the table shows the average number of hours of daylight per day for the last four months of the year. what…

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

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

Answer

Explanation:

Step1: Identify data sets

Let $x$ be month number ($9, 10, 11, 12$) and $y$ be average - daylight hours ($12.37, 11.37, 10.57, 10$).

Step2: Observe trend

As the month number $x$ increases, the average - daylight hours $y$ decreases. So the correlation is negative.

Step3: Analyze strength

The relationship seems to be quite strong as the decrease in daylight hours is relatively consistent as the months progress. A value close to - 1 indicates a strong negative linear relationship.

Answer:

-0.993