Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). y 3 28.94 4 31.82 31.9 6. 32.58 7 33.96 8 30.44 9. 31.02 10 34.7 11 31.88 12 31.56 13 33.44 14 35.92 The equation is ŷ = X + %3D Interpret the slope For each additional year, the annual high temperature will increase by 29.72 degrees on average. For each additional year, the annual high temperature will increase by 0.31 degrees on average. For each additional 0.31 years, the annual high temperature will increase by 1 degree on average. For each additional 29.72 years, the annual high temperature will increase by 1 degree on average. Interpret the y-intercept In 2014, the temperature was about 35.92. It does not make sense to interpret the intercept in this scenario. In 2000, the temperature was about 29.72. In 2003, the temperature was about 29.72. In 2003, the temperature was about 0.31.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Annual high temperatures in a certain location have been tracked for several years. Let X represent the
number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear
regression equation using technology (each constant to 2 decimal places).
y
28.94
4
31.82
31.9
6.
32.58
7
33.96
8
30.44
9.
31.02
10
34.7
11
31.88
12
31.56
13
33.44
14
35.92
The equation is ŷ =
X +
Interpret the slope
For each additional year, the annual high temperature will increase by 29.72 degrees on average.
For each additional year, the annual high temperature will increase by 0.31 degrees on average.
For each additional 0.31 years, the annual high temperature will increase by 1 degree on average.
For each additional 29.72 years, the annual high temperature will increase by 1 degree on average.
Interpret the y-intercept
In 2014, the temperature was about 35.92.
It does not make sense to interpret the intercept in this scenario.
In 2000, the temperature was about 29.72.
In 2003, the temperature was about 29.72.
In 2003, the temperature was about 0.31.
Transcribed Image Text:Annual high temperatures in a certain location have been tracked for several years. Let X represent the number of years after 2000 and Y the high temperature. Based on the data shown below, calculate the linear regression equation using technology (each constant to 2 decimal places). y 28.94 4 31.82 31.9 6. 32.58 7 33.96 8 30.44 9. 31.02 10 34.7 11 31.88 12 31.56 13 33.44 14 35.92 The equation is ŷ = X + Interpret the slope For each additional year, the annual high temperature will increase by 29.72 degrees on average. For each additional year, the annual high temperature will increase by 0.31 degrees on average. For each additional 0.31 years, the annual high temperature will increase by 1 degree on average. For each additional 29.72 years, the annual high temperature will increase by 1 degree on average. Interpret the y-intercept In 2014, the temperature was about 35.92. It does not make sense to interpret the intercept in this scenario. In 2000, the temperature was about 29.72. In 2003, the temperature was about 29.72. In 2003, the temperature was about 0.31.
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