MATH225N Week 8: Coefficient of Determination

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CLASS:

MATH225N – Statistical Reasoning for the Health Sciences

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MATH225N Week 8 Coefficient of Determination

Question

A new mine opened and the number of dump truck loads of material removed was recorded. The table below shows the number of dump truck loads of material removed and the number of days since the mine opened.

Days (since opening)	# of dump truck loads
2	45
5	53
8	60
9	60
12	67

The least squares regression line was found. Using technology, it was determined that the total sum of squares (SST) was 278.0 and the sum of squares of regression (SSR) was 274.3. Use these values to calculate the coefficient of determination. Round your answer to three decimal places.

Ans: 0.987

Question

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

Micrograms of asbestos inhaled	Area of scar 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.

Ans: R2=0.3643

Question

A scientific study on fishing gives the following data table.

Fishing Lines	Fish Caught
4	13
5	15
7	25
11	29
12	26

Using technology, it was determined that the total sum of squares (SST) was 203.20 and the sum of squares due to error (SSE) was 41.62. Calculate R2 and determine its meaning. Round your answer to four decimal places.

Ans: 0.7952…………………….purchase all questions and answers at $10 only