Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the table shows the average number of hours of daylight per day for the…

Question

the table shows the average number of hours of daylight per day for the last four months of the year. what is the correlation coefficient for the data in the table? monthly daylight hours month of the year average hours of daylight per day 9 12.37 10 11.37 11 10.57 12 10 -0.993 -0.791 0.791 0.993

Explanation:

Step1: Observe data trend

As the month number increases (from 9 - 12), the average hours of daylight per day decreases. So, the correlation is negative.

Step2: Analyze strength of relationship

The decrease in daylight hours is quite consistent as the months progress, indicating a strong negative correlation. A correlation coefficient close to - 1 represents a strong negative linear - relationship. Among the given options, - 0.993 is the value that best represents a strong negative correlation for this data set.

Answer:

-0.993