Let assume that an automobile manufacturer introduces a new battery for automobiles and tests for its fuel consumption performance for 100 number of different automobiles to see whether this new product can be labeled as user friendly. Now, the manufacturer wants to use a probability distribution for this work and draw the fuel consumption at 250 km for each of 100 automobiles. Here, the horizontal axis shows the fuel consumption (of liters) for each automobile at 250 km while the vertical axis shows corresponding densities-masses.

Let assume that an automobile manufacturer introduces a new battery for automobiles and tests for its fuel consumption performance for 100 number of different automobiles to see whether this new product can be labeled as user friendly. Now, the manufacturer wants to use a probability distribution for this work and draw the fuel consumption at 250 km for each of 100 automobiles. Here, the horizontal axis shows the fuel consumption (of liters) for each automobile at 250 km while the vertical axis shows corresponding densities-masses.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Let assume that an automobile manufacturer introduces a new battery for automobiles and tests for
its fuel consumption performance for 100 number of different automobiles to see whether this new
product can be labeled as user friendly. Now, the manufacturer wants to use a probability
distribution for this work and draw the fuel consumption at 250 km for each of 100 automobiles.
Here, the horizontal axis shows the fuel consumption (of liters) for each automobile at 250 km
while the vertical axis shows corresponding densities-masses.
Given this information 1. Please make a discussion on the conditions under which we can argue
that this case fits to a probability distribution (remember class meetings+problem sessions); 2.
Please explain clearly why this case fits to a discrete or continuous distribution; 3. Please give an
example for the random variable z for this case and 4. Please show in which part of the probability
distribution can the fuel consumption of this new battery approximately be labeled as user friendly.

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