Consider the following data on 20 chemical reactions, with Y = chromatographic retention time (seconds) and X = molecular weight (gm/mole).Retention Time and Molecular Weight NameRetention TimeMolecular Weight alpha-pinene234.50 136.24 Cyclopentene95.27 68.12 p-diethylbenzene284.00 134.22 Decane250.60 142.29 Toluene174.00 92.14 Benzene135.70 78.11 2-methylpentane97.24 86.18 2,3 dimethylbutane100.70 86.18 1,7-octadiene172.20 110.20 1,2,4-trimethylbenzene262.70 120.19 2,3,4-trimethylpentane160.98 114.23 ethylcyclohexane195.07 112.22 Limonene271.50 136.24 methylcyclohexane153.57 98.19 m-diethylbenzene281.50 134.22 2,3-dimethylpentane131.83 100.20 2,2-dimethylbutane89.34 86.18 Pentane78.00 72.15 Isooctane136.90 114.23 Hexane106.00 86.18 11.value:Required information(a)Write the fitted regression equation. (Negative amount should be indicated by a minus sign.) y = x +ReferenceseBook & : MediumLearning Objective: 12-02Visual Displays and Correlation AnalysisSimple RegressionRegression TerminologyOrdinary Least Squares FormulasTests for SignificanceChapter Exercises12.value:Required information(b)Calculate R2. R2

(a) y = 2.7394x - 118.1368

             (b) R² = 0.8215 or 82.15%

Step-by-step explanation: Regression line is the best line that relates the variables in the data.

To calculate the fitted regression equation:

1) Calculate average of x-values () and average of y-values ();

2) Calculate the slope, b, by doing:

3) Calculate y-intercept, a, by doing:

4) Then, it gives regression equation: y = bx + a

For the data on chemical reactions:

(a)

b = 2.7394

a = -118.1368

y = 2.7394x - 118.1368

The fittest regression equation is y = 2.7394x - 118.1368.

(b) R is correlation coefficient and measures the strength of the relationship between the variables. It is calculated as:

For this fit, R = 0.9064

The variable R² is the coefficient of determination, is the square of correlation coefficient and is usually stated as a percent.

What the variable represents is the percent of variation in the dependent variable (y) explained by the variation in the independent variable (x).

For this fit:

0.8215

What it entails is that 82.15% of the variation of retention time is due to the molecular weight of each chemical compound.

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step-by-step explanation: