The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.
x 20 40 60 80
y 0.24 1.20 1.71 2.22
a. 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"? (Hint: determine the coefficient of correlation and determination factors)
b. Determine the linear regression equation.

a)  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b)  

Now we can find the means for x and y like this:  

So the line would be given by:  

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

For our case we have this:

n=4  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

Where:  

With these we can find the sums:  

And the slope would be:  

Now we can find the means for x and y like this:  

And we can find the intercept using this:  

So the line would be given by:  

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )