Solution for problem R12.5 Chapter 12
Light intensity In physics class, the intensity of a
The Practice of Statistics | 4th Edition
Light intensity In physics class, the intensity of a 100-watt light bulb was measured by a sensor at various distances from the light source. A scatterplot of the data is shown below. Note that a candela (cd) is a unit of luminous intensity in the International System of Units. Physics textbooks suggest that the relationship between light intensity y and distance x should follow an inverse square law, that is, a power law model of the form y ? ax 2. We transformed the distance measurements by squaring them and then taking their reciprocals. Some computer output and a residual plot from a least-squares regression analysis on the transformed data are shown below. Note that the horizontal axis on the residual plot displays predicted light intensity. Predictor Coef SE Coef T P Constant 0.000595 0.001821 0.33 0.751 Distance^( 2) 0.299624 0.003237 92.56 0.000 S ? 0.00248369 R-Sq ? 99.9% R-Sq(adj) ? 99.9% (a) Did this transformation achieve linearity? Give appropriate evidence to justify your answer. (b) What would you predict for the intensity of a 100-watt bulb at a distance of 2.1 meters? Show your work. s Use transformations involving logarithms to achieve linearity for a relationship between two variables. s Determine which of several transformations does a better job of producing a linear relationship.
The Flow of Energy Jean Baptista Van Helmont Flemish scientist in Belgium Used empirical formal/inductive reasoning to discover things Spontaneous Generation o Idea that living matter arises from inanimate matter o Experiment: Mice arise from wheat and fabric 1. Put bucket of wheat and fabric in corner for a month = MICE! o Incorrectly concluded spontaneous generation is real o Did NOT have a control o Incorrectly concluded that plants mass is from water/plants are made from water Plants are made from air Photosynthesis converts CO2 into sugar using energy of the sun Sugar is the building blocks of all other organic compounds
Chapter 12, Problem R12.5 is Solved
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Light intensity In physics class, the intensity of a