Answered: Coefficients Standard Error t Stat…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

	Coefficients	Standard Error	t Stat	P-value
Intercept	396.3787879396.3787879	30.3252606430.32526064	13.0709111713.07091117	1.30250E−071.30250E−07
Month	41.7237762241.72377622	4.1203915414.120391541	10.1261678210.12616782	1.41682E−061.41682E−06

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Step 1 of 3:

What is the mean square error for the linear time trend model? Round your answer to three decimal places

Step 2: Using the linear time trend model, predict the company's sales for the 13^th month. Round your answer to the nearest thousand dollars.

Step 3:

What percent of the variation in sales is explained by the linear time trend model? Round your answer to two decimal places.

Using statistical software, the following summary output tables were produced.
SUMMARY OUTPUT
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Regression
Residual
Total
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
0.9545376536
0.9111421321
0.9022563453
49.27271641
12
ANOVA
df
SS
MS
1 248944.9108 248944.9108
10 24278.00583 2427.800583
11 273222.9167
F
102.5392747

Consider the following monthly sales data for an up-and-coming technology company.
Month
1
2
3
4
5
LO
6
7
8
9
10
11
12
Sales Data
Sales (Thousands of Dollars)
319
537
538
572
631
696
694
715
796
824
838
851

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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