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 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?

Answer 1

Answer:

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:

Answer 2

Answer:

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