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Question 1 Marmots are large, stocky animals. Yellow-bellied marmots are easily identified by the brownish fur on their back coupled with their yellow to orange undersides. Males are larger than females They usually weigh about ten pounds, and grow to about 30 inches. The mean length of 50 male marmots was found to be 10.74 inches with a standard deviation of 6.44 inches. The mean weight was found to be 7.7 pounds with a standard deviation of 2.64 pounds (a) Consider the scatterplot of length vs. weight. Describe the relationship between lengtlh and weight. Oo oO 2 4 6810 12 Weight 2(b) Response Variable Explanatory Variable c) 65.11% of the variation in length is explained by the least-squares regression line on weight Find the correlation, r, between length and weight.2(d) Find the slope of the least-squares regression line. e) Interpret the slope 2 (f) Find the intercept of the least-squares regression line. 3g) Interpret the intercept, is it meaningful?L (h) Construct the least-squares linear regression line of length vs. weight. (i) Use your regression equation to predict the length of a marmot that weighs 10 pounds. G) Use your regression equation to predict the length of a marmot that weighs 18 pounds. Do you trust this prediction?

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