Section H: Hyla chrysoscelis is a type of gray tree frog with a distinct mating call. Frogs are cold-blooded animals, and their physiology is affected by variations in temperature. Researchers wanted to know if the mating song of Hyla chrysoscelis is affected by the temperature of its natural habitat. They observed the mating song frequency (y in notes/sec) and the habitat (x in °Celsius) of 20 Hyla chrysoscelis in the wild. We aim to express the relationship between x and y by using the simple linear regression model Y₁ = Bo + B₁ x₂ + Ei. Table H.1 Coefficients Standardized Unstandardized Coefficients Coefficients 95.0% Confidence Interval for B Lower Bound B Std. Error Beta Sig. Upper Bound Model 1 (Constant) -6.190 -23.508 11.128 Temperature 2.331 1.602 3.059 a. Dependent Variable: Frequency Table H.2 Model Summary Model R Square R .8463 1 .715 a. Predictors: (Constant), Temperature b. Dependent Variable: Frequency Adjusted R Square 8.243 .347 .699 Std. Error of the Estimate 2.82159 .846 t -.751 6.721 .462 .000

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Section H: Hyla chrysoscelis is a type of gray tree frog with a distinct mating call. Frogs are cold-blooded animals, and
their physiology is affected by variations in temperature. Researchers wanted to know if the mating song of Hyla
chrysoscelis is affected by the temperature of its natural habitat. They observed the mating song frequency (y in
notes/sec) and the habitat (x in °Celsius) of 20 Hyla chrysoscelis in the wild. We aim to express the relationship between
and y by using the simple linear regression model Yį = ßo + ß₁ x; + Eį.
Table H.1
Coefficients
Standardized
Unstandardized Coefficients
Coefficients
95.0% Confidence Interval for B
Lower Bound
B
Std. Error
Beta
Sig.
Upper Bound
Model
1
(Constant)
-6.190
-23.508
11.128
Temperature
2.331
1.602
3.059
a. Dependent Variable: Frequency
Table H.2
Model Summary
Model
R Square
R
.846ª
1
.715
a. Predictors: (Constant), Temperature
b. Dependent Variable: Frequency
Adjusted R
Square
8.243
.347
.699
Std. Error of
the Estimate
2.82159
.846
t
-.751
6.721
.462
.000
Transcribed Image Text:Section H: Hyla chrysoscelis is a type of gray tree frog with a distinct mating call. Frogs are cold-blooded animals, and their physiology is affected by variations in temperature. Researchers wanted to know if the mating song of Hyla chrysoscelis is affected by the temperature of its natural habitat. They observed the mating song frequency (y in notes/sec) and the habitat (x in °Celsius) of 20 Hyla chrysoscelis in the wild. We aim to express the relationship between and y by using the simple linear regression model Yį = ßo + ß₁ x; + Eį. Table H.1 Coefficients Standardized Unstandardized Coefficients Coefficients 95.0% Confidence Interval for B Lower Bound B Std. Error Beta Sig. Upper Bound Model 1 (Constant) -6.190 -23.508 11.128 Temperature 2.331 1.602 3.059 a. Dependent Variable: Frequency Table H.2 Model Summary Model R Square R .846ª 1 .715 a. Predictors: (Constant), Temperature b. Dependent Variable: Frequency Adjusted R Square 8.243 .347 .699 Std. Error of the Estimate 2.82159 .846 t -.751 6.721 .462 .000
28. Using the SPSS output above, what is the least squares equation to the linear regression model
Y₁ = Bo + B₁ x; + Ej?
ŷ
2.331 6.190 x
=
y = -6.190 + 2.331 x
ý
=
0.347 + 8.243 x
ŷ = 8.243 +0.347 x
Transcribed Image Text:28. Using the SPSS output above, what is the least squares equation to the linear regression model Y₁ = Bo + B₁ x; + Ej? ŷ 2.331 6.190 x = y = -6.190 + 2.331 x ý = 0.347 + 8.243 x ŷ = 8.243 +0.347 x
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman