In a trend line based on five observations if the average of

In a trend line based on five observations if the average of Y is 100 and the slope of line is 22, then the intercept is? a)32 b)34 c)36 d)38

Solution

Let line be Y=22x+C

Put x= 1 , Y=22+C

x=2 , Y=44+C

x=3, Y= 66+C

x=4, Y=88+C

x=5 , Y=110+C

Average of Y =100

100=( 22+C+44+C+66+C+88+C+110+C)÷5

500= (5C+330)

5C=170

C=34

Hence Y=22x+34

Put x=0

Y=34 is intercept of line.

Ans Y=34