Suppose that

left parenthesis Upper Y Subscript i comma Upper X Subscript i right parenthesisYi, Xi

satisfy the assumptions specified here

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and in addition,

u Subscript iui

is

Upper N left parenthesis 0 comma sigma Subscript u Superscript 2 right parenthesisN 0, 2u

and independent of

Upper X Subscript iXi.

A random sample of n =

1313

is drawn and yields

ModifyingAbove Upper Y with caret equals 57.23 plus 60.41 Upper XY=57.23+60.41X, Upper R squared equals 0.65R2=0.65, SER = 1.31.3
(9.79.7) (5.45.4)

Where the numbers in parentheses are the homoskedastic-only standard errors for the regression coefficients

ModifyingAbove beta with caret 00

and

ModifyingAbove beta with caret 11

respectively. Refer to the student t distribution with n

dash

2 degrees of freedom to answer the following questions.

Construct a 95% confidence interval for

beta 00

using the student t distribution (with n

dash

2 degrees of freedom) table available here

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.

The 95% confidence interval for

beta 00

is