Please answer these questions as soon as possible

MATH 105 - Worksheet Week 14 Names: 1. The following data represent the gestation period in days, x, of various animals along with their life expectancy in years, y. Animal Gestation Life Expectancy Animal Gestation Life Expectancy 108 Parakeet 18 Pig 115 Rabbit 31 Squirrel 44 The regression equation for predicting life expectancy from gestation is g} = 7.874 + 0.02650. (a) Interpret the slope in context of the problem. (b) Suppose a new animal species has been discovered. After breeding the species in captivity, it is determined that the gestation period is 95 days. Use the least-squares regression line to predict the life expectancy of the animal. (c) Use the regression equation to predict the life expectancy of a parakeet. (d) Compute the residual for the parakeet. 2. A record of maintenance costs is kept for each of several cash registers throughout a department store chain. A sample of 14 registers gave the following data: Age (years) Maintenance Cost (dollars) Age (years) Maintenance Cost (dollars) 6 142 2 99 7 231 1 114 1 73 9 191 3 90 3 160 6 176 8 155 4 132 9 231 5 167 8 202 (a) Which variable is the explanatory variable and which variable is the response variable? (b) The least-squares regression equation is 3') = 78.9 + 14.73. Write one complete sentence inter- preting the slope. (c) For every 3 years increase in ageI how much would the maintenance cost increase? (d) A particular register is 8 years old. Calculate the predicted maintenance cost for this register. (e) Suppose the actual maintenance cost was $202. Calculate the residual. (f) If you owned one of these cash registers, would you prefer a negative or positive residual. Ex- plain