Question

the table shows the time a patient spends at the dentist and the amount of the bill. what is the correlation coefficient for the data in the table? bill amount for time spent at the dentist time spent at the dentist (in hours) bill amount 1.4 $235 2.7 $867 0.75 $156 1.6 $215 -0.93 -0.27 0.27 0.93

Explanation:

Step1: Analyze the relationship

As the time spent at the dentist increases, the bill amount also increases. This indicates a positive correlation.

Step2: Evaluate the options

Options -0.93 and -0.27 are negative correlations, so they can be eliminated. Between 0.27 and 0.93, 0.93 indicates a stronger positive correlation. Looking at the data: when time goes from 0.75 to 1.4 (increase), bill goes from 156 to 235 (increase); when time goes from 1.4 to 1.6 (increase), bill goes from 235 to 215 (slight decrease but overall trend is positive with a strong increase from 1.6 to 2.7 (time) and 215 to 867 (bill)). So the correlation is strong positive.

Answer:

0.93