A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:

Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31

Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What do the slope and y-intercept of the plot indicate about the plant? (3 points)

Question

A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:

Number of hours of sunlight
(x)	0	1	2	3	4	5	6	7	8	9
Height of plant in cm
(y)	4	7	10	13	16	19	22	25	28	31

Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What do the slope and y-intercept of the plot indicate about the plant? (3 points)

mariah16 · Answer

Yes, there is a direct correlation between the amount of sunlight received and growth, this can be observed by the constant increase of 3 inches as the plant receives an hour more of sunlight.

mariah16 · Answer

y= 3x+4 
The y-intercept of the plot indicates that the plant started at 4cm and the slope indicates that with each hour of sunlight that the plant receives, the plant grows another 3 inches.