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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

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7. A phosphorescent material can glow in the dark by absorbing energy from light and then gradually re-emitting it. The following table shows the light levels for a phosphorescent plastic. Time (h) Light Level (lumens) 0 0.860 1 0.695 2 0.562 3 0.455 456 0.367 0.305 0.247 a) Create a scatter plot for the data. b) Perform a quadratic regression. Record the equation of the curve of best fit and the coefficient of determination. c) Repeat part b) for an exponential regression. d) Compare how well these two models fit the data. e) According to each model, what will be the light level after 10 h? f) Which of these two models is superior for extrapolating beyond 6 h? Explain. Explain how you could minimize the effects of extraneous variables in a correlation study. Provide an example of a reverse cause-and- effect relationship.

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