Question: Consider the regression model below and let left parenthesis Upper X Subscript i comma Upper Y Subscript i right parenthesis comma i equals 1 comma
Consider the regression model below and let
left parenthesis Upper X Subscript i comma Upper Y Subscript i right parenthesis comma i equals 1 comma ... comma n be an i.i.d. set of observations.
Upper Y Subscript i equals beta 0 plus beta 1 Upper X Subscript i plus u Subscript i
Specify the order of the 3 steps required to test the null hypothesis that the slope coefficient
beta 1 equals zero? That is, Upper H 0 : beta 1 equals 0
A.
Compute the t minus stastistic comma t equals StartFraction ModifyingAbove beta 1 with caret Superscript act Baseline minus 0 Over SE left parenthesis ModifyingAbove beta 1 with caret Superscript act Baseline right parenthesis EndFraction. box=
B.
Compute the standard error of the estimated slope coefficient ModifyingAbove beta 1 with caret Superscript act Baseline comma SE left parenthesis ModifyingAbove beta 1 with caret Superscript act Baseline right parenthesis equals StartRoot ModifyingAbove sigma with caret Subscript ModifyingAbove beta with caret 1 Superscript 2 EndRoot.box=
C.
Compute the p minus value comma Pr Subscript Upper H 0 Baseline left parenthesis StartAbsoluteValue t EndAbsoluteValue greater than StartAbsoluteValue t Superscript act EndAbsoluteValue right parenthesis. box=
(Enter 1, 2 or 3 in each box)
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