Question

Complete the missing information for this regression model. Note:   N=24N=24.

Y^	=	31.418	+	2.144X1	−-	0.678X2	+	here X3
		2.258		1.558		0.433		2.118	Standard Errors
		13.914		1.376		-1.566		here	t-ratios
				here		here		0.192	P-values

(Except for P-values, report all values accurate to 3 decimal places. For P-values, report accurate to 4 decimal places.)

Please answer the ones with "here" included thank you!

Complete the missing information for this regression model. Note:   N=24

Answer 1

Y^	=	31.418	+	2.144X1	−-	0.678X2	+	here (iv) X3
		2.258		1.558		0.433		2.118	Standard Errors
		13.914		1.376		-1.566		here (iii)	t-ratios
				here (i)		here (ii)		0.192	P-values

here (i)

Degree of freedom = N - k - 1 where k is number of predictors

= 24 - 3 - 1 = 20

P-value = 2 * P(t > |1.376|) = 2 * P(t > 1.376) = 0.1840

here (ii)

For degree of freedom = 23,

P-value = 2 * P(t > |-1.566|) = 2 * P(t > 1.566) = 0.1330

here (iii)

For two-sided tests,

2 * P(t > t-ratios) = 0.192

P(t > t-ratios) = 0.096

For df = 20,

t-ratios = 1.350

here (iv)

Coeff / Standard Errors = t-ratios

=> Coeff =  Standard Errors * t-ratios = 2.118 * 1.350 = 2.859