Answered: A newly-designed highway sign is being…

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

A newly-designed highway sign is being examined. 27 drivers, of various ages, were tested to see at what maximum distance (in feet) each driver could clearly read the sign. Each driver's age was also recorded. Some summary statistics are shown below:
Column n Mean Std. Dev. Median Range Min Max Q1 Q3
age 27 51.33 21.944 55 64 18 82 28 71
distance 27 423.33 82.927 420 310 280 590 360 460
The correlation between age and distance is 0.796.

a. Calculate the least-squares regression line for predicting distance from age.
b. Refer to the previous question. Suppose that the age of the driver is 65 years old. Predicted the expected distance of a sign that the driver should be able to read.

Column
n
Mean
Std. Dev. Median Range Min Max
Q1
Q3
age
27 51.33
21.944
55
64
18 82
28
71
distance
27 423.33
82.927
420
310
280 590 360 460

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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