Question

x  1     2   3     4     5.    6.   7       8      9      10

y 22  39  70 126 227 408 735 1322 2380 4285

The data above represents the number of hits on your web site over 10 months. Make a scatter plot of ln y versus x. Use the scatter plot to find the equation for the line of best fit.

Answer 1

Using R

x=c(1,2,3,4,5,6,7,8,9,10)
y=c(22,39,70,126,227,408,735,1332,2380,4285)

#a)
plot(x,log(y))
abline(lm(log(y)~x))

#b)
plot(log(x),log(y))
abline(lm(log(y)~log(x)))

a) Scatter plot ln y verses x

b)   Scatter plot ln y verses x

c)

USing above two plot we say that the exponatial model rpresent better result than power model here .