Consider the following sample data: y 46 52 31 60 21 61 45 56 x1 41 43 28 60 32
ID: 3390962 • Letter: C
Question
Consider the following sample data:
y 46 52 31 60 21 61 45 56
x1 41 43 28 60 32 68 48 37
x2 12 19 19 17 28 29 25 13
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a-1. Estimate a multiple linear regression model. (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)
y-hat = ?+ ?x1 + ?x2
a-2. Interpret its coefficients x1.
A. As x1 increases by one unit, y is predicted to decrease by 27.53 units, holding x2 constant.
B. As x1 increases by one unit, y is predicted to increase by 0.96 units, holding x2 constant.
C. As x1 increases by one unit, y is predicted to increase by 27.53 units, holding x2 constant.
D. As x1 increases by one unit, y is predicted to decrease by 0.96 units, holding x2 constant.
a-3. Interpret its coefficients x2.
A. As x2 increases by one unit, y is predicted to decrease by 1.19 units, holding x1 constant.
B. As x2 increases by one unit, y is predicted to increase by 1.19 units, holding x1 constant.
C. As x2 increases by one unit, y is predicted to increase by 27.53 units, holding x1 constant.
D. As x2 increases by one unit, y is predicted to decrease by 27.53 units, holding x1 constant.
Explanation / Answer
Using technology, we get the following results:
Thus,
a-1.
Thus,
yhat = 27.53 + 0.96 x1 - 1.19 x2 [ANSWER]
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a-2.
B. As x1 increases by one unit, y is predicted to increase by 0.96 units, holding x2 constant. [ANSWER]
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a-3.
A. As x2 increases by one unit, y is predicted to decrease by 1.19 units, holding x1 constant. [ANSWER]
Coefficients Intercept 27.53471 X Variable 1 0.963185 X Variable 2 -1.18602