SUMMARY OUTPUT Regression Statistics Multiple R 0.960473 R Square 0.922509 Adjusted F 0.905288 Standard I 1.129804 Observati 12 ANOVA df Regression gnificance F 1E-05 S MS F 2 136.7619 68.38094 53.57089 Residual 9 11.48811 1.276457 Total 11 148.25 Coefficientsandord Err tStat P-value Lower 95%Upper 95%ɔwer 95.0%pper 95.0% Intercept 177.7025 35.42397 5.016447 0.000723 97.56788 257.8371 97.56788 257.8371 Advertisin -0.06789 0.036351 -1.86772 0.094643 0.15013 0.014338 -0.15013 0.014338 Increase it -2.28949 0.434127 -5.27377 0.000511 -3.27155 -1.30742 -3.27155 -1.30742 Questions: a. - Use the output shown above to write an equation that can be used to predict the number of computer sales - Interpret the coeffcients of the estimated regression equation that you found in part a. b. At 95% confidence, determine which variables are significant and which are not. If in a given day, the advertising cost were 844 million and the price per unit 17 million, what would you expect the number of computer sold be? c.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
![SUMMARY OUTPUT
Regression Statisties
Multiple R 0.960473
R Square 0.922509
Adjusted F 0.905288
Standard I 1.129804
Observati
12
ANOVA
MS
gnificance F
df
2 136.7619 68.38094 53.57089
9 11.48811 1.276457
148.25
Regression
1E-05
Residual
Total
11
P-value tower 95%Upper 95%ɔwer 95.09pper 95.0%
Intercept 177.7025 35.42397 5.016447 0.000723 97.56788 257.8371 97.56788 257.8371
Coefficientsandard Err. tStat
Advertisin -0.06789 0.036351 -1.86772 0.094643 -0.15013 0.014338 -0.15013 0.014338
Increase it -2.28949 0.434127 -5.27377 0.000511 -3.27155 -1.30742 -3.27155 -1.30742
Questions:
a. - Use the output shown above to write an equation that can be used to predict the number
of computer sales
- Interpret the coefficients of the estimated regression equation that you found in part a.
At 95% confidence, determine which variables are significant and which are not.
If in a given day, the advertising cost were 844 million and the price per unit 17 million,
what would you expect the number of computer sold be?
b.
c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc39de9c-428f-4afd-ba8c-6cd5c473243d%2F33e7a0dd-d7fb-4860-9e79-e7e764521589%2Fu3fkwrl_processed.jpeg&w=3840&q=75)
![1. A Computer store wants to know the effect of its advertising cost and computer price on
a number of computer sales over a period of 12 months. The following table provides
the data of the computer sales, advertising cost and price per unit computer:
Day
(y=
(xl=
(x2= Price
Computer
Advertising
per unit
Sales in
cost in
in
thousands)
millions)
millions)
1
98 860
10.0
97
855
10.5
3
95
850
10.7
4
94
840
10.7
5
95
845
11.0
6.
93
845
12.0
7
92
842
12.3
90
834
13.5
9.
88
835
14.0
10
90
800
15.0
11
88
785
16.0
12
87
780
16.5
The data is processed by using Excel and produce the following output:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc39de9c-428f-4afd-ba8c-6cd5c473243d%2F33e7a0dd-d7fb-4860-9e79-e7e764521589%2F74yb5s_processed.jpeg&w=3840&q=75)
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