Asked by Jayson Sta Cruz on Jun 10, 2024

Verified

If the correlation coefficient r = 1.00,then all the observations must fall exactly on:

A) a straight line with a slope that equals 1.00.

B) a straight line with a negative slope.

C) a straight line with a positive slope.

D) a horizontal straight line with a zero slope.

A) a straight line with a slope that equals 1.00.

B) a straight line with a negative slope.

C) a straight line with a positive slope.

D) a horizontal straight line with a zero slope.

Correlation Coefficient

A statistical measure that quantifies the degree to which two variables vary together.

- Gain insight into how values of the correlation coefficient affect linear associations among variables.
- Comprehend the characteristics of the correlation coefficient (r) and its scope.

Verified Answer

NL

Nguyen Long Khanh _ K14 FUG CT

Jun 16, 2024

Final Answer :

C

Explanation :

A correlation coefficient of 1.00 indicates a perfect positive correlation, which means that all the observations on a scatter plot will fall perfectly on a straight line with a positive slope. A correlation coefficient of -1.00 would indicate a perfect negative correlation and a straight line with a negative slope. A correlation coefficient of 0 would indicate no correlation and the observations would be scattered randomly. A slope of 1.00 or 0 does not necessarily indicate a perfect correlation.

## Learning Objectives

- Gain insight into how values of the correlation coefficient affect linear associations among variables.
- Comprehend the characteristics of the correlation coefficient (r) and its scope.

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