Question

Provided a detailed summary of what the squaring of a correlation coefficient be useful to understanding the relationship between two variables

Only partially provided a summary of what the squaring of a correlation coefficient be useful to understanding the relationship between two variables

Answer 1

Correlation- The logical relationship between the two variable is called the correlation and the strength off the correlation is measured by the correlation coefficient, it is denoted by the r.

R²=r*r

When we take square, it will be a R², it is called the coefficient of the determination or R-square.

R²=0.95; in percentage 95%, that means the 95 variation is explained by the independent variable to predict the dependent variable.

Is R² is more than the 75% then we can say there is very strong variation is explained by the variable.

R² of a model is 0.50, then approximately half of the observed variation can be explained by the model's inputs.