Distrust of statistics

Properties of matrix multiplication

Define correlation and regression and explain the relationship between correlation and regression coefficients.

What is index number? Discuss the three principal types of indices

Briefly explain the functions related to business and economics.

Define inverse matrix and discuss its properties.

Discuss the types of discounts

Find the limit of the following function:

lim x --> ∞(x+1) (2x+3)

(x+2) (3x+4)

Solve the following equation using Cramer’s rule:

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

Calculate the trend values by the method of least square from the following data and estimate the sales for the year 2025.

From the following data calculate:

a. Coefficient of correlation

b. Standard deviation of Y

X=0.854Y; Y=0.89X; σ_x =3

Compute median from the following data

Write the reaction of formation of maltose from its monomers giving appropriate structures with proper labeling.

Differentiate between reducing and non-reducing sugars giving one example of each type.

Write the reactions involved when -D-glucose is treated with excess of acetic anhydride in the presence of pyridine.

Explain the formation of methyl glycoside of- and- D-glucose. Also give their structures.

Explain Edman degradation giving the reactions involved in it. Give the advantage of this method.

Discuss ninhydrin test giving the reactions involved.

How will you synthesise valine using Gabriel phthalimide synthesis? Explain giving the sequence of reactions involved.

How can you prepare 1,3,5-tribromobenzene? Why it cannot be prepared by bromination of benzene ?