document.write( "Question 1204047: Potato chip lovers do not like soggy chips, so it is important to find characteristics of the production process that produces chips with an appealing texture.\r
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document.write( "The following sample data on the frying time (in seconds) and moisture content (%) of potato chips were collected:\r
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document.write( " Frying time (X) Moisture content (Y)
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document.write( " 65 1.4
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document.write( " 50 1.9
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document.write( " 35 3
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document.write( " 30 3.4
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document.write( " 20 4.2
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document.write( " 15 8.1
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document.write( " 10 9.7
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document.write( " 5 16.3
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document.write( "3.1 Draw a scatter diagram to represent the two variables.
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document.write( "3.2 Calculate the Pearson’s correlation coefficient.
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document.write( "3.3 Comment on the strength of the relationship between the two variables.
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document.write( "3.4 Determine the linear regression equation.
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document.write( "3.5 Estimate the moisture content of chips that were fried for 25 seconds.
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Algebra.Com's Answer #840150 by Theo(13342)![]() ![]() You can put this solution on YOUR website! linear regression calculator at https://stats.blue/Stats_Suite/correlation_regression_calculator.html was used.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "inputs and results are shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "answers to your questions are shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3.1 Draw a scatter diagram to represent the two variables.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "see above.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3.2 Calculate the Pearson’s correlation coefficient.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "correlation correlation coefficient is r = -.8197.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3.3 Comment on the strength of the relationship between the two variables.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "strength of the relationship is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3.4 Determine the linear regression equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -.2018 * x + 11.8029\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-.2018 is the slope. \n" ); document.write( "11.8029 is the y-intercept. \n" ); document.write( "slope is the change in the value of y divided by the corresponding change in x. \n" ); document.write( "y-intercept is the value of y when the value of x is 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3.5 Estimate the moisture content of chips that were fried for 25 seconds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "moisture content for chips that were fried for 25 seconds is equal to 6.1525.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a reference on r and r^2 value in a linear regression.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.youtube.com/watch?v=Q-TtIPF0fCU\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "video is fairly short so it shouldn't take up too much of your time (about 6 minutes).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |