Question

When laboratory rats are exposed to asbestos fibers, some of the develop lung tumors. The table lists the results of several experiments by different scientists a. Find the regression line for the data. (Use your calculator) b. What percent of mice develop lung tumors if they have Asbestos exposure of 4000 fibers/mL, according to your model? Asbestos Percent of Mice that develop lung tumors 42 Percent of Mice that develop lung tumors 2 Asbestos Exposure (fibers/mL) 50 Exposure (fibers/mL) 1600 1800 37 6 400 38 2000 500 3000 50 10 900 26 1100

Answer 1

We can linearly regress the line.

So,

y=a+b*x

sum(y)=216

sum(x)=11350

sum(x^2)=21232500

sum(x*y)=402400

So,

Σν)Σx)- (Σκ) Σxy) n(Σx2) - (Σκ)2 n (Σαν)- (Σx)Σ) n (Σx?)- (Σκ)?

a=0.30480

b=0.01878

So, percentage at exposure i.e. x=4000 is

y=a+4000*b=75.4614