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Question 263 MCQ · 0.0 marks
Cheat Sheet:
1. Model:
Yi = Bot Bray + i,
with ¢; being iid Normal(0, 0”).
2. Estimators:
Ss a x
hela a v) = ccna sa Po=9- fit
We had shown that
By =
n
E(B) = ;, RSS = Residual Sum of Squares := Yi a by = Bix? and
il
E[RSS] = (n— 2)0?.
3. Distribution:
* oe RSS
Bi ~ Normal(1, 3) EY Naa
RSS and A are independent and thus
bi - B1
~ tha.
/_RSS
(n-2)Sz,
4. Hypothesis Testing:
(a) t-test
i. Decide on level of significance: a
ii. Null Hypothesis: 8, = 0
iii. Alternate Hypothesis: 3; 4 0
BiB
a
CE
iv. Test Statistic: T :=
v. Compute p-value:
P(| tna |2| T |)
vi. Reject Null Hypothessis:
if p-value is less than a
(b) F-test
Yi -9P = Yu —Hyr+ Yi -y
i=1 i=l i=l
(SStotal = RSS + SSpog)
i. RSS and SSReg are independent.
ii. Decide on level of significance: a
iii. Null Hypothesis: 3; = 0
iv. Alternate Hypothesis: 3, 4 0
Sp.
n—2
v. Test Statistic: F :=
vi. Compute p-value:
P(F(1,n — 2) > F)
vii. Reject Null Hypothesis:
if p-value is less than a
6406531895424.
Useful Data has been mentioned above.
6406531895425.
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**Sw Engg**
**Section Id :** 64065338440
**Section Number :** 13
**Section type :** Online
**Mandatory or Optional :** Mandatory
**Number of Questions :** 27
**Number of Questions to be attempted :** 27
**Section Marks :** 100
**Display Number Panel :** Yes
**Group All Questions :** No
**Enable Mark as Answered Mark for Review and**
Yes
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**Maximum Instruction Time :** 0
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