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"?

col1 x 20 40 60 80
col2 y 0.24 1.10 1.71 2.12
Find the value of r2. (Round your answer to three decimal places.)

So then the correlation coefficient would be r =0.98726

And the determination coeffcient would be:

And that means that the a linear model will explain about 97.5% of the variability in the data. So for this case we can conclude that we have a strong linear relationship.

Step-by-step explanation:

Data given

col1 x 20 40 60 80

col2 y 0.24 1.10 1.71 2.12

Solution to the problem

We can find the correlation coefficient we can use this formula:  

For our case we have this:

n=4  

So then the correlation coefficient would be r =0.98726

And the determination coeffcient would be:

And that means that the a linear model will explain about 97.5% of the variability in the data. So for this case we can conclude that we have a strong linear relationship.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)