statistics ques

10.1.2

Table
#10.1.6 contains the value of the house and the amount of rental income
in a year that the house brings in (“Capital and rental,” 2013). Create
a scatter plot and find a regression equation between house value and
rental income. Then use the regression equation to find the rental
income a house worth $230,000 and for a house worth $400,000. Which
rental income that you calculated do you think is closer to the true
rental income? Why?

Table #10.1.6: Data of House Value versus Rental

10.1.4

The
World Bank collected data on the percentage of GDP that a country
spends on health expenditures (“Health expenditure,” 2013) and also the
percentage of woman receiving prenatal care (“Pregnant woman receiving,”
2013). The data for the countries where this information are available
for the year 2011 is in table #10.1.8. Create a scatter plot of the data
and find a regression equation between percentage spent on health
expenditure and the percentage of woman receiving prenatal care. Then
use the regression equation to find the percent of woman receiving
prenatal care for a country that spends 5.0% of GDP on health
expenditure and for a country that spends 12.0% of GDP. Which prenatal
care percentage that you calculated do you think is closer to the true
percentage? Why?

Table #10.1.8: Data of Heath Expenditure versus Prenatal Care

For
each problem, state the random variables. Also, look to see if there
are any outliers that need to be removed. Do the correlation analysis
with and without the suspected outlier points to determine if their
removal affects the correlation. The data sets in this section are in
section 10.1.

10.2.2

Table
#10.1.6 (from problem 10.1.2) contains the value of the house and the
amount of rental income in a year that the house brings in (“Capital and
rental,” 2013). Find the correlation coefficient and coefficient of
determination and then interpret both.

10.2.4

The
World Bank collected data on the percentage of GDP that a country
spends on health expenditures (“Health expenditure,” 2013) and also the
percentage of woman receiving prenatal care (“Pregnant woman receiving,”
2013). The data for the countries where this information is available
for the year 2011 are in table #10.1.8 (from problem 10.1.4). Find the
correlation coefficient and coefficient of determination and then
interpret both.

For each problem, state the random
variables. The data sets in this section are in the homework for section
10.1 and were also used in section 10.2. If you removed any data points
as outliers in the other sections, remove them in this sections
homework too.

10.3.2

Table
#10.1.6 (from problem 10.1.2) contains the value of the house and the
amount of rental income in a year that the house brings in (“Capital and
rental,” 2013).

a.) Test at the 5% level for a positive correlation between house value and rental amount.

b.) Find the standard error of the estimate.

c.) Compute a 95% prediction interval for the rental income on a house worth $230,000.

10.3.4

The
World Bank collected data on the percentage of GDP that a country
spends on health expenditures (“Health expenditure,” 2013) and also the
percentage of woman receiving prenatal care (“Pregnant woman receiving,”
2013). The data for the countries where this information is available
for the year 2011 are in table #10.1.8 (from problem 10.1.4).

a.)
Test at the 5% level for a correlation between percentage spent on
health expenditure and the percentage of woman receiving prenatal care.

b.) Find the standard error of the estimate.

c.)
Compute a 95% prediction interval for the percentage of woman receiving
prenatal care for a country that spends 5.0 % of GDP on health
expenditure.

In each problem show all steps of the
hypothesis test. If some of the assumptions are not met, note that the
results of the test may not be correct and then continue the process of
the hypothesis test.

11.1.2

Researchers
watched groups of dolphins off the coast of Ireland in 1998 to
determine what activities the dolphins partake in at certain times of
the day (“Activities of dolphin,” 2013). The numbers in table #11.1.6
represent the number of groups of dolphins that were partaking in an
activity at certain times of days. Is there enough evidence to show that
the activity and the time period are independent for dolphins? Test at
the 1% level.

Table #11.1.6: Dolphin Activity

11.1.4

A
person’s educational attainment and age group was collected by the U.S.
Census Bureau in 1984 to see if age group and educational attainment
are related. The counts in thousands are in table #11.1.8 (“Education by
age,” 2013). Do the data show that educational attainment and age are
independent? Test at the 5% level.

Table #11.1.8: Educational Attainment and Age Group

In
each problem show all steps of the hypothesis test. If some of the
assumptions are not met, note that the results of the test may not be
correct and then continue the process of the hypothesis test.

11.2.4

In
Africa in 2011, the number of deaths of a female from cardiovascular
disease for different age groups are in table #11.2.6 (“Global health
observatory,” 2013). In addition, the proportion of deaths of females
from all causes for the same age groups are also in table #11.2.6. Do
the data show that the death from cardiovascular disease are in the same
proportion as all deaths for the different age groups? Test at the 5%
level.

Table #11.2.6: Deaths of Females for Different Age Groups

11.2.6

A
project conducted by the Australian Federal Office of Road Safety asked
people many questions about their cars. One question was the reason
that a person chooses a given car, and that data is in table #11.2.8
(“Car preferences,” 2013).

Table #11.2.8: Reason for Choosing a Car

Do
the data show that the frequencies observed substantiate the claim that
the reason for choosing a car are equally likely? Test at the 5% level.