1. How many ways can eight different types of soaps be displayed on a shelf in a grocery store?
1 answer:
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Answer: (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
<u>The fittest regression equation is </u><u>y = 2.7394x - 118.1368</u>.
(b) R is <u>correlation coefficient</u> 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.