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The Linear Regression Equation, Y = a + BX, Was

Question 35

Multiple Choice


The linear regression equation, Y = a + bX, was estimated. The following computer printout was
obtained:
 DEPENDENT VARIABLE:  Y  R-SQUARE  F-RATIO  P-VALUE ON F  OBSERVATIONS: 180.30667.0760.0171\begin{array}{rllll}\text { DEPENDENT VARIABLE: } & \text { Y } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ON F } \\\text { OBSERVATIONS: } &18 & 0.3066 & 7.076 & 0.0171\end{array}

 VARIABLE  PARAMETER  ESTIMATE  STANDARD  ERROR  T-RATIO  P-VALUE  INTERCEPT 15.485.093.040.0008X21.368.032.660.0171\begin{array}{lllll}\text { VARIABLE } & \begin{array}{llll}\text { PARAMETER } \\\text { ESTIMATE }\end{array} & \begin{array}{l}\text { STANDARD } \\\text { ERROR }\end{array} & \text { T-RATIO } & \text { P-VALUE } \\\text { INTERCEPT } & 15.48 & 5.09 & 3.04 & 0.0008\\X&-21.36&8.03&-2.66&0.0171\end{array}
-The parameter estimate of b indicates


A) X increases by 8.03 units when Y increases by one unit.
B) X decreases by 21.36 units when Y increases by one unit.
C) Y decreases by 2.66 units when X increases by one unit.
D) a 10-unit decrease in X results in a 213.6 unit increase in Y.

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