The least-squares regression equation is y = 709.1x + 14,344 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7637. Complete parts (a) through (d). C Median Income This is (Round to the nearest dollar as needed.) than expected because the expected income is $ 55000- 20000- 15 20 25 30 35 40 45 50 55 60 Bachelor's % (a) Predict the median income of a region in which 25% of adults 25 years and older have at least a bachelor's degree. $ (Round to the nearest dollar as needed.) (b) In a particular region, 26.8 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $36,668. Is this income higher than what you would expect? Why? o (c) Interpret the slope. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal. Do not round.) A. For a median income of $0, the percent of adults with a bachelor's degree is %. B. For 0% of adults having a bachelor's degree, the median income is predicted to be $ C. For every percent increase in adults having at least a bachelor's degree, the median income increases by $, on average.

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The least-squares regression equation is
y = 709.1x + 14,344 where y is the median income and x is
the percentage of 25 years and older with at least a
bachelor's degree in the region. The scatter diagram
indicates a linear relation between the two variables with a
correlation coefficient of 0.7637. Complete parts (a)
through (d).
than expected because the expected income is $
Median Income
This is
(Round to the nearest dollar as needed.)
55000-
20000+
X
15 20 25 30 35 40 45 50 55 60
Bachelor's %
(a) Predict the median income of a region in which 25% of adults 25 years and older have at least a bachelor's degree.
$
(Round to the nearest dollar as needed.)
(b) In a particular region, 26.8 percent of adults 25 years and older have at least a bachelor's degree. The median
income in this region is $36,668. Is this income higher than what you would expect? Why?
O
(c) Interpret the slope. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal. Do not round.)
O A. For a median income of $0, the percent of adults with a bachelor's degree is %.
O B. For 0% of adults having a bachelor's degree, the median income is predicted to be $
C. For every percent increase in adults having at least a bachelor's degree, the median income increases by
on average.
$
N
Transcribed Image Text:The least-squares regression equation is y = 709.1x + 14,344 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7637. Complete parts (a) through (d). than expected because the expected income is $ Median Income This is (Round to the nearest dollar as needed.) 55000- 20000+ X 15 20 25 30 35 40 45 50 55 60 Bachelor's % (a) Predict the median income of a region in which 25% of adults 25 years and older have at least a bachelor's degree. $ (Round to the nearest dollar as needed.) (b) In a particular region, 26.8 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $36,668. Is this income higher than what you would expect? Why? O (c) Interpret the slope. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal. Do not round.) O A. For a median income of $0, the percent of adults with a bachelor's degree is %. O B. For 0% of adults having a bachelor's degree, the median income is predicted to be $ C. For every percent increase in adults having at least a bachelor's degree, the median income increases by on average. $ N
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