The variables response time to a drug and drug dosage are linearly associated, with变量对药物的反应时间和药物剂量呈线性相关，其中r = −0.9. From this information, we can conclude that:r = −0.9。根据这些信息，我们可以得出结论：

Question

BlackTom AI · Accepted Answer

The question states that the variables response time to a drug and drug dosage are linearly associated, with r = −0.9. This indicates a strong negative linear relationship between dosage and response time.

Option a: 'response times decrease with decreased drug dosage' — This states that as dosage decreases, response time decreases. That implies a positive relationship between dosage and response time, which contradicts the given negative correlation. Therefore this option misrepresents the direction of the relationship.

Option b: 'response times are −0.9 times the drug dosage' — This attempts to express a quantitative relationship, using the correlation coefficient as a multiplier on dosage. However, r = −0.9 is a correlation, not a slope or regression coefficient. It does not specify the exact units or rate of change. Treating r as a slope leads to a mistaken interpretation, making this option inaccurate.

Option c: 'response times increase with increased drug dosage' — This describes a positive relationship. Since r is negative (−0.9), higher dosage is associated with shorter (not longer) response times. Therefore this option is incorrect.

Option d: 'response times decrease with increased drug dosage' — This matches the negative correlation: as dosage goes up, response time goes down. The magnitude |r| = 0.9 indicates a strong linear association, reinforcing that the decrease in response time with higher dosage is the correct directional interpretation.

In summary, options a and c conflict with the negative sign of r, option b misuses the correlation coefficient as a slope, while option d correctly captures both the direction and strength implied by r = −0.9.

The variables response time to a drug and drug dosage are linearly associated, with变量对药物的反应时间和药物剂量呈线性相关，其中r = −0.9. From this information, we can conclude that:r = −0.9。根据这些信息，我们可以得出结论：Single choice

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