The data in the table show the number of years it took for selected technological innovations to
Question:
The data in the table show the number of years it took for selected technological innovations to spread to 25% of the U.S. population. The data are also in file XR17062. For y = years to spread and x = years past 1800 (e.g., the code for 1975 is 175), generate a scatter diagram and apply an appropriate polynomial model to fit the data. Does there appear to be any relationship between the variables? How much of the variation in dissemination time is explained by the model? Using your model, predict how long it will take for a major technological invention that is invented in 2015 to spread to 25% of the U.S. population.
Transcribed Image Text:
Year Code 5 Years to Invention Spread Home electricity (1873) Telephone (1875) Automobile (1885) Radio (1906) Television (1925) VCR (1952) Microwave oven (1953) Personal computer (1975) Cellular phone (1983) 35 85 106 125 152 153 175 183 26 15 13
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The thirdorder polynomial model is a reasonably good fit to the data The equation is Years to Spread ...View the full answer
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