Regression Line of X on Y

&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad1" id&equals;"quads-ad1" style&equals;"float&colon;left&semi;margin&colon;0px 0px 0px 0&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;<p align&equals;"justify">The line which expresses the trend of two observed values is called a regression line&period; For example if the sample data is given then the value of y corresponding to the given value of x can be estimated by the method of least squares&period; Now because the value of y is estimated from given value of x therefore the resulting line is called regression line of y on x which means that y is dependent on x&period; on the other hand if the value of x is estimated from given value of y then the resulting line is called regression line of x on y which means that x is dependent on y&period; <&sol;p>&NewLine;<p align&equals;"justify">The general equation of y on x is Y&equals; a&plus;bx whereas the equation of x on y is X&equals; c&plus;dy&period; Here b and d are the slope of regression lines of y on x and x on y respectively&period; a and b measure the rates of change of one variable in terms of other and are also known as the regression coefficients&period; The procedure for calculating the regression lines of y on x and x on y are given as&colon;<&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image105&period;png"><img title&equals;"image" style&equals;"border-top-width&colon; 0px&semi; display&colon; inline&semi; border-left-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-right-width&colon; 0px" height&equals;"254" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image&lowbar;thumb105&period;png" width&equals;"500" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><strong>Problem&colon;<&sol;strong> The following table shows the chart of price and demand for an item at different periods of time&period; <&sol;p>&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad2" id&equals;"quads-ad2" style&equals;"float&colon;none&semi;margin&colon;0px 0 0px 0&semi;text-align&colon;center&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<ul>&NewLine;<li>&NewLine;<div align&equals;"justify">Forecast demand for the price of &dollar; 25<&sol;div>&NewLine;<&sol;li>&NewLine;<li>&NewLine;<div align&equals;"justify">Predict price for the demand of 35 kilograms<&sol;div>&NewLine;<&sol;li>&NewLine;<&sol;ul>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image106&period;png"><img title&equals;"image" style&equals;"border-top-width&colon; 0px&semi; display&colon; inline&semi; border-left-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-right-width&colon; 0px" height&equals;"285" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image&lowbar;thumb106&period;png" width&equals;"500" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image107&period;png"><img title&equals;"image" style&equals;"border-top-width&colon; 0px&semi; display&colon; inline&semi; border-left-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-right-width&colon; 0px" height&equals;"304" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image&lowbar;thumb107&period;png" width&equals;"500" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify"><a href&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image108&period;png"><img title&equals;"image" style&equals;"border-top-width&colon; 0px&semi; display&colon; inline&semi; border-left-width&colon; 0px&semi; border-bottom-width&colon; 0px&semi; border-right-width&colon; 0px" height&equals;"306" alt&equals;"image" src&equals;"http&colon;&sol;&sol;mba-lectures&period;com&sol;wp-content&sol;uploads&sol;2010&sol;06&sol;image&lowbar;thumb108&period;png" width&equals;"500" border&equals;"0" &sol;><&sol;a> <&sol;p>&NewLine;<p align&equals;"justify">&&num;160&semi;<&sol;p>&NewLine;<p align&equals;"justify">Thus if the price of item is &dollar;25 then the demand will be 34&period;03Kg whereas in case of 35Kg demand the price will be &dollar;23&period;61&period; &NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;95 -->&NewLine;<div class&equals;"quads-location quads-ad3" id&equals;"quads-ad3" style&equals;"float&colon;none&semi;margin&colon;0px&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;&NewLine;

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