The data below shows the relationship of the average number of days of sunlight a certain tree gets per year, and the height of the tree. The data also shows the amount of fruit the tree bears.

Sunlight Exposure, Height, and Fruit Yield of a Certain Type of Tree
2 tables. A 2-column table with 6 rows. Column 1 is labeled Number of Days of Sunlight (per year) with entries 182, 190, 133, 127, 185, 161. Column 2 is labeled Height of tree (inches) with entries 49, 52, 36, 35, 50, 44. A 2-column table with 6 rows. Column 1 is labeled Number of Days of Sunlight (per year) with entries 182, 190, 133, 127, 185, 161. Column 2 is labeled Amount of Fruit Produced (pounds) with entries 110, 115, 87, 85, 112, 102.

Miguel graphed the two sets of data as shown below.

Days of Sunlight vs. Height
A graph has days of sunlight (per year) on the x-axis and height (inches) on the y-axis. Points are in a line with positive slope.
Days of Sunlight vs. Fruit Production A graph has days of sunlight (per year) on the x-axis and fruit production (pounds) on the y-axis. Points are in a line with positive slope.

Which statement is true about the association of the data sets?
Both sets have positive correlation.
Both sets have weak linear association.
Both sets have negative correlation.
There is no correlation between the sets.

Creating a plot of the datasets given using a linear regression calculator ; it is best to conclude that both datasets have a positive correlation.

The relationship between number of days of sunlight and height of plant has a positive slope with a correlation Coefficient of 0.99

Similarly, the relationship between number of days of sunlight and fruit production is also positive with a correlation Coefficient of 0.98.

Therefore, it can be concluded that both datasets have a positive correlation.

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