Annual high temperatures (Celsius) in a certain location have been tracked for several years on the same date. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, the linear regression equation was calculated using technology.xy032.4132.97236.04334.41435.08539.55640.42741.19838.36938.931040.11141.471242.34The equation is y^=33.323+0.77xInterpret the slope:For each additional 0.77 years, the annual high temperature will increase by 1 degree on average.For each additional 33.323 years, the annual high temperature will increase by 1 degree on average.For each additional year, the annual high temperature will increase by 33.323 degrees on average.For each additional year, the annual high temperature will increase by 0.77 degrees on average.

The objective of the question is to interpret the slope of the linear regression equation y = 33.323…

Answered: Annual high temperatures (Celsius) in a…

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

Annual high temperatures (Celsius) in a certain location have been tracked for several years on the same date. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, the linear regression equation was calculated using technology.

x	y
0	32.4
1	32.97
2	36.04
3	34.41
4	35.08
5	39.55
6	40.42
7	41.19
8	38.36
9	38.93
10	40.1
11	41.47
12	42.34

The equation is y^=33.323+0.77x

Interpret the slope:

For each additional 0.77 years, the annual high temperature will increase by 1 degree on average.
For each additional 33.323 years, the annual high temperature will increase by 1 degree on average.
For each additional year, the annual high temperature will increase by 33.323 degrees on average.
For each additional year, the annual high temperature will increase by 0.77 degrees on average.

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