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PLEASE HELP ASAP!! WILL MARK BRAINLIEST!

The table below shows the radius y, in centimeters, created by growing algae in x days:

Time (x)
(days) 1 2 3 4
Radius (y)
(cm) 3 5 7 9

Part A: What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [Choose the value of the correlation coefficient from 1, 0.99, 0.5, 0.02.] (4 points)

Part B: What is the value of the slope of the graph of radius versus time between 1 and 2 days, and what does the slope represent? (3 points)

Part C: Does the data in the table represent correlation or causation? Explain your answer. (3 points)

Respuesta :

carlosego
Part A:

 For this case we have that the relationship between time and radius is linear.
 We observe that for each day that passes, the radius increases two centimeters.
 Therefore, the linear function is:
 y = 2x
 Since the linear function is exact, the correlation coefficient is:
 r = 1
 Answer:
 r = 1

 Part B:

 As the linear function is:
 y = 2x
 So for days 1 and 2 the slope of the graph is:
 m = 2
 It means that the radius increases 2 centimeters per day.
 Answer:
 m = 2

 Part C:

 The data represents a correlation.
 This is because the data follows a linear trend.
 The radius always grows 2 centimeters for each day that passes.
 Answer:
 Correlation.