Question

A researcher wants to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). The researcher measures the amount of soil washed away for various flow rates, and from these data calculates the least-squares regression line to be: amount of eroded sol = 0.4 + 1.3x (wbere x is flow rate). The correlation between amount of eroded soil and flow rate would be:________
a) 1.3.
b) positive, but we canno say what the exact value is.
c) either positive or negative, but it is impossible to say anything about the correlation from the information given.
d) 11.3,

Answer 1

Answer:

b)

Step-by-step explanation:

The correlation between amount of eroded soil and flow rate would be positive because the slope is positive. The correlation coefficient cannot be determine using the given information as the information is not enough.

If we have data value or standard deviation for y and standard deviation x then the correlation coefficient can be calculated. From the given regression equation amount of eroded sol = 0.4 + 1.3x (where x is flow rate), the intercept=0.4 and slope=1.3.

We can only tell the sign of correlation coefficient by considering the sign of slope which is positive in the given scenario.

Hence, the correlation is positive but exact value cannot be determine.