The life span of a dog is often associated with its breed and mature size. 1....

 

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The life span of a dog is often associated with its breed and mature size. 1. [27 points] Below are observations of life span (years) and mature weight (lbs) for 7 female Rottweilers. Observation i 1 2 3 4 5 6 7 Σ X Life Span (years) 6.8 5.3 13.0 12.5 7.8 5.2 7.5 Y Mature Weight (lbs) 108 117 96 100 100 119. 95 X² Y2 XY Answer the questions by doing the math by hand (you can use a calculator). Fill in the table above with your calculations and show all intermediate steps/calculations. a. [9 points] Calculate the sample mean and standard deviation for life span and mature weight. For convenience let variable X indicate life span and variable Y indicate mature weight. b. [5 points] Given your answer above, within what range of mature weight would you expect 68% of your samples to fall? (note that a sample of 7 individuals is usually not enough to accurately represent a population, but assume it does for this question) c. [8 points] Two additional, adult female Rottweilers were weighed. The owners are interested in predicting their life span based upon their weight. Dogs A and B weighed 118 and 98 lbs, respectively. Based upon the data given, what would you predict the life span of each dog to be? d. [5 points] Are you confident in your prediction of life span for these dogs? In 3-4 sentences explain why or why not and show any supporting calculations (hint: you should show a calculation) The life span of a dog is often associated with its breed and mature size. 1. [27 points] Below are observations of life span (years) and mature weight (lbs) for 7 female Rottweilers. Observation i 1 2 3 4 5 6 7 Σ X Life Span (years) 6.8 5.3 13.0 12.5 7.8 5.2 7.5 Y Mature Weight (lbs) 108 117 96 100 100 119. 95 X² Y2 XY Answer the questions by doing the math by hand (you can use a calculator). Fill in the table above with your calculations and show all intermediate steps/calculations. a. [9 points] Calculate the sample mean and standard deviation for life span and mature weight. For convenience let variable X indicate life span and variable Y indicate mature weight. b. [5 points] Given your answer above, within what range of mature weight would you expect 68% of your samples to fall? (note that a sample of 7 individuals is usually not enough to accurately represent a population, but assume it does for this question) c. [8 points] Two additional, adult female Rottweilers were weighed. The owners are interested in predicting their life span based upon their weight. Dogs A and B weighed 118 and 98 lbs, respectively. Based upon the data given, what would you predict the life span of each dog to be? d. [5 points] Are you confident in your prediction of life span for these dogs? In 3-4 sentences explain why or why not and show any supporting calculations (hint: you should show a calculation)