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Q1:

2025: 13 May Shift 2

Trends & Data

Easy

Applied

When data of the variable is collected at distinct time intervals for a specified period of time, it is called

Answer options
Option 2
Correct Answer
Explanation for 2025: 13 May Shift 2 MAT question 1

Q2:

2025: 13 May Shift 1

Trends & Data

Medium

Applied

Which of the following statements are correct?

(A) The method of least squares determines the position of the trend line of the given time series.

(B) The trend line is called the line of best fit.

(C) The line of best fit is a line in which the sum of deviations of the actual values of the variable from their corresponding trend value is always positive.

(D) The normal equations of the trend line y=a+bxy = a + bx are ∑y=na+b∑x\sum y = na + b \sum x and ∑xy=a∑x+b∑x2\sum xy = a \sum x + b \sum x^2, where nn is the numbers of observations.

Choose the correct answer from the options given below:

Answer options
Option 2
Correct Answer
Explanation for 2025: 13 May Shift 1 MAT question 2

Q3:

2025: 13 May Shift 1

Trends & Data

Medium

Applied

If y=38.85+7.64(x−2020)y = 38.85 + 7.64(x - 2020) is the equation of the straight line trend for the following data:

Year (x)(x)2017201820192020202120222023
Profit (Rs. '000) (y)(y)14302644385664

The trend value for the year 2021 by least square method is:

Answer options
Option 2
Correct Answer
Explanation for 2025: 13 May Shift 1 MAT question 3

Q4:

2025: 13 May Shift 1

Trends & Data

Easy

Applied

In which of the following, the time series may show the gradual shifts to relatively higher or lower values over a long period of time?

Answer options
Option 4
Correct Answer
Explanation for 2025: 13 May Shift 1 MAT question 4

Q5:

2025: 13 May Shift 1

Trends & Data

Medium

Applied

In the month of January, the number of cases diagnosed of influenza epidemic are given in the following table

Date1234567
Number of cases20512202746

The 3-day moving averages are:

Answer options
Option 4
Correct Answer
Explanation for 2025: 13 May Shift 1 MAT question 5

Q6:

2024: 16 May Shift 1

Trends & Data

Conceptual

Applied

For the given five values 12,15,18,24,3612,15,18,24,36; the three-year moving averages are :

Answer options
Option 3
Correct Answer
Explanation for 2024: 16 May Shift 1 MAT question 6

Q7:

2024: 16 May Shift 1

Trends & Data

Easy

Applied

Which of the following are components of a time series ?

(A) Irregular component

(B) Cyclical component

(C) Chronological Component

(D) Trend Component

Choose the correct answer from the options given below :

Answer options
Option 1
Correct Answer
Explanation for 2024: 16 May Shift 1 MAT question 7