A real estate company wants to create a model to predict house prices based on the size of the house. They collect data from three recent sales. There are two features: size (hundreds of sq ft) and number of bedrooms. The data-matrix 
and the price vector 
(in hundreds of thousands of rupees) are:
The objective is to find the weight vector 
that minimizes the sum of squared errors given by the loss function:
If 
is the value that minimizes 
, then which of the following is 
?
Let 
. Find the directional derivative of at the point 
in the direction of unit vector along 
.
Consider the convex hull of the set of points 
. Which of the following points belongs to the convex hull?
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The IIT Madras BS Machine Learning Foundations (MLF) End Term paper sat on 21 Dec 2025, in the September 2025 term (T3 2025), set 2: 15 questions for 40 marks in 180 minutes. The first 3 questions are below. Sign in with Google — it is free — to see the whole paper with its answers and explanations, in learning mode or as a timed mock test.
| Feature | MLF End Term 21 Dec 2025 Set 2 at a glance |
|---|---|
| Term | September 2025 term (T3 2025) |
| Subject | Machine Learning Foundations |
| Course code | BSCS2004 |
| Questions | 15 |
| Marks | 40 |
| Duration | 180 min |
| MCQ | 7 |
| MSQ | 1 |
| Numerical | 7 |
| Official paper | Machine Learning Foundations 18 Dec 25 |
| Negative marking | No negative marking. |
| Updated |
