Answered: The average August temperatures (y) and…

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

The average August temperatures (y) and geographic latitudes (x) of 13 cities in the United States were studied. The regression equation for these data is
Temperature = 127 -1.68*(latitude)

What is the slope of the line?

Estimate the mean August temperature for a city with latitude of 11.
Use 2 decimal places

San Francisco has a latitude of 40. What would you predict for the mean August temperature of San Francisco?
Use 2 decimal places

Given that the mean August temperature in San Francisco is actually 70 calculate the residual (prediction error) for San Francisco.
It should be observed minus predicted. If you do it wrong your answer have the positive and negative switched
Use 2 decimal places

The latitude at the equator is 0. Estimate the average August temperature at the equator.
Use 1 decimal place

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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