Least squares criterion — minimising the sum of squared residuals Previous Year Questions | Prasnya
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Least squares criterion...
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Q1
Radhika has been tracking her monthly expenses and the corresponding number of outings she has with friends. Here is a table with two rows representing the amount spent on entertainment and the corresponding number of outings. Let
y
y
be the amount spent and
x
x
be the corresponding number of outings. She fitted a best fit line to her data and obtained the equation
y
=
4
x
+
15
y=4x+15
. What is the value of SSE (Sum of Squared Errors) in relation to the best fit line?
Integer answer
JULY 07, 2024
JULY 07, 2024
Q2
Suppose the line
y
=
2
x
+
k
y=2x+k
is the best fit line using SSE for the data set given in Table 1 for some
k
∈
R
k\in\mathbb{R}
. Find the value of
16
k
16k
.
Integer answer
JULY 16, 2023
JULY 16, 2023
Q3
Sushmita was calculating SSE (sum squared error) and she found that SSE is a function of
a
a
as follows:
S
S
E
=
f
(
a
)
=
a
2
−
8
a
+
30
SSE=f(a)=a^2-8a+30
. What will be the best fit value?
Multiple correct
OCTOBER 16, 2022
OCTOBER 16, 2022
