Answered: a) Write the model equation (in terms…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 64E

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Question

a) Write the model equation (in terms of Y's, X's and parameters) that describes the parallel lines fit to the data in the graph. Make sure to define the terms clearly. and any assumptions for the model are clearly stateted.

b) A Working-Hotelling Prediction interval for the mutual fund type at size =120 is (18,20). Interprete this interval. Then assess whether this would be more useful to a company of this size than the corresponding CI for the mean response.

Time
40
30
20
10
0
0
50
•
100
Scatterplot of Time vs Size
•
150
Size
200
250
*
300
H
Type
Mutual
Stock

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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