Data contains brain mass in different species versus glia-neuron ratio, the latter being a measurement of brain metabolism as the glia provides the metabolic needs of the neurons. The relationship between THE LOGARITHM of the brain mass (in the third column) and Glia-neuron ratio (fourth column) appears linear and it is these two variables that we wish to analyze via linear regression. We would like to know if the human brain fits the trend from the other species. Towards this end we will perform the regression on all species EXCEPT human
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Data contains brain mass in different species versus glia-neuron ratio, the latter being a measurement of brain metabolism as the glia provides the metabolic needs of the neurons. The relationship between THE LOGARITHM of the brain mass (in the third column) and Glia-neuron ratio (fourth column) appears linear and it is these two variables that we wish to analyze via linear regression. We would like to know if the human brain fits the trend from the other species. Towards this end we will perform the regression on all species EXCEPT humans (Homo sapiens). Again, throw out the human data from your analysis. You will however need the human numbers for some of the questions.
What is SStotal, SSregression, and SSresidual?
What is MSregression and F ratio?
Based on the ANOVA analysis the null hypothesis of zero slope is rejected at a significance level of 0.05.
True
False
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D.
gliaNeuronRatio
7.22
brainMass
InBrainMass
species
1.65
1373.3
Homo sapiens
Pan troglodytes
Gorilla gorilla
336.2
5.82
1.2
509.2
6.23
1.21
342.7
5.84
0.98
Pongo pygmaeus
Hylobates muelleri
Papio anubis
Mandrillus sphinx
101.8
4.62
1.22
155.8
5.05
0.97
159.2
5.07
1.02
Macaca maura
92.6
4.53
0.84
102.3
4.63
1.09
Erythrocebus patas
Cercopithecus kandt
Colobus angolensis
71.6
4.27
1.15
74.4
4.31
1.2
1.14
Trachypithecus frant
1Alouatta caraya
91.2
4.51
55.8
4.02
1.12
24.1
3.18
0.51
5 Saimiri boliviensis
5 Aotus trivirgatus
7 Saguinus oedipus
8 Leontopithecus rosa
9 Pithecia pithecia
13.2
2.58
0.63
10
2.3
0.46
12.2
2.5
0.6
30
3.4
0.64"
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