Question

A magazine publishes the top 100 companies to work for every year, which includes the percentage growth in jobs at each company. The output to the right shows the regression of the 2012 job growth (%) on the 2010 job growth. Use the output to the right to complete parts a) through d).

Dependent variable is: Job Growth 2012

R-squaredequals22.9%

s=9.974 with 28-2=26 degrees of freedom

Variable Coefficient SE(Coeff) t-Ratio P-Value

Intercept 2.507 1.437 1.74 0.0937

Job Growth 0.312 0.258 1.21 0.2372

2010

a) State the hypotheses about the slope (both numerically and in words).

Upper H 0: The job growth in 2012 is not or is related to the job growth in 2010: beta1 ▼ not equals or equals 0.

Upper H Subscript Upper A: The job growth in 2012 ▼ is not or is related to the job growth in 2010: beta1 ▼ not equals or equals 0.

b) Assuming that the assumptions for inference are satisfied, perform the hypothesis test and state your conclusion in context. Assume alphaequals0.05.

Identify the test statistic.

The test statistic is (____) (Do not round.)

Identify the P-value.

P-value=(____)(Do not round.)

State your conclusion in context. Choose the correct answer below.

The ▼ low or high P-value indicates there ▼ is insufficient or is sufficient evidence of a linear relationship between the job growth values.

c) Explain what the R-squared in this regression means. Choose the correct answer below.

A. Overall, the job growth in 2010 is 22.9% of the job growth in 2012.

B. 22.9% of the variation in the job growth in 2012 is accounted for by the job growth in 2010.

C. 22.9% of the variation in the job growth in 2010 is accounted for by the job growth in 2012.

D. Overall, the job growth in 2012 is 22.9% of the job growth in 2010.

d) Do these results indicate that, in general, companies with a higher job growth in 2010 had a higher job growth in 2012? Explain.

A. Yes, because there is significant evidence of a linear relationship with a negative slope.

B. Yes, because there is significant evidence of a linear relationshipnbsp with a positive slope.

C. No, because there is insufficient evidence of a linear relationship.

D. No, because there is insufficient evidence of a linear relationship, but the slope is negative. .

Answer #1

a)

The hypotheses are:

H0: The job growth in 2012 is not related to the job growth in 2010.

Ha: The job growth in 2012 is related to the job growth in 2010.

In symbols:

b)

The test statistic is

t = 0.258

The p-value is: 0.2372

Since p-value is greater than 0.05 so we fail to reject the null hypothesis.

The high P-value indicates there is insufficient evidence of a linear relationship between the job growth values.

c)

B. 22.9% of the variation in the job growth in 2012 is accounted for by the job growth in 2010.

d)

C. No, because there is insufficient evidence of a linear relationship.

Profitability remains a challenge for banks and thrifts with
less than $2 billion of assets. The business problem facing a bank
analyst relates to the factors that affect return on assets (ROA),
an indicator of how profitable a company is relative to its total
assets. Data collected from a sample of 203 community banks include
the ROA (%), the efficiency ratio (%), as a measure of bank
productivity (the lower the efficiency ratio, the better), and
total risk-based capital (%),...

The following table shows the weights (in pounds) and the
number of hours slept in a day by a random sample of infants. Test
the claim that M not equals ≠0. Use alpha α equals = 0.1 0.1. Then
interpret the results in the context of the problem. If
convenient, use technology to solve the problem. LOADING... Click
the icon to view more information about hypothesis testing for
slope. Weight, x 8.2 8.2 10.1 10.1 9.9 9.9 7.2 7.2 6.9...

A psychologist obtains a random sample of 20 mothers in the
first trimester of their pregnancy. The mothers are asked to play
Mozart in the house at least 30 minutes each day until they give
birth. After 5 years, the child is administered an IQ test. It is
known that IQs are normally distributed with a mean of 100. If the
IQs of the 20 children in the study result in a sample mean of
104.4 and sample standard deviation...

A simple random sample of size nequals15 is drawn from a
population that is normally distributed. The sample mean is found
to be x overbarequals19.6 and the sample standard deviation is
found to be sequals6.3. Determine if the population mean is
different from 26 at the alpha equals 0.01 level of significance.
Complete parts (a) through (d) below. (a) Determine the null and
alternative hypotheses. Upper H 0: ▼ sigma mu p ▼ equals greater
than not equals less than...

A simple random sample of size nequals15 is drawn from a
population that is normally distributed. The sample mean is found
to be x overbarequals21.8 and the sample standard deviation is
found to be sequals6.3. Determine if the population mean is
different from 24 at the alpha equals 0.01 level of significance.
Complete parts (a) through (d) below. (a) Determine the null and
alternative hypotheses. Upper H 0: ▼ mu sigma p ▼ less than equals
greater than not equals...

A random sample of leading companies in South Korea gave the
following percentage yields based on assets.
2.1
1.9
4.2
1.2
0.5
3.6
2.4
0.2
1.7
1.8
1.4
5.4
1.1
Use a calculator to verify that s2 ≈ 2.200
for these South Korean companies.
Another random sample of leading companies in Sweden gave the
following percentage yields based on assets.
2.9
3.7
3.3
1.1
3.5
2.8
2.3
3.5
2.8
Use a calculator to verify that s2 ≈ 0.642
for these...

A simple random sample of size
nequals=200200
drivers were asked if they drive a car manufactured in a certain
country. Of the
200200
drivers surveyed,
103103
responded that they did. Determine if more than half of all
drivers drive a car made in this country at the
alpha equals 0.05α=0.05
level of significance. Complete parts (a) through
(d).
(a) Determine the null and alternative hypotheses.
Upper H 0H0:
▼
pp
muμ
sigmaσ
▼
equals=
less than<
greater than>
not equals≠...

A simple random sample of size
nequals=1515
is drawn from a population that is normally distributed. The
sample mean is found to be
x overbarxequals=29.429.4
and the sample standard deviation is found to be
sequals=6.36.3.
Determine if the population mean is different from
2424
at the
alpha equals 0.01α=0.01
level of significance. Complete parts (a) through (d)
below.
(a) Determine the null and alternative hypotheses.
Upper H 0H0:
▼
sigmaσ
muμ
pp
▼
not equals≠
less than<
equals=
greater than>...

An agency examined the relationship between the ozone level (in
parts per million or ppm) and the population (in millions) of
cities. Part of the regression analysis is shown to the right.
Complete parts a and b below.
Dependent variable is: Ozone R squared= 85.8% s= 5.137 with
16-2=14 df
Variable Coeff SE (Coeff)
Intercept 18.206 2.013
Population 6.987 1.915
a) It is suspected that the greater the population of a city,
the higher its ozone level. Is the...

The following data is used to study the relationship between
miles traveled and ticket price for a commercial airline:
Distance in miles:
300 400
450 500
550 600
800 1000
Price charged in $:
140 220
230 250
255 288
350 480
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.987
R Square
0.975
Adjusted R Square
0.971
Standard Error
17.352
Observations
8
ANOVA
df
SS
MS
F
Significance F
Regression
1
70291.3
70291.3
233.4
4.96363E-06
Residual
6
1806.6
301.1
Total...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 8 minutes ago

asked 26 minutes ago

asked 36 minutes ago

asked 39 minutes ago

asked 42 minutes ago

asked 55 minutes ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago