Answer:
B. The coefficient of determination is 54.76%. Therefore, 54.76% of the variation in weight can be explained by the regression line.
Step-by-step explanation:
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
The coefficient of determination is a measure to quantify how a model explains an dependent variable.
The formula for the correlation coeffcient is given by:
The formula for the coefficient of determination is
In our case the correlation coefficient obtained was 0.74
And the determination coefficient is , and if we convert this into % we got 54.76%
Assume that height is the predictor (X) and weight is the response (Y)
And the best answer for this case is:
B. The coefficient of determination is 54.76%. Therefore, 54.76% of the variation in weight can be explained by the regression line.