Question

Calculate regression coefficient $b_{yx}$of the data.
$\sum x=55,\sum y=88,\sum x^2=385,\sum y^2=385,\sum xy=586,n=10$

• A. $1.24$
• B. $2.3$
• C. $1.8$
• D. $1.85$

Answer 1

Answer: (A)

$1.24$

$byx=\frac{\sum (x_i-\overline{x).}(y_i-\overline{y)}}{\sum {(x_i-\overline{x})}^2}=\frac{\sum xy-\frac{1}{x}\sum x.\sum y}{\sum x^2-\frac{1}{x}\left({\sum x}^2\right)}=\frac{586-\frac{1}{10}\times 55\times 88}{385-\frac{1}{10}\times 55\times 55}=\frac{586-484}{385-302.5}=\frac{102}{82.5}=1.236=1.24$.

Hence the answer is $1.24$.