Suppose that (Y, X;) satisfy the assumptions specified here. A random sample of n = 462...
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Suppose that (Y₁, X;) satisfy the assumptions specified here. A random sample of n = 462 is drawn and yields Y= = 9.08 +5.74X, R² = 0.37, SER = 5.3 (1.7) (2.4) Where the numbers in parentheses are the standard errors of the estimated coefficients = 9.08 and ₁ = 5.74 respectively. Suppose you wanted to test that B₁ is zero at the 5% level. That is, Ho: B₁ = 0 vs. H₁: B₁ #0 Report the t-statistic and p-value for this test. The t-statistic is (Round your response to two decimal places) The Least Squares Assumptions Y₁ = Bo + B₁X₁ + U₁, i = 1,..., n, where 1. The error term u; has conditional mean zero given X,;: E(u;X;) = 0; 2. (Y₁, X₁),i= 1,..., n, are independent and identically distributed (i.i.d.) draws from their joint distribution; and 3. Large outliers are unlikely: X; and Y; have nonzero finite fourth moments. Suppose that (Y₁, X;) satisfy the assumptions specified here. A random sample of n = 462 is drawn and yields Y= = 9.08 +5.74X, R² = 0.37, SER = 5.3 (1.7) (2.4) Where the numbers in parentheses are the standard errors of the estimated coefficients = 9.08 and ₁ = 5.74 respectively. Suppose you wanted to test that B₁ is zero at the 5% level. That is, Ho: B₁ = 0 vs. H₁: B₁ #0 Report the t-statistic and p-value for this test. The t-statistic is (Round your response to two decimal places) The Least Squares Assumptions Y₁ = Bo + B₁X₁ + U₁, i = 1,..., n, where 1. The error term u; has conditional mean zero given X,;: E(u;X;) = 0; 2. (Y₁, X₁),i= 1,..., n, are independent and identically distributed (i.i.d.) draws from their joint distribution; and 3. Large outliers are unlikely: X; and Y; have nonzero finite fourth moments.
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Probability and Statistics
ISBN: 978-0321500465
4th edition
Authors: Morris H. DeGroot, Mark J. Schervish
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