The table below shows the mileage in miles per gallon of several cars when they were new and when they were 3 years old:| | New | 3 years ||------------|-----|---------|| **Mileage**| 27 | 24 || | 17 | 15 || | 33 | 29 || | 28 | 25 || | 24 | 22 || | 18 | 16 || | 22 | 20 || | 20 | 18 || | 29 | 26 |The mean of the sample of new car mileages is $\bar{x} = 23.9$ with a sample standard deviation of $s_x = 5.2$. The mean of the sample of three-year-old car mileage is $\bar{y} = 21.4$ with a sample standard deviation of $s_y = 4.6$. The linear correlation coefficient is $r = 0.998$, which suggests a strong linear correlation. **Task:** Find the regression line and use it to predict the mileage a car will have after 3 years, if it gets 26 miles per gallon when it is new.

Name: The table below shows the mileage in miles per gallon of several cars
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Description: The table below shows the mileage in miles per gallon of several cars when they were new and when they were 3 years old:| | New | 3 years ||------------|-----|---------|| **Mileage**| 27 | 24 || | 17 | 15 ||

The value of the slope can be calculated as: The y-intercept can be calculated as:Thus the least square regression line used to predict the mileage of car after 3 years will be: The prediction when x = 26 miles per gallon Thus, mileage of this car after 3 years will be 23.25 miles per gallon.

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The mileage in miles per gallon of several cars when they were new and when they were 3 years old is listed below. New 27 17 33 28 24 18 22 20 29 3 years 24 15 29 25 22 16 20 18 26 The mean of the sample of new car mileages is x = 23.9 with a sample standard deviation of sy = 5.2, and The mea of the sample of three year old car mileage is ỹ = 21.4 with a sample standard deviation of s, = 4.6. The linear correlation coefficient is r = 0.998, which suggests linear correlation. Find the regression line and use it to predict the mileage a car will have after 3 vears if it gets 26 miles per gallon when it is new

The mileage in miles per gallon of several cars when they were new and when they were 3 years old is listed below. New 27 17 33 28 24 18 22 20 29 3 years 24 15 29 25 22 16 20 18 26 The mean of the sample of new car mileages is x = 23.9 with a sample standard deviation of sy = 5.2, and The mea of the sample of three year old car mileage is ỹ = 21.4 with a sample standard deviation of s, = 4.6. The linear correlation coefficient is r = 0.998, which suggests linear correlation. Find the regression line and use it to predict the mileage a car will have after 3 vears if it gets 26 miles per gallon when it is new

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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