Astudent is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. the table below 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. part b. write a function which best fits the data. part c. what does the slope and y-intercept of the plot indicate about the plant?

The given data isx (hours):   0    1    2    3      4    5      6      7      8      9y (cm):       4    7    10    13    16    19    22    25    28    31where x = the number of hours that a plant receives sunlight,y = the height of the plant in cm.part a.a graph of the raw data (shown below) indicates that a strong linear correlation may exist  between y and x.part b.by performing  linear regression, the line of best fit to the data isy = 3.0x + 4with r² = 1.00the correlation coefficient of r² = 1 indicates that the regression line is a perfect fit to the data.part c.the slope of 3.0 indicates  that the plant grows by 3.0 cm for every 1 hour of exposure to sunlight.the y-intercept of 4.0 indicates that  the plant was 4.0 cm high when the experiment began.