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03: (12 points) A firm called BetaFix developed proprietary software that corrects beta estimates. The only known information about their top-secret algorithm is that the
03: (12 points) A firm called "BetaFix" developed proprietary software that corrects beta estimates. The only known information about their top-secret algorithm is that the transformation of betas that it carries out is linear. You ask for a demonstration and provide two values of uncorrected betas: 1.6 and 0.3. The "BetaFix 2.1" (a particularly luxurious appliance that, in addition to correcting betas, also brews coffee from recycled rubber tires and flavors it with used printer toner) goes to work and, after 16 minutes of energy-draining calculations, provides the two corrected betas: 1.3 and 0.52, respectively. You think for a split second and declare your unwillingness to pay even a single dime for this appliance because you know exactly how it works (and the coffee" it makes most likely is toxic). The "BetaFix" sales representative stares at you in disbelief, challenging you to provide the corrected value of beta if the uncorrected beta is 1.1. You smirk, write down the correct answer on a piece of paper, and pass it to the sales representative. The sales representative reads your response, gasps, and decides to eat that piece of paper. What was written on it before it forever disappeared in the sales representative's digestive system
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