Answer :
Final answer:
The correlation of +0.82 indicates a strong positive relationship between SAT scores and general intelligence test scores. As SAT scores increase, general intelligence test scores also tend to increase. Thus, option (a) is the most accurate statement.
Explanation:
Understanding Correlation in SAT Scores
The question provides a correlation coefficient of +0.82 between SAT scores and general intelligence test scores. This indicates a strong positive correlation. In simple terms, a positive correlation means that as one variable increases, the other tends to increase as well.
Analysis of Provided Statements
- a. As SAT scores increase, so do general intelligence test scores. - This statement is accurate and reflects the positive correlation.
- b. As SAT scores decrease, general intelligence scores increase. - This statement is inaccurate because it implies a negative correlation, which is not supported by the data.
- c. The relationship between SAT scores and general intelligence is positive but small. - While the correlation is positive, an r value of +0.82 indicates a strong relationship, not a small one.
- d. There is no discernible relationship between SAT scores and general intelligence. - This statement is incorrect, as the correlation indicates a significant relationship.
Given the analysis above, the best statement is (a), which correctly identifies the positive correlation between SAT scores and general intelligence test scores.
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