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2. [10 points] The table provided provides data on a sample of 54 wild black bears of assorted ages, including very young bears. The variables
2. [10 points] The table provided provides data on a sample of 54 wild black bears of assorted ages, including very young bears. The variables are... 0 Weight, in pounds. 0 Chest circumference (the distance around the chest), in inches. 0 Age, in months. The data set is also available here in StatCrunch. a. [2 points] Find the mean and standard deviation of the weights. Give correct units and follow appropriate rules of rounding. b. [1 point] Find 1", the correlation, between the weight and the chest circumference. Round your answer to three places after the decimal point. AGE CHEST WEIGHT 1 9 24 1 9 23 23 26 29 30 31 27 26 26 31 28 23 33 26 29 30 28 34 38 37 33 34 35 45 34 29 26 40 46 65 94 86 79 62 60 64 1 14 76 48 140 80 105 120 90 150 148 180 166 154 150 270 AGE 34 35 44 45 45 45 51 53 55 56 57 57 57 58 58 68 70 70 81 81 82 83 83 100 104 1 15 177 CHEST WEIGHT 39 44 32 39 42 35 49 31 45 41 33 32 31 4o 50 44 48 55 54 33 48 44 54 41 35 49 43 202 212 140 204 220 182 360 144 344 262 204 125 1 16 202 365 332 316 446 416 132 356 236 514 220 166 348 436 d. [1 point] Find the equation of the least-squares regression line (also known as the line of best fit) that predicts the weight based on chest circumference. Round values to four places after the decimal point. e. [3 points] The equation of the best-fit line that predicts the chest circumference of a wild bear, based on its age, is y = 27.1327 + 0.197035. Find and interpret the slope and the yintercept of this line, including correct units. (It may not be appropriate or realistic to interpret the yintercept, but do it anyway.) e. [1 point] Use the equation from the previous problem to predict the chest circumference of a wild black hear if it is 24 months old. Round your answer to the nearest tenth, and use correct units
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