Answered: Plot 1 Out-of-State Tuition Plot 1:…

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

Consider the insights derived from plot 1. Which of the following statements accurately reflects the data? Please select all that apply.

Group of answer choices

Institutions with ‘Above Average Expenditure’ tend to have a higher mean Out-of-State Tuition compared to those with ‘Below Average Expenditure’.

If we were to fit a simple linear regression model to the data, the slope of the regression line would be positive.

There is a negative correlation between the Student-Faculty Ratio and Out-of-State Tuition.

The correlation between Student-Faculty Ratio and Expenditure Category is positive.

The correlation between Out-of-State Tuition and Expenditure Category is negative.

Plot 1
Out-of-State Tuition
Plot 1: Out-of-State Tuition vs Student-Faculty Ratio
20000
15000
10000
5000
10
20
Student-Faculty Ratio
30
40
Expenditure Category
• Above Average Expenditure
• Below Average Expenditure

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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