Question

The table shows the average number of hours of daylight per day for the last four months of the year. a 2-column table with 4 rows. the first column is labeled month of year with entries 9, 10, 11, 12. the second column is labeled average hours of daylight per day with entries 12.37, 11.37, 10.57, 10. what is the correlation coefficient for the data in the table? –0.993 –0.791 0.791 0.993

Answer 1

The correlation coefficient for the data in the table is A. –0.993

Calculations and Parameters:

Using this formula: $r = \frac{n(\sum xy)-(\sum x\sum y)}{\sqrt{n\sum x^2-(\sum x)^2}\sqrt{n\sum y^2-(\sum y)^2}}$

We would use x and y to represent the unknowns.

n = 4

We have,

• ∑x = 42,
• ∑y = 44.37 ,
• ∑xy = 461.3
• ∑x^2 = 446,
• ∑y^2 = 494

Putting these values in the formula $r = \frac{n(\sum xy)-(\sum x\sum y)}{\sqrt{n\sum x^2-(\sum x)^2}\sqrt{n\sum y^2-(\sum y)^2}}$ would bring the answer as. A. –0.993

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