Question

1. students were asked how many minutes they spent working washing cars during one week. the table shows their recorded times and their weekly earnings at the end of that week. the correlation coefficient of the line of best fit for the data in the table is 0.81. based on this information, which statement is true? the correlation coefficient indicates a strong correlation, but this does not mean that spending more time washing cars causes higher earnings. the correlation coefficient indicates a strong correlation, which means that spending more time washing cars causes higher earnings. the correlation coefficient indicates no correlation, which means that spending more time washing cars does not cause higher earnings. the correlation coefficient indicates no correlation, and this does not mean that spending more time washing cars causes higher earnings. student 1 2 3 4 5 6 7 time working 60 55 80 65 65 90 75 money earned 70 70 95 80 72 85 87

Explanation:

A correlation coefficient of 0.81 is a strong positive correlation, indicating a strong linear relationship between time working (washing cars) and money earned. However, correlation does not imply causation. So a strong correlation means there's a relationship, but we can't say one causes the other. Among the options, the one stating "The correlation coefficient indicates a strong correlation, but this does not mean that spending more time washing cars causes higher earnings" is correct (the second option from the left, but based on the logic, the option that says strong correlation exists but no causation).

Answer:

The option (the second one in the list of options, text: "The correlation coefficient indicates a strong correlation, but this does not mean that spending more time washing cars causes higher earnings")