A student 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?

yes there is a linear correlation

reason : a increase of 1 hour results in an increase of 3 height

y= 3x + 4

it has  a positive slope of 3 ,and y intercept of 4

Step-by-step explanation:

Part A: Yes

Part B: y = 3x + 4

Part C: Slope: the height increases at a rate of 3 cm per hour of sunlight

y-intercept: initial height, without any sunlight is 4 cm

Step-by-step explanation:

As x increases by 1 unit, y increases by 3. Therefore there is a correlation between the variables

Slope: (7-4)/(1-0) = 3/1 = 3

y-intercept is at x = 0, which is 4

Equation:

y = 3x + 4

Slope: the height increases at a rate of 3 cm per hour of sunlight

y-intercept: initial height, without any sunlight is 4 cm

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

g

step-by-step explanation: