We want to investigate the correlation between concentration of Se (Selenium) in the teeth and its concentration in the liver in 20 Beluga 240 220 Whales. We suspect that the higher the concentration in the liver, the higher the concentration in the teeth. A plot of the data is given at right, and the following summary statistics are given for these data: 200 180 160 X = 20.68 Sx = 13.45 ỹ = 156.60 Sy = 36.06 140 r = 0.54 Se = 31.25 120 Before actually computing its value (that is, by just looking at the scatterplot), how do we know that r > 0 (rather than r = 0 or r < 0)? 10 20 30 40 Liver Se (ug/g dry wt) Calculate the regression line Y Tooth Se (variable Y in the line) as a function of Liver Se (variable X in the line). bo + b,X (that is, find the slope b1 and y-intercept bo) for Interpret the value of the slope bị that you just found. That is, what does b, tell you about how Tooth Se and Liver Se are related? (And don't just write that it's the slope.) Tooth Se (ng/g dry wt)

We want to investigate the correlation between concentration of Se (Selenium) in the teeth and its concentration in the liver in 20 Beluga 240 220 Whales. We suspect that the higher the concentration in the liver, the higher the concentration in the teeth. A plot of the data is given at right, and the following summary statistics are given for these data: 200 180 160 X = 20.68 Sx = 13.45 ỹ = 156.60 Sy = 36.06 140 r = 0.54 Se = 31.25 120 Before actually computing its value (that is, by just looking at the scatterplot), how do we know that r > 0 (rather than r = 0 or r < 0)? 10 20 30 40 Liver Se (ug/g dry wt) Calculate the regression line Y Tooth Se (variable Y in the line) as a function of Liver Se (variable X in the line). bo + b,X (that is, find the slope b1 and y-intercept bo) for Interpret the value of the slope bị that you just found. That is, what does b, tell you about how Tooth Se and Liver Se are related? (And don't just write that it's the slope.) Tooth Se (ng/g dry wt)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

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.

Question

We want to investigate the correlation between
concentration of Se (Selenium) in the teeth and
its concentration in the liver in 20 Beluga
Whales.
240
220
We suspect that the higher the
the higher the
concentration in the liver,
concentration in the teeth. A plot of the data is
given at right, and the following summary
statistics are given for these data:
200
180
160
X = 20.68 Sy= 13.45
y =
= 156.60
Sy
= 36.06
140
0.54 Se
= 31.25
r =
120
Before actually computing its value (that is, by just
looking at the scatterplot), how do we know that
r > 0 (rather than r = 0 or r<0)?
10
20
30
40
Liver Se (ug/g dry wt)
Calculate the regression line Y = bo + bịX (that is, find the slope b, and y-intercept bo) for
Tooth Se (variable Y in the line) as a function of Liver Se (variable X in the line).
Interpret the value of the slope b, that you just found. That is, what does b, tell you about
how Tooth Se and Liver Se are related? (And don't just write that it's the slope.)
Tooth Se (ng/g dry wt)

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