From the following data calculate:

a. Coefficient of correlation

b. Standard deviation of Y

X=0.854Y; Y=0.89X; σ_x =3

Find the limit of the following function:

lim x --> ∞(x+1) (2x+3)

(x+2) (3x+4)

Discuss the limitations of statistics. 

Define inverse matrix and discuss its properties.

Solve the following equation using Cramer’s rule:

2x+y-z=3; x+y+z=1; x-2y-3z=4

Using the data given below calculate price index numbers for the year 2020 by i) Laspeyre’s formula and ii) Paasche’s formula with the year 2010 as base

Absolute and Relative measure of dispersion