MATH 225N Week 8 Assignment Coefficient of Determination

Week 8 Stats Assignment Coefficiet of Determination
Compute and interpret the coefficient of determination

Question
A medical experiment on tumor growth gives the following data table.

x y
57 38
61 50
63 76
68 97
72 113
The least squares regression line was found. Using technology, it was determined
that the total sum of squares (SST) was 3922.8 and the sum of squares of
regression (SSR) was 3789.0. Calculate R2, rounded to three decimal places.
CORRECT ANSWER: 0.966 Correct! You nailed it.
R2=SSRSST
R2=3789.03922.8
R2=0.966
Compute and interpret the coefficient of determination

Question
A scientific study on mesothelioma caused by asbestos gives the following data
table.

Micrograms of asbestos Area of scar
inhaled tissue (cm2)
58 162
62 189
63 188
67 215
70 184
Using technology, it was determined that the total sum of
squares (SST) was 1421.2 and the sum of squares due to
error (SSE) was 903.51. Calculate R2 and determine its meaning. Round your
answer to four decimal places. Correct answer:
R2=0.3643. Great work! That's correct.


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