Is it logical to proceed to simple linear regression? If yes, provide an estimate of the simple linear regression line. Specify which variables should be considered as the response and independent variable
Is it logical to proceed to simple linear regression? If yes, provide an estimate of the simple linear regression line. Specify which variables should be considered as the response and independent variable
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Cicadas are flying, plant-eating insects. One species, the 13-year cicadas (Magicicada), spends five juvenile stages in underground burrows. During the 13 years underground, the cicadas grow from approximately the size of a small ant to nearly the size of an adult cicada. The adult body weights (BW) in grams and wing lengths (WL) in millimeters are given for three different species of these 13-year cicadas in the following table. It is of interest to determine if body weight is a significant predictor of wing length for a 13-year cicada.
Considering all assumptions for a parametric test are satisfied, use the obtained jamovi © outputs below to answer the following:
Is it logical to proceed to simple linear regression? If yes, provide an estimate of the simple linear regression line. Specify which variables should be considered as the response and independent variable.
![jamovi outputs:
1
Model
Model Fit Measures
BW
Correlation Matrix
Residuals
BW
WL
Omnibus ANOVA Test
Intercept
BW
R
0.649
Model Coefficients - WL
Predictor Estimate
Pearson's r
p-value
Pearson's r
p-value
23.0
28.1
R²
Sum of Squares
76.3
105.0
Note. Type 3 sum of squares
0.421
SE
1.42
7.03
df
1
22
t
BW
0.649
<.001
16.18
4.00
WL
Mean Square
76.30
4.77
р
<.001
<.001
F
16.0
р
<.001
[3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fceb4d42b-d554-4cb1-a801-14b9f950b7de%2F2dd06707-2324-4558-a836-3fab2c7648fc%2Fwdh36v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:jamovi outputs:
1
Model
Model Fit Measures
BW
Correlation Matrix
Residuals
BW
WL
Omnibus ANOVA Test
Intercept
BW
R
0.649
Model Coefficients - WL
Predictor Estimate
Pearson's r
p-value
Pearson's r
p-value
23.0
28.1
R²
Sum of Squares
76.3
105.0
Note. Type 3 sum of squares
0.421
SE
1.42
7.03
df
1
22
t
BW
0.649
<.001
16.18
4.00
WL
Mean Square
76.30
4.77
р
<.001
<.001
F
16.0
р
<.001
[3]
![Species
tredecula
tredecim
tredecim
tredecula
tredecim
tredecim
tredecassini
tredecassini
tredecassini
tredecassini
tredecassini
tredecim
BW
0.15
0.29
0.17
0.18
0.39
0.26
0.17
0.16
0.14
0.14
0.28
0.12
WL
28
32
27
30
35
31
29
28
25
28
25
28
Species
tredecula
tredecassini
tredecula
tredecula
tredecassini
tredecassini
tredecassini
tredecim
tredecula
tredecula
tredecassini
tredecula
BW
0.18
0.21
0.15
0.17
0.13
0.17
0.23
0.12
0.26
0.19
0.2
0.14
WL
29
27
30
27
27
29
30
22
30
30
30
23](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fceb4d42b-d554-4cb1-a801-14b9f950b7de%2F2dd06707-2324-4558-a836-3fab2c7648fc%2Fl5jepexp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Species
tredecula
tredecim
tredecim
tredecula
tredecim
tredecim
tredecassini
tredecassini
tredecassini
tredecassini
tredecassini
tredecim
BW
0.15
0.29
0.17
0.18
0.39
0.26
0.17
0.16
0.14
0.14
0.28
0.12
WL
28
32
27
30
35
31
29
28
25
28
25
28
Species
tredecula
tredecassini
tredecula
tredecula
tredecassini
tredecassini
tredecassini
tredecim
tredecula
tredecula
tredecassini
tredecula
BW
0.18
0.21
0.15
0.17
0.13
0.17
0.23
0.12
0.26
0.19
0.2
0.14
WL
29
27
30
27
27
29
30
22
30
30
30
23
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