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The correlation coefficient for practicing violin and getting better grades in a group of people is 0. 8. Analyze the following statement: Playing violin causes students to get better grades. Is this a reasonable conclusion? Yes; students who play violin must necessarily get better grades. Yes; the correlation coefficient is above 0. 5, so that implies causation. No; playing violin and earning better grades are completely unrelated. No; even though there is a strong positive correlation, playing violin doesn't cause students to get better grades.

Answer :

To solve the problem we must know about the correlation coefficients.

What is the correlation coefficient?

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

  • 1 indicates a strong positive relationship.
  • -1 indicates a strong negative relationship.
  • A result of zero indicates no relationship at all, therefore, independent variable.

The correlation coefficient of 0.8 denotes, the strong relationship between Playing violin and better grades.

Given to us

  • The correlation coefficient for practicing violin and getting better grades in a group of people is 0. 8.

What does the correlation coefficient of 0.8 denotes?

As we can see that the value of the correlation coefficient is 0.8, therefore, it is close to 1 means the relationship is strong, while the '+' symbol denotes that the relationship is positive.

Therefore, the correlation coefficient of 0.8 denotes, the strong relationship between Playing violin and better grades.

Hence, the correct option is B. Yes; the correlation coefficient is above 0. 5, so that implies causation.

Learn more about Correlation Coefficients:

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