document.write( "Question 316684: The following time series data represent the quarterly amounts spent on advertising (in millions of dollars) by a large toy company (read across): \r
\n" ); document.write( "\n" ); document.write( "Quarter 1 Quarter 2 Quarter 3 Quarter 4
\n" ); document.write( "8.2 8.4 7.2 8.3
\n" ); document.write( "8.4 9.8 9.6 9.5
\n" ); document.write( "8.3 9.3 10.9 11.1
\n" ); document.write( "10.0 10.0 9.3 11.8
\n" ); document.write( "11.5 11.8 11.4 10.8
\n" ); document.write( "10.7 \r
\n" ); document.write( "\n" ); document.write( "This series of data begins in Quarter of (i.e., time period corresponds to the first quarter of ). Using regression analysis, a linear trend line of the form was fit to the data. Using this information, generate a forecast for the total yearly amount of money that will be spent on advertising in .
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Algebra.Com's Answer #226880 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Find the yearly cost by adding quarter by quarter for each of the 5 years.
\n" ); document.write( "(1,32.1)
\n" ); document.write( "(2,37.3)
\n" ); document.write( "(3,39.6)
\n" ); document.write( "(4,41.1)
\n" ); document.write( "(5,45.5)
\n" ); document.write( "Fit this with a linear model,
\n" ); document.write( "\"xave=3\"
\n" ); document.write( "\"yave=39.1\"
\n" ); document.write( "\"+SSXY=30.6\"
\n" ); document.write( "\"+SSXX=10\"
\n" ); document.write( "\"+SSYY=97.448\"
\n" ); document.write( "\"+b=SSXY%2FSSXX=3.06\"
\n" ); document.write( "\"+b%27=SSXY%2FSSYY=0.314\"
\n" ); document.write( "\"+r%5E2=b%2Ab%27=0.961\"
\n" ); document.write( "\"+a=yave-b%2Axave=29.94\"
\n" ); document.write( "\"+y=3.06x%2B29.94+\"
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\n" ); document.write( "where x-Year, y-Advertising Cost in millions
\n" ); document.write( "You can then use this model to forecast future costs.
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