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
Gekata [30.6K]
3 years ago
12

A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters, using quarterl

y data on number of contracts during the 3-year period from 2010 to 2012. The following is the resulting regression equation: ln = 3.37 + 0.117 X - 0.083 Q1 + 1.28 Q2 + 0.617 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 2010 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 Using the regression equation, which of the following values is the best forecast for the number of contracts in the third quarter of 2013?A. The quarterly growth rate in the number of contracts is significantly different from 100% (? = 0.05).
B. The quarterly growth rate in the number of contracts is not significantly different from 0% (? = 0.05).
C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).
D. The quarterly growth rate in the number of contracts is not significantly different from 100% (? = 0.05).
Mathematics
1 answer:
dusya [7]3 years ago
4 0

There is a missing content in the question.

After the statements and before the the options given; there is an omitted content which says:

Referring to Table 16-5, in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000. Which of the following is the best interpretation of this result?

Answer:

C. The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05).

Step-by-step explanation:

From the given question:

The resulting regression equation can be represented as:

\hat Y = 3.37 + 0.117 X - 0.083 Q_1 + 1.28 Q_2 + 0.617Q_3

where;

the estimated number of contracts in a quarter X is the coded quarterly value with X = 0

the first quarter of 2010 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

Our null and alternative hypothesis can be stated as;

Null hypothesis :

H_0 :  The quarterly growth rate in the number of contracts is not  significantly different from 0% (? = 0.05)

H_a:  The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

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

From the missing omitted part we added above; we can see that the   t-statistics value = 9.08 and the p-value = 0.000 .

Conclusion:

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

The quarterly growth rate in the number of contracts is significantly different from 0% (? = 0.05)

You might be interested in
Solve the system algebraically. check your work. 2x + 5y = 10 2x + 3y = 6
Alja [10]
2x + 5y=10 .........equation 1
2x + 3y=6 .........equation 2

subtracting eq 2 from eq 1 we get
2y =4
y=2
putting y=2 in eq 1
we get
x=0
6 0
3 years ago
Read 2 more answers
What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
astraxan [27]
ANSWER


The value of the expression is
- 1


EXPLANATION

Method 1: Rewrite as product of
{i}^{2}


The expression given to us is,

{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}


We use the fact that
{i}^{2}  =  - 1
to simplify the above expression.



{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  {i}^{0}  \times {i}^{1}  \times {i}^{3}   \times {i}^{2}   \times {i}^{4}


This implies,


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  {i}^{0}  \times {i}^{2}  \times {i}^{2}   \times {i}^{2}   \times {i}^{2} \times {i}^{2}


We substitute to obtain,

{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  1\times  - 1 \times  - 1  \times  - 1\times  - 1 \times  - 1


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  1\times  1 \times   1  \times  - 1 =  - 1


Method 2: Use indices to solve.



{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  = {i}^{0 + 1 + 2 + 3 + 4}



This implies that,


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  = {i}^{10}




{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  (  {{i}^{2}} )^{5}


{i}^{0}  \times {i}^{1}  \times {i}^{2}  \times {i}^{3}  \times {i}^{4}  =  (   - 1 )^{5}   =  - 1


8 0
3 years ago
Read 2 more answers
If h()=² and () =h() +, what is the value of ?
bulgar [2K]

Answer:

negative six..........

7 0
3 years ago
2
Leokris [45]

Answer:

D

Step-by-step explanation:

Here, we want to get the equation of the line perpendicular to;

y = -3x + 2

From here, we can compare with the standard form of the equation of a straight line which is;

y = mx + c

From here m = -3

The slope is -3

Now, if two lines are perpendicular, the product of their slopes is -1

Thus;

-3 * m = -1

m = 1/3

So we want to select an equation out of the options that has a slope of 1/3

Let us take a look at the last option

x -3y = 3

3y = x-3

divide through by 3

y = x/3-1

So here the coefficient of x is 1/3 which is the slope of the perpendicular line that we are looking for and is our slope

5 0
3 years ago
A relation contains the points (2,3), (3,0), (4,1), (5,2), (5,0). Which statement accurately describes this relation
navik [9.2K]

Answer:

x,y

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Which of the diagrams below represents the statement “if it is not warm, then it is not hot”?
    12·2 answers
  • You originally draw a design for an art contest on a 2 in. x 5 in. card. The second phase of the contest requires the drawing to
    15·1 answer
  • How many triangles can be constructed with angles measuring 120°, 40°, and 10°?
    13·1 answer
  • Solve for x
    10·2 answers
  • What is the decay factor of the exponential function represented by the table?
    6·2 answers
  • Willie runs 5 miles in 20 minutes. If Willie runs at the same rate, how many miles can he run in 28 minutes?
    10·2 answers
  • Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
    6·1 answer
  • In the given figure, find the values of x and y.​
    5·1 answer
  • IF YOU ANSWER FIRST ILL GIVE BRAINLY
    6·2 answers
  • function g(x) : Five more than the opposite of 3 times the square of a number increased by 4 times the number
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!