تم الحل ✓
categoryتحليل البيانات وعلم البيانات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
(b) Use a graphing utility to find the quadratic function of best fit that models the relation between age and median income.
The quadratic function of best fit is y = -45.286 x2 + 4312.699x-56461.857.
(Type integers or decimals rounded to three decimal places as needed.)
(c) Use the function found in part (b) to determine the age at which an individual can expect to earn the most income.
At about 47.6 years of age, the individual can expect to earn the most income.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
(d) Use the function in part (b) to predict the peak income earned.
The predicted peak income is about $ 46,215.
(Round to the nearest dollar as needed.)
(e) With a graphing utility, graph the quadratic function of best fit on the scatter diagram.
Which of the following shows the quadratic function of best fit?
An individual's income varies with age. The table
shows the median income I of individuals of
different age groups within the United States for
a certain year. For each age group, let the class
midpoint represent the independent variable x.
For the class "65 years and older," assume that
the class midpoint is 69.5.
Complete parts (a) through (e).
Class
Median
Age
Midpoint, x Income, I
15-24 years
19.5
$10,963
25-34 years
29.5
$31,130
35-44 years
39.5
$43,638
45-54 years
49.5
$46,693
55-64 years
59.5
$42,478
65 years and older
69.5
$22,500
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