An economist wishes to predict the income of restaurants that are more than two years old from a regression equation, using total floor space and no. of employees. The following date have been obtained for a sample of five restaurants.

Income(0000Rs)

Y

Floor space(000sqm)

X1

No. of Employees

X2

20

15

10

5

10

10

5

10

3

2

15

6

12

7

10

I.Find the regression equation for these data

II.Calculate the standard error of estimate of values of Y about the regression plane

III.Calculate the coefficient of multiple determination.[9+4+2]

b.i) In a distribution exactly normal, 10.3% of the items are under 25 kg and 97% of the items are under 70kg. What are mean and standard deviation of the distribution?

ii) The following table shows the distribution of the number of faulty units produced in a single shift in a factory. The is for 100 shifts

No. of fault: 0123456and more

No. of shift: 41423231899

Fit a Poisson distribution to the data.