An echo sounder is tested by observing the readings obtained at known depths. The results, in meters, are given in the following table.
|
Echo sound reading
|
6
|
18
|
35
|
41
|
50
|
|
Depth of water
|
8
|
20
|
30
|
36
|
40
|
i. Plot a scatter diagram of the results with Depth of Water as the independent variable.
ii. Determine the product moment correlation coefficient of the data correct to 3 decimal places.
iii. Determine the linear regression equation of Echo Sounder Reading on Depth of Water giving the coefficients correct to 3 decimal places.
iv. What reading would you expect in 25 meters of water?