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.

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GB126841 GB126841 · Answer 1 · 2022-04-27T20:51:13+02:00

Answer:

a is the correct option

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ayoushivt ayoushivt · Answer 2 · 2022-07-20T08:06:44+02:00

The value of the correlation coefficient is -0.993, The correct option is A.

The coefficient used to determine how strong is the relation between the two variables in the data set is the Correlation Coefficient.

The correlation coefficient is determined by using the following formula

[tex]\rm r = \dfrac{ n(\sum xy) - \sum x\sum y}{\sqrt {n\sum x^2 - (\sum x)^2 }\sqrt{n\sum y^2 - (\sum y)^2}}[/tex]

The values of the required data will be calculated from the data given

n = 4 rows

∑x = 42

∑y = 44.37

∑xy = 461.3

∑x^2 = 446

∑y^2 = 494

Putting the values in the equation of correlation coefficient:

r = -0.993

Therefore, the value of the correlation coefficient is -0.993, The correct option is A.

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