Mathematics for Data Science I · Qualifier · 13 Apr 2025 · January 2025 term

Question 4: Mrs. Riya is a researcher, she does research on the decay…

Question 4

+5 marksOne or more correct options

Mrs. Riya is a researcher, she does research on the decay of the quality of mango. She proposed 5 models:

$M_1 : y = -2x + 18$
$M_2 : y = 1.5x + 20$
$M_3 : y = -1.2x + 20$
$M_4 : y = -1.5x + 20$
$M_5 : y = 1.2x + 15$

In these models, y indicates a quality factor (or decay factor) which is dependent on x number of days. The value of y varies between 0 and 20, where the value 20 denotes that the fruit has no decay and y = 0 means that it has completely decayed. While formulating a model she has to make sure that on the 0th day the mango has no decay. The quality factor (or decay factor) y values on xth day are shown in Table 1.

Table: 1

x	y
5	14
8	10
10	8
15	2

Which of the following options is/are correct?

Select all that apply.

A
M3 has the lowest SSE
B
M4 is a better model compared to M1, M2 and M5
C
M5 is a better model compared to M1, M2 and M3
D
M4 has the lowest SSE

Show answer

Correct answers

A
M3 has the lowest SSE
B
M4 is a better model compared to M1, M2 and M5

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Question 4 of 13 in the IIT Madras BS Mathematics for Data Science I (Maths 1) Qualifier paper sat on 13 Apr 2025, in the January 2025 term (IIT M DS REATTEMPT AN EXAM QDQ1 13 Apr 2025). It carries 5 marks.

Question 4: Mrs. Riya is a researcher, she does research on the decay…

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