The accompanying data was read from a graph. The independent variable is s02 dep

Question

The accompanying data was read from a graph. The independent variable is s02 deposition rate (mg/m2/d) and the dependent variable is steel weight loss (9/m2 x 12 18 40 43 45112 y 250 350 460 500 560 1200 (a) Construct a scatter plot. 1200 1000 800 600 400 200 1200 1000 800 600 400 200 E 20 40 60 80 100 120 20 40 60 80 100 120 1200 1200 1000 800 600 400 200 1000 600 400 20 20 40 60 8 100 120 0 20 40 60 80 100 120 0 0 Does the simple linear regression model appear to be reasonable in this situation?

Explanation / Answer

Ans:

b)

slope,b=(6*208800-270*3320)/(6*18486-270^2)=9.38

y-intercept=(3320-9.375*270)/6=131.46

Regression eqn:

y'=9.38x+131.46

c)correlation cofficient=0.994

d)y*=7.80x+177.38

Yes,there is significant difference.

x y xy x^2 y^2 1 12 250 3000 144 62500 2 18 350 6300 324 122500 3 40 460 18400 1600 211600 4 43 500 21500 1849 250000 5 45 560 25200 2025 313600 6 112 1200 134400 12544 1440000 Total 270 3320 208800 18486 2400200 slope,b= 9.38 y-intercept= 131.46

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