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# (ANSWER)MATH225N- WEEK 8 ASSIGNMENT COEFFICIENT OF DETERMINATION

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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.

## 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.

## 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.

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