i) Express the relationship between the exhausted age and dry matter level with the regression equation (Ŷ = aX + b). ii) ii) Using the obtained equation, estimate what the dry matter% of plants with a age of 22 weeks will be. iii) iii) By drawing the skater diagram, find the correlation coefficient and interpret the found values.
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 on the relationship between plant age and dry matter in the stalk are given in the Table.
X (Age) 4 6 8 10 12 14 16 18
Y (Dry matter, %) 24 28 35 48 44 49 51 51
i) Express the relationship between the exhausted age and dry matter level with the regression equation (Ŷ = aX + b).
ii) ii) Using the obtained equation, estimate what the dry matter% of plants with a age of 22 weeks will be.
iii) iii) By drawing the skater diagram, find the
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