It's a dog's life ~ The life expectancy of a dog varies depending on the breed and size of the animal. Danielle wants to investigate this relationship for a data project this semester. Using information from Wikipedia, Danielle compiles a list of 47 breeds of dogs and records the average weight in pounds, Weight, and the life expectancy in years, Years, for each breed. The scatter plot and a summary of Danielle's data is given below. The correlation between Weight and Years was found to be r = -O.7531. Round all calculated answers to 4 decimal places. Life Expectancy by Average Weight co e - 3 0. o . v V I . . 9 ,_ o 0 (U .0 . a, . I O .. . >' N . 0' o .E ' o . 3 o > o o 8 ' . m 53 - 3 '6 o I (D 0 D. x 0 (D on g o _' o O o I I I I 0 20 40 60 80 Weight in pounds (Weight) "m m\" Years 11.9702 2.2012 1. The relationship between Weight and Years is best described as ??? v and ??? v . 2. Calculate the slope and intercept for the linear regression equation that predicts Years from Weight. Note: Do not use rounded values for intermediate calculations! Slope: and Intercept: 3. Fill in the blanks: The R2 value for Danielle's linear regression model of Years from weight is . This means that % of the variation in ??? v can be explained by its linear relationship to ??? v . 4. As part of her analysis, Danielle examines the residuals for her regression model to determine if the conditions for linear regression have been met. Which condition is Danielle checking with the following plot? Residuals vs. Fitted Values . N o ' I .0 .0 o O . ' I o a .. o o .. i . o o ' ' ' . I 0 . (I) on . .0 E t a ' -' '5 I ' a (D [I'll o I n Y o \"Mlllll'\" 9 1O 11 12 13 14 Fitted Values OA. Danielle is checking to see if the residuals are nearly normal. 0 B. Danielle is checking the strength of the evidence that the slope of the regression line is nonzero. O C. Danielle is checking to see if the variability of points around the least squares line is roughly constant. O D. Danielle is checking to see if the slope of the regression equation is positive or negative. 5. After Danielle presents her project in class, her classmate, Omar wants to use the results for his family's dog's breed, which was not one of the breeds in Danielle's data set. He finds the average weight of his dog's breed to be 74.7 pounds. Is it appropriate for Omar to use Danielle's regression equation to estimate the life expectancy of his dog? ??? v because QA. Regression equations can only be used to calculate confidence intervals for the slope. Q B. The value for weight for Omar's dog breed is not within the range of the data Danielle used to create the model. QC. Danielle's model is only valid for the 47 dog breeds she used to create the model. O D. The value for weight for Omar's dog breed is within the range of the data Danielle used to create the model