Answer :

Final answer:

The scatter diagram and the coefficient of determination provide different types of information about the relationship between variables.

Explanation:

The coefficient of determination, also known as r², measures the proportion of variation in the dependent variable that can be explained by the independent variable in a linear regression model. To calculate the coefficient of determination for Exercise 3.58, you need the value of the correlation coefficient, r. The coefficient of determination is the square of the correlation coefficient, so for Exercise 3.58, if the correlation coefficient is, for example, 0.4, then the coefficient of determination would be 0.16 or 16%.

As for whether the coefficient of determination is more informative than the scatter diagram, it depends on what information you are looking for. The scatter diagram provides a visual representation of the relationship between the variables, while the coefficient of determination gives a quantitative measure of how well the regression line fits the data. Both can be useful in understanding the relationship between the variables.

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