a. Find the least squares line relating ratio of repair to replacement cost (y) to pipe diameter (x) on the printout. b. Locate the value of SSE on the printout. Is there an- other line with an average error of 0 that has a smaller SSE than the line, part a? Explain. c. Interpret, practically, the values ß, and ß1 . d. Use the regression line to predict the ratio of repair to replacement cost of pipe with a diameter of 800 millimeters. e. Comment on the reliability of the prediction, part d.
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- Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1350 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 18 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1375 Gy , with a sample standard deviation of 75 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1350 Gy .Listed below are numbers of enrolled students (in thousands) and number of campus burglaries from a random sample of large colleges in 2017. A) Is there sufficient evidence at alpha= 0.05 to conclude that there is a linear correlation between enrollment and burglaries?( Justify using statistics) B) After finding the undergraduate enrollment for a university in 2019, use it to predict the number of estimated burglaries on campus. Undergrad Enrollment in 2019: (in thousands). Equation used for estimate: what is the estimated number of burglaries? Enrollment 32 31 53 28 27 66 42 30 34 65 Burgalaries 94 83 86 47 32 131 157 20 27 141Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 900 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy .) A study was conducted on a sample of 27 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean of 907 Gy , with a sample standard deviation of 17 Gy . Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that μ , the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 900…