MATH225N- WEEK 8 ASSIGNMENT COEFFICIENT OF DETERMINATION

Question1

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

 

A 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.

ANSWER:

Question 2

A scientific study on bat populations gives the following data table.

 

x	y
15	19
20	16
21	18
26	25
31	21

 

A least squares regression line was found. Using technology, it was determined that the total sum of squares (SST) was 46.8 and the sum of squares of regression (SSR) was 14.55. Use these values to calculate the percent of the variability in y that can be explained by variability in the regression model. Round your answer to the nearest integer.

 

Question 3

A scientific study on speed limits gives the following data table.

 

Average speed limit	Average annual fatalities
25	16
27	29
29	38
32	71
35	93

 

Using technology, it was determined that the total sum of squares (SST) was 4029.2, the sum of squares regression (SSR) was 3968.4, and the sum of squares due to error (SSE) was 60.835. Calculate R2 and determine its meaning. Round your answer to four decimal places.

Question 4

A fishing enthusiast puts out different numbers of lines at once on several fishing trips to the same location and records the number of fish he catches on each trip. The table below shows the number of lines and number of fish caught on his trips.

 

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 of error (SSE) was 41.62. Use these values to calculate the coefficient of determination.

Select the correct answer below:

Question 5

A scientific study on citizens who live to over 100 years of age gives the following data table.

 

Age of patient	Loss of bone density
101	73
102	86
105	118
108	109
111	121

 

Using technology, it was determined that the total sum of squares (SST) was 1761.2, the sum of squares regression (SSR) was 1302.3, and the sum of squares due to error (SSE) was 458.89. Calculate R2 and determine its meaning. Round your answer to four decimal places.

 

Question 6

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.

Select the correct answer below: