Linear Regression Lines Worksheet

Linear Regression Lines Worksheet - Here are the rates of a...

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Linear Regression Lines (Lines of Best Fit) 1. In the Boston Marathon, there is a relationship between runner injuries and the temperature at the time of the race. The table shows the data for 8 years. Temperature in degrees Fahrenheit % of runners injured 46 4.7 72 12.3 59 6.5 56 5.9 54 6.6 70 10.3 68 8.4 48 4.0 (a) Fit a linear regression line (or line of best fit) to the data. Round to 3 decimal places. (b) Enter the equation from part (a) into your calculator and make a ROUGH sketch of your calculator’s graph screen. (c) Use your regression line to predict the percentage of runners injured if the marathon was run on a day when the temperature was 82 ° F. (d) Interpret the meaning of the slope of your regression line. 2. Postal rates have been figured by the ounce since July 1, 1885.
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Unformatted text preview: Here are the rates of a first-class postage stamp for the past 36 years: January 7, 1963 5 cents January 7, 1968 6 cents May 16, 1971 8 cents March 2, 1974 10 cents December 31, 1975 13 cents May 29, 1978 15 cents March 22, 1981 18 cents November 1, 1981 20 cents February 17, 1985 22 cents April 3, 1988 25 cents February 3, 1991 29 cents January 1, 1995 32 cents January 1, 1999 33 cents (a) Using the year only, fit a linear regression line to the data. (b) Using the line of best fit, predict the cost of mailing a one ounce first class letter in the year 2003. (c) Using the line of best fit, predict the year in which the cost of a first class postage stamp will be $1. (d) Interpret the meaning of the slope of the linear regression line....
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