The table below shows the surface area y in square inches, of a shrinking puddle in x hours
time (x) (hours) 2 5 8 11

surface area (y) 25 15 9 2
(square inches)

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 surface are puddle. [choose the value of the correlation coefficient from -1,-0.99,-0.5,-0.02]

part b - what is the value of the slope of the graph of surface area versus time between 5 and 8 hours and what does the slope represent?

part c- does the data in the table represent correlation or causation?

Step-by-step explanation:

Given is a table showing the surface area y in square inches, of a shrinking puddle in x hours

xy

225

515

89

112

r-0.993835256

Hence correlation coefficient is option B) -0.99

Part b:

TimeSur area

xy

225

515

89

112

r-0.993835256

slope-0.395083406

Intercept11.53731343

slope =-0.395

Between 5 and 8, slope =

Slope represents the change of y with respect to 1 unit change in x.

Part c:

Yes correlation strong and negative.

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.