 9 9.5 7.5 8

Calculate:

1 Line of regression of y on x.

2 The estimated mark a person would obtain who studied 28 hours.


xi yi xi ·yi xi2 yi2
16 6 256 36 96
18 7.5 324 56.25 135
20 6.5 400 42.25 130
22 8 484 64 176
23 7 529 49 161
27 9 729 81 243
32 9.5 1,024 90.25 304
34 8.5 1,156 72.25 289
192 62 4,902 491 1,534

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Solution

Correlation and Regression Solution