1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-Dominant- [34]
3 years ago
9

A local store developed a multiplicative time-series model to forecast its revenues in future quarters, using quarterly data on

its revenues during the 5-year period from 2008 to 2012. The following is the resulting regression equation: log10 = 6.102 + 0.012 X - 0.129 Q1 - 0.054 Q2 + 0.098 Q3 where is the estimated number of contracts in a quarter X is the coded quarterly value with X = 0 in the first quarter of 2008 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise To obtain a fitted value for the fourth quarter of 2009 using the model, which of the following sets of values should be used in the regression equation?1. In testing the significance of the coefficient of X in the regression equation (0.012) which has a p-value of 0.02. Which of the following is the best interpretation of this result? a. The quarterly growth rate in revenues is significantly different from 0%. b. The quarterly growth rate in revenues is not significantly different from 0%. c. The quarterly growth rate in revenues is significantly different from 1.2%. d. The quarterly growth rate in revenues is not significantly different from 1.2%. e. The quarterly growth rate in revenues is significantly different from 1.2% 2. using the regression equation, the forecast for the revenues in the fourth quarter of 2004 is:______ a. 6,426 b. 2,666,858 c. 6,638 d. 2,741,574 e. 6,414
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

The quarterly growth rate in revenues is significantly different from 1.2%.

b. 2,666,858

Step-by-step explanation:

Given that:

The regression equation can be represented as :

log_{10} \hat Y= 6.102+0.012 X - 0.129 Q_1 - 0.054 Q_2 + 0.098 Q_3

In testing the significance of the coefficient of X in the regression equation (0.012) which has a p-value of 0.02.

The null and alternative hypothesis can be stated as;

H_0:    The quarterly growth rate in revenues is not significantly different from 1.2%.

H_a:   The quarterly growth rate in revenues is significantly different from 1.2%.

The decision rule is to reject the null hypothesis if the p-value is less than 0.05.

From above ; the p-value = 0.02 which is less than 0.05.

Conclusion:

Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e

The quarterly growth rate in revenues is significantly different from 1.2%.

b.

Since Q_1=Q_2=Q_3 = 0 ; X = 27

Thus ;

log_{10} \hat Y= 6.102+0.012 X - 0.129 Q_1 - 0.054 Q_2 + 0.098 Q_3

log_{10} \hat Y= 6.102+0.012 (27)

\hat Y=10^{ 6.102+0.012 (27) }

\hat Y = 2666858.665

\hat Y =  2,666,858

You might be interested in
HELP ME PLEASE I NEED HELP NOW PLEASE I NEED HELP I DONT HAVE TIME I HAVE LUNCH SOON I AM IN CLASS HELPCEMACKSLJDMAKLHNDLVKJAHSN
kakasveta [241]

Answer:

3

Step-by-step explanation:

If figure A is half the size of figure B, then 1.5 x 2 = 3.

8 0
3 years ago
A spherical balloon has a 22-inch diameter when it's fully inflated. Half of the air is let out but remains sphere-shaped.
Rudik [331]

Answer:

8.7 inches rlly hope it helps

Step-by-step explanation:

7 0
4 years ago
A bag of candy containing 320 pieces is to be divided up into 18 smaller bags for distribution with fourteen left over. How many
nikitadnepr [17]

Answer:

17

Step-by-step explanation:

A bag of candy contains 320 pieces

It is to be divided into 18 smaller bags with fourteen left over

Therefore the pieces that will go in each bag after the distributorn can be calculated as follows

= 320/18

= 17 remainder 14

Hence 17 pieces of candy will be in each bags

5 0
3 years ago
What is the cross measurement of a rectangle 26’9”x29’11”
Goshia [24]

Answer:

the diagonal of the rectangle is 40' 1"

6 0
3 years ago
The legs of a right triangle are 6 units and 7 units. What is the length of the hypotenuse?
Ksju [112]

Answer: Square root 85 units

Step-by-step explanation:

Given: The legs of a right triangle are 6 units and 7 units.

Let h be the hypotenuse of the right triangle.

By Pythagoras theorem of right triangle, we have

h=\sqrt{6^2+7^2}\\\\\Rightarrow\ h=\sqrt{36+49}\\\\\Rightarrow\ h=\sqrt{85}

Hence, the  length of the hypotenuse=\sqrt{85}\text{ units.}

  • Pythagoras theorem of right triangle says that the square of the hypotenuse  is equal to the sum of the squares of the other two sides.
3 0
3 years ago
Other questions:
  • Ethan is building birdhouses in shop class, and he has a total of 209 nails on hand. A small birdhouse requires 25 nails and a l
    7·1 answer
  • If 8 is a factor of a number, what other numbers have to be factors of the number? How do you know
    8·1 answer
  • Did I get all of the questions right?
    15·2 answers
  • You have 3\4 of a pie each guest takes home 1\6 of the pie how much pie does each guest take home
    6·1 answer
  • If m<8=94 then ehat does m<6 equal​
    9·1 answer
  • Four identical pens cost N dollars. How much would K pens cost?
    5·2 answers
  • The table below shows the scores on a science test.
    12·1 answer
  • What value of x makes the equation true?<br> -1=1 – 4(-5+4x) – 4x
    13·1 answer
  • What is the scale factor that caused the change from circle A to circle b​
    14·2 answers
  • HELP THIS IS URGENT!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!