Question

Theory Question 3:

Suppose you are testing a regression model for the presence of
heteroskedasticity and the p-value is 0.00. Provide the null and
alternative hypotheses, the rejection rule and interpret the
result.

Suppose you are testing for serial correlation and using the Serial
Correlation LM text where the p-value is 0.8415. Provide the null
and alternative hypotheses, the rejection rule and interpret the
result.

Answer #1

Null hypothesis H0: There is no presence of heteroskedasticity in the regression model.

Alternative hypothesis Ha: There is presence of heteroskedasticity in the regression model.

Rejection rule: p-value < 0.05

Since p-value is less than 0.05 significance level, we reject null hypothesis H0 and conclude that there is significant evidence of presence of heteroskedasticity in the regression model.

Null hypothesis H0: There is no serial correlation in the regression model.

Alternative hypothesis Ha: There is presence of serial correlation in the regression model.

Rejection rule: p-value < 0.05

Since p-value is greater than 0.05 significance level, we fail to reject null hypothesis H0 and conclude that there is no significant evidence of presence of serial correlation in the regression model.

Question
1
Heteroskedasticity is a violation of which assumption of
the multiple regression model?
a)
E(ei) = 0
b)
cov(ei, ej) = 0 where
i≠j
c) The values of each
independent variable xik are not
random
d)
var(ei) = σ2
Question
2
You have
estimated a multiple regression model with 6 explanatory variables
and an intercept from a sample with 46 observations. What is the
critical value (or t-crit) if you want to perform a
one-tailed t test at the...

You are interested in testing Chips Ahoy’s claim that
bags of Chips Ahoy cookies contain more than 1000 chips, on
average. Suppose you have an SRS of 62 bags of cookies and find
that the sample mean is 1022 chips. The sample standard deviation s
is 94.2 chips. There are no outliers or signs of strong skew. (a)
Check the conditions for inference. Are the data from an SRS? Are
the sample size and distributional requirements met? Specify why or...

QUESTION 3
Suppose a study is conducted to find out how the cost of flying
between Brisbane and Sydney using Boeing 737 varies with the number
of passengers. The table below presents the number of passengers
and associated costs for a random sample of 15 flights between
Brisbane and Sydney using Boeing 737.
Number of passengers
71
63
66
68
48
73
50
81
50
92
56
80
55
67
84
Cost ($)
4480
4020
4420
4150
3800
4300
4090...

You may need to use the appropriate technology to answer this
question.
In a regression analysis involving 27 observations, the
following estimated regression equation was developed.
ŷ = 25.2 + 5.5x1
For this estimated regression equation SST = 1,550 and SSE =
590.
(a)
At α = 0.05, test whether
x1
is significant.
State the null and alternative hypotheses.
H0: β0 ≠ 0
Ha: β0 = 0
H0: β1 = 0
Ha: β1 ≠ 0
H0: β0 = 0
Ha:...

3.) Now, you are going to run the multivariable linear
regression model you just created.
For credit: Provide your model command and summary
command below along with all the output for your model
summary.
Model1 <- lm(LifeExpect2017~HouseholdIncome + Diabetic + FoodInsecure + Uninsured + DrugOverdoseMortalityRate )
> summary(Model1)
Call:
lm(formula = LifeExpect2017 ~ HouseholdIncome + Diabetic + FoodInsecure +
Uninsured + DrugOverdoseMortalityRate)
Residuals:
Min 1Q Median 3Q Max
-5.4550 -0.8559 0.0309 0.8038 7.1801
Coefficients:
Estimate Std. Error t value Pr(>|t|)...

You may need to use the appropriate technology to answer this
question.
In a regression analysis involving 30 observations, the
following estimated regression equation was obtained.
ŷ = 17.6 + 3.8x1 −
2.3x2 +
7.6x3 +
2.7x4
For this estimated regression equation, SST = 1,835 and SSR =
1,790.
(a)
At α = 0.05, test the significance of the relationship
among the variables.
State the null and alternative hypotheses.
H0: One or more of the parameters is not
equal to...

3.) Now, you are going to run the multivariable linear
regression model you just created.
For credit: Provide your model command and summary
command below along with all the output for your model
summary.
Model1 <- lm(LifeExpect2017~HouseholdIncome + Diabetic +
FoodInsecure + Uninsured + DrugOverdoseMortalityRate )
> summary(Model1)
Call:
lm(formula = LifeExpect2017 ~ HouseholdIncome + Diabetic + FoodInsecure +
Uninsured + DrugOverdoseMortalityRate)
Residuals:
Min 1Q Median 3Q Max
-5.4550 -0.8559 0.0309 0.8038 7.1801
Coefficients:
Estimate Std. Error t value Pr(>|t|)...

Suppose that you are testing the following hypotheses where the
variance is unknown: H0 : µ = 100 H0 : µ ≠ 100 The sample size is n
20. Find bounds on the P-value for the following values of the test
statistic. a. t0 = 2.75 b. t0 = 1.86 c. t0 = -2.05 d. t0 =
-1.86

As a manager, you have been provided the following regression
summery output for a regression model of a new product.
PLEASE PROVIDE STEP BY STEP INSTRUCTIONS TO SOLVE THIS. THANK
YOU
df
SS
MS
F
Significance F
Regression
3
156.4823
52.16077
28.01892
0.000002177
Residual
26
48.4023
1.861627
Total
29
204.8846
Coefficients
P-value
Intercept
23.8163
9.24E-07
Price
-0.3035
0.001925
Price other
-0.342937
0.112442
Income
0.23406
0.033889
a. What is the percent risk of the coefficients really being
zero? In other words,...

Suppose that the average student buys 12 books a year. You have
a theory that by offering a discount you can increase that number.
You run a pilot project by offering the discount to a random sample
of 25 students and you find that ?̅= 14 and s = 4.32.
11. State the null and alternative hypotheses.
12. How many tails is this test?
13. Specify α.
14. Compute the value of the test statistic.
15. How many degrees of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 37 minutes ago

asked 41 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago