Exercise 3.1 Quality of fish after ice storage. Fish Y = Quality (10 point scale: 10 = fresh) , X = Days (a) Fit the LS line. Show the JMP output result (b) Interpret the slope value. (c) Is a linear model appropriate ? Explain.
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.
Exercise 3.1 Quality of fish after ice storage.
Fish Y = Quality (10 point scale: 10 = fresh) , X = Days
(a) Fit the LS line. Show the JMP output result
(b) Interpret the slope value.
(c) Is a linear model appropriate ? Explain.
![Bivariate Fit of y By x
8.5
8
y
7.5
7
6.5
10
Xx
-Linear Fit
Linear Fit
y = 8.46-0.1416667*x
Summary of Fit
0.968758
RSquare
RSquare Adj
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
0.96485
0.120675
7.61
10
Analysis of Variance
Sum of
Squares Mean Square
1 3.6125000
8 0.1165000
9 3.7290000
Source
DF
F Ratio
Model
3.61250 248.0687
Error
0.01456 Prob > F
C. Total
<.0001*
Parameter Estimates
Term
Estimate Std Error t Ratio Prob> |t|
Intercept
8.46 0.066097 127.99
<.0001*
X
-0.141667 0.008995
-15.75
<.0001*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18f4212a-b9c9-4726-b33c-d32ddd3ad371%2F9cfb7cca-0483-4f20-9c9b-863e6bc1b875%2Fzruvcm_processed.png&w=3840&q=75)
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