Math 253 - Chapter 10 Problems

# Math 253 - Chapter 10 Problems - Chapter 10 Problems 4 a...

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Unformatted text preview: Chapter 10 Problems 4 a) The data points seem to fit an upward curce. Out only model, so far, is a straight line (regression line). It won't fit the data points very well, so a re-expression needs to be done to straighten the line. Additionally, the scatter in price increases a lot as the Parker score increases. b) The price covers 2 1/2 decades, from 0 to 500. This implies that log(Price) might be a useful re-expression. That would also have the effect of compressing the scatter that is observed for the high Parker scores. 6 a) Not a useful re-expression. The line is still curved, but now it curves down. b) Either log(Price) or square root of Parker Score. 9 a) Speed (mph) Stack 20 64 20 62 20 59 30 114 30 118 30 105 40 153 40 171 40 165 50 231 50 203 50 238 60 317 60 321 60 276 The linear model is close, but there is still some b) Speed Stopping Squared Distance 400 64 400 62 400 59 900 114 900 118 900 105 1600 153 1600 171 1600 165 15 20 25 30 35 40 45 50 100 150 200 250 300 350 Speed (mph)...
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Math 253 - Chapter 10 Problems - Chapter 10 Problems 4 a...

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