Question

(1) If the regression line equation of y on x is : û :

= 0.2x + 3, the value
ofy from the table when x=5 is 4.6, then the value of the error in the
value of y is ...
a 0.6
b 0.4 C 0.3
d 0.1

Answer 1

0.6

Explanation:

Given the regression equation :

y = 0.2x + 3,

The actual value of y when x = 5 is 4.6

The predicted of y using the model when x = 5 is :

Put x = 5 in the equation :

y = 0.2(5) + 3

y = 1 + 3

y = 4

The error in the value of y predicted is :

Error = Actual value - Predicted value

Error = 4.6 - 4

Error = 0.6