document.write( "Question 1127750: In need of assistance please, as I am completely lost.\r
\n" ); document.write( "\n" ); document.write( "I was hoping to receive help understanding the following question:\r
\n" ); document.write( "\n" ); document.write( "A regression was run to determine whether there is a relationship between hours of TV watched per day(x)and number of sit-ups a person can do (y). The results of the regression are given below. Use this to predict the number of sit-ups a person who watches 11 hours of TV can do.\r
\n" ); document.write( "\n" ); document.write( "y=ax+b
\n" ); document.write( "a=−1.341
\n" ); document.write( "b=32.234
\n" ); document.write( "r=−0.896\r
\n" ); document.write( "\n" ); document.write( "What is really throwing me off is where \"r\" comes into play.\r
\n" ); document.write( "\n" ); document.write( "I am not simply seeking an answer, instead I am asking for your knowledge on how to understand this type of equation, and how to solve something such as this.\r
\n" ); document.write( "\n" ); document.write( "Thank you for your time!
\n" ); document.write( "

Algebra.Com's Answer #744223 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"x\"=hours of TV watched per day\r
\n" ); document.write( "\n" ); document.write( "\"y\" number of sit-ups a person can do\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=ax%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "if given:
\n" ); document.write( "\"x=11h\"
\n" ); document.write( "\"a=-1.341\"
\n" ); document.write( "\"b=32.234\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-1.341%2A11%2B32.234\"
\n" ); document.write( "\"y=17.483\"\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You actually do not need \"r\" to find \"y\". Also, when they say \"use this\", their meaning is \"use this formula\".\r
\n" ); document.write( "\n" ); document.write( "\"y+=+ax+%2B+b\"\r
\n" ); document.write( "\n" ); document.write( "That's a formula for some variable \"y\". In other words, if you know what \"x\" is, then you can find its associated value of \"y\". But, what does\"+y\" represent? If I told you,for example, that\"+y=27.5\" when \"x+=+5.7\", what is the meaning?\r
\n" ); document.write( "\n" ); document.write( "They gave you the values of the constants \"a\" and \"b\".\r
\n" ); document.write( "\n" ); document.write( "Anytime you're given the value of a constant, you may substitute the given value for the symbol anywhere that symbol appears.\r
\n" ); document.write( "\n" ); document.write( "Finally, they gave you a value for\"+x\". They want to know what will \"y\" be for that value of \"x\"?\r
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\n" ); document.write( "\n" ); document.write( "why \"r=-0.896\"?\r
\n" ); document.write( "\n" ); document.write( "We should compute the correlation coefficient only for data that follows a linear pattern or to determine the degree to \"which\" a data set is \"linear\".
\n" ); document.write( "If the data exhibits a nonlinear pattern, the correlation coefficient for a linear regression is meaningless.
\n" ); document.write( "To get a sense for the relationship between the value of \"+r\" and the graph of the data.\r
\n" ); document.write( "\n" ); document.write( "The correlation coefficient is a value, \"+r\" , between \"-1\" and \"1\".\r
\n" ); document.write( "\n" ); document.write( "\"r%3E0\" suggests a positive (\"increasing\") relationship
\n" ); document.write( "\"r%3C0+\" suggests a negative (\"decreasing\") relationship\r
\n" ); document.write( "\n" ); document.write( "The closer the value is to \"0\", the \"more\" \"scattered\" the data.
\n" ); document.write( "The closer the value is to \"1\" or \"-1\", the \"less\"\"+scattered\" the data is.\r
\n" ); document.write( "\n" ); document.write( " You have \"r=-0.896\". This value is very close to \"-1\", which suggests a strong \"decreasing+\"\"linear\" relationship and the data is \"less\"\"+scattered\".\r
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