MATH 225N Week 8 Assignment Coefficient 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.
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.
