Asked by Varun Srikanth on May 08, 2024
Verified
A correlation coefficient of .60 was found when correlating the scores of 1,000 randomly chosen individuals who took a test that measures verbal reasoning with a test that measures problem solving abilities. Which statement is true about this correlation coefficient?
A) The coefficient of determination is .60.
B) The shared variance is .49.
C) The shared variance is .36.
D) The shared variance is 1.2.
E) None of these are true.
Correlation Coefficient
The relationship between two sets of scores. Correlation coefficients range from +1 to -1 and generally are reported in decimals of one-hundredths. A positive correlation shows a tendency for scores to be related in the same direction, while a negative correlation indicates an inverse relationship.
Verbal Reasoning
The ability to understand and reason using concepts framed in words, often assessed through standardized tests.
Problem Solving
The process of identifying solutions to specific issues by employing logical and creative thinking strategies.
- Understand the concept and calculation of correlation coefficients and shared variance.
Verified Answer
ER
Emonie ReviereMay 13, 2024
Final Answer :
C
Explanation :
The shared variance between two variables, which is the proportion of variance they have in common, is found by squaring the correlation coefficient. In this case, squaring .60 gives .36, indicating that 36% of the variance in one variable is shared with the variance in the other variable.
Learning Objectives
- Understand the concept and calculation of correlation coefficients and shared variance.