document.write( "Question 617937: In the table that follows. answer the questions\r
\n" ); document.write( "\n" ); document.write( "x y\r
\n" ); document.write( "\n" ); document.write( "1 1/4
\n" ); document.write( "2 1/2
\n" ); document.write( "3 3/4
\n" ); document.write( "4
\n" ); document.write( " \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "- Would the correlation between x and y in the table above be positive or negative?
\n" ); document.write( "
\n" ); document.write( "- Find the missing value of y in the table.
\n" ); document.write( "
\n" ); document.write( "- How would the values of this table be interpreted in terms of linear regression?
\n" ); document.write( "
\n" ); document.write( "- If a \"line of best fit\" is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #388644 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
- Would the correlation between x and y in the table above be positive or negative?
\n" ); document.write( "* the correlation would be positive
\n" ); document.write( "- Find the missing value of y in the table.
\n" ); document.write( "* the missing value is 1
\n" ); document.write( "- How would the values of this table be interpreted in terms of linear regression?
\n" ); document.write( "you would have a straight line with the equation of y = x/4
\n" ); document.write( "- If a \"line of best fit\" is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?
\n" ); document.write( "* the slope of the line is positive and the correlation would be 1 which is the best correlation you can get which means every point in the data set would be exactly on that line.
\n" ); document.write( "* here's the values from the line of best fit equation using the ti-83 calculator.
\n" ); document.write( "equation of regression line is y = ax + b
\n" ); document.write( "a = .25
\n" ); document.write( "b = 0
\n" ); document.write( "r = 1
\n" ); document.write( "* r = 1 means a perfect positive correlation which means that all the points in the data set are exactly on the line.
\n" ); document.write( "r = -1 would be a perfect negative correlation.
\n" ); document.write( "r = 0 would be no correlation at all.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );