Question 5 For a simple linear regression model Y₁ = a + Bxi + Ei, we have collected 15 samples. Suppose that we have = 0.85, Y 46.74. When proofreading, we found that one data point is recorded incorrectly. The correct data is (1.2, 32.6), which is = 25.60, Sax = 19.56, Say = 32.54, SYY = recorded as (1.5, 32.3). 1 Find the correct OLS estimators for a and 3. Test Ho 30 versus H₁B #0 at a = 0.01. : 2

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Question 5
For a simple linear regression model Y₁ = a + 3x₁ + Ei, we have collected 15 samples. Suppose
that we have x = 0.85, Y = 25.60, Sex = 19.56, Say = 32.54, Syy: 46.74. When proofreading,
we found that one data point is recorded incorrectly. The correct data is (1.2, 32.6), which is
=
recorded as (1.5, 32.3).
1
Find the correct OLS estimators for a and B.
Test Ho 30 versus H₁B #0 at a = 0.01.
=
:
2
Transcribed Image Text:Question 5 For a simple linear regression model Y₁ = a + 3x₁ + Ei, we have collected 15 samples. Suppose that we have x = 0.85, Y = 25.60, Sex = 19.56, Say = 32.54, Syy: 46.74. When proofreading, we found that one data point is recorded incorrectly. The correct data is (1.2, 32.6), which is = recorded as (1.5, 32.3). 1 Find the correct OLS estimators for a and B. Test Ho 30 versus H₁B #0 at a = 0.01. = : 2
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