Question

The accompanying data on x = current density (mA/cm2) and y = rate of deposition (µm/min) appeared in an article. Do you agree with the claim by the article's author that "a linear relationship was obtained from the tin-lead rate of deposition as a function of current density"? x 20 40 60 80 y 0.14 1.25 1.71 2.07 Find the value of r2. (Round your answer to three decimal places.) r2 =

Answer 1

92.616%

Explanation:

Given is the data of x and y where

x = current density (mA/cm2) and

y = rate of deposition (µm/min)

to find out whether there is linear relationship between x and y

x y

20 0.14

40 1.25

60 1.71

80 2.07

r 0.962364513

r^2 0.926145457

Since r is very near to 1, we find that there is a strong positive correlation and hence linearity can be assumed

r square the coefficient of determination is 0.9261 which is 92.616%

this is the measure which accounts for variation in x due to y and or variation in y due to x.