A researcher is interested in developing a model that
can be used to distribute assistance to low-income families for
food costs. She used data from a national social survey to predict
weekly amount spent on food using household income (in $1000). The
resulting regression equation is ModifyingAbove Food divided by wk
with caret equals 101.33 plus 0.77
HIncome.Food/wk=101.33+0.77HIncome. How much money would be needed
to feed a family for a week whose household income is
$12,000?
A.
$193.73
B.
$110.57
C.
$871.33
D.
$9341.33
The correct option is B. $110.57. [ANSWER]
Explanation:
We are given the following regression equation:
Food/wk (in $) = 101.33 + 0.77*Household Income(in $1000)
Now, if we want to find how much money would be needed to feed a family for a week whose household income is $12,000, we replace the 'Household Income' in the above equation by 12 and we get:
Food/wk (in $) = 101.33 + 0.77*12 = 101.33 + 9.24 = $ 110.57 [ANSWER]
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