Question

The least-squares regression equation is

ModifyingAbove y with caretyequals=731.9731.9xplus+14 comma 71114,711

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

0.76930.7693.

Complete parts(a) through (d).

Bachelor's %Median Income

A scatter diagram has a horizontal axis labeled Bachelor's % from 15 to 60 in increments of 5 and a vertical axis labeled Median Income from 20000 to 55000 in increments of 5000. Points are scattered around a line that rises from left to right and has a slope of about 700.(a) Predict the median income of a region in which

2020%

of adults 25 years and older have at least a bachelor's degree.

$nothing

(Round to the nearest dollar as needed.)(b) In a particular region,

28.428.4

percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is

$38 comma 74038,740.

Is this income higher than what you would expect? Why?This is

▼

higher

lower

than expected because the expected income is

$nothing

(Round to the nearest dollar as needed.)

(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 every percent increase in adults having at least a bachelor's degree, the median income increases by

$nothing,

on average.

B.For every dollar increase in median income, the percent of adults having at least a bachelor's degree is

nothing%,

on average.

C.For 0% of adults having a bachelor's degree, the median income is predicted to be

$nothing.

D.For a median income of $0, the percent of adults with a bachelor's degree is

nothing%.

(d) Explain why it does not make sense to interpret the y-intercept. Choose the correct answer below.

A.

It does not make sense to interpret the y-intercept because an x-value of 0 is outside the scope of the model.

B.

It does not make sense to interpret the y-intercept because an x-value of 0 does not make sense.

C.

It does not make sense to interpret the y-intercept because a y-value of 0 is outside the scope of the model.

D.

It does not make sense to interpret the y-intercept because a y-value of 0 does not make sense.

Answer #1

A)The median income of a region in which 20%of adults 25 years and older have at least a bachelor's degree is 14711+731.9(20)= $ 29,349

B)In a particular region,28.4 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $38,740.This income is higher than expected because the expected income is $ 35,450.

C)The slope is interpreted as A.For every percent increase in adults having at least a bachelor's degree, the median income increases by $731.9

D)B. It does not make sense to interpret the y-intercept because an x-value of 0 does not make sense.

Find the equation of the regression line for the given data.
Then construct a scatter plot of the data and draw the regression
line. (The pair of variables have a significant correlation.)
Then use the regression equation to predict the value of y for each
of the given x-values, if meaningful. The table below shows the
heights (in feet) and the number of stories of six notable
buildings in a city.
Height comma xHeight, x
768
628
518
511
491...

The accompanying data represent the number of days absent, x,
and the final exam score, y, for a sample of college students in a
general education course at a large state university. Complete
parts (a) through (e) below.
Absences and Final Exam Scores
No. of absences, x
0
1
2
3
4
5
6
7
8
9
Final exam score, y
89.6
87.3
83.4
81.2
78.7
74.3
64.5
71.1
66.4
65.6
Critical Values for Correlation Coefficient
n
3
0.997
4...

Question 1:
The data table shows the sugar content of a fruit (Sugar) for
different numbers of days after picking (Days).
Days
Sugar
0
7.9
1
12.0
3
9.5
4
11.3
5
11.8
6
10.3
7
4.2
8
0.8
HAND CALCULATIONS:
The dependent (Y) variable is sugar content and the independent
(X) variable is number of days after picking (Days).
Do the following by hand, SHOWING WORK. You may use SAS/R to
check your answers if you want.
(a) Find...

Total utility can be objectively measured in numbers that
indicate usefulness or benefit to the consumer.
____ 2. Consumers should purchase quantities of a good to the
point where MU > P.
____ 3. Voluntary exchange requires that there must be mutual
gain.
____ 4. Points along a budget line represent the maximum
combinations of two commodities that a consumer can afford.
____ 5. The budget line represents a consumer's preferences
for a commodity.
____ 6. A change in consumer...

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