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). X y 3 35.01 4 37.78 5 37.35 6 36.72 7 40.09 8 40.36 9 40.83 10 41.3 11 40.57 12 42.64 13 44.21 14 42.58 46.05 45.12 15 16 The equation is y = Interpret the slope For each additional 33.75 years, the annual high temperature will increase by 1 degree on average. For each additional year, the annual high temperature will increase by 33.75 degrees on average. For each additional year, the annual high temperature will increase by 0.74 degrees on average. For each additional 0.74 years, the annual high temperature will increase by 1 degree on average. X + Interpret the y-intercept O In 2000, the temperature was about 33.75. O In 2003, the temperature was about 33.75. O In 2003, the temperature was about 0.74. O In 2016, the temperature was about 45.12. O It does not make sense to interpret the intercept in this scenario.
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). X y 3 35.01 4 37.78 5 37.35 6 36.72 7 40.09 8 40.36 9 40.83 10 41.3 11 40.57 12 42.64 13 44.21 14 42.58 46.05 45.12 15 16 The equation is y = Interpret the slope For each additional 33.75 years, the annual high temperature will increase by 1 degree on average. For each additional year, the annual high temperature will increase by 33.75 degrees on average. For each additional year, the annual high temperature will increase by 0.74 degrees on average. For each additional 0.74 years, the annual high temperature will increase by 1 degree on average. X + Interpret the y-intercept O In 2000, the temperature was about 33.75. O In 2003, the temperature was about 33.75. O In 2003, the temperature was about 0.74. O In 2016, the temperature was about 45.12. O It does not make sense to interpret the intercept in this scenario.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
Related questions
Question
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).
X
y
3
35.01
4
37.78
5
37.35
6
36.72
7 40.09
8
40.36
9
40.83
10
41.3
11 40.57
12 42.64
13
44.21
14 42.58
15 46.05
16
45.12
The equation is ĝ ŷ =
X +
Interpret the slope
O For each additional 33.75 years, the annual high temperature will increase by 1 degree on average.
O For each additional year, the annual high temperature will increase by 33.75 degrees on average.
For each additional year, the annual high temperature will increase by 0.74 degrees on average.
O For each additional 0.74 years, the annual high temperature will increase by 1 degree on average.
Interpret the y-intercept
O In 2000, the temperature was about 33.75.
O In 2003, the temperature was about 33.75.
O In 2003, the temperature was about 0.74.
O In 2016, the temperature was about 45.12.
O It does not make sense to interpret the intercept in this scenario.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning