(a) Determine the equation of the estimated regression line. Temp. Ratio 174 176 177 0.75 1.40 1.45 Temp. 184 184 Ratio 1.40 1.65 1.54 Temp. 186 186 Ratio 184 186 178 178 1.12 184 184 2.08 2.16 188 1.02 βο - Σν-βι Σ× and β, - Sm 1 = 5xx Π S. where sx = Σ× - (Σ») (Σ») Π and Sxx => Π First, let's calculate n, Σ× ΣΥΣ? ΣΥ? and Σ ΣΣΣΣΥ, The sample size is n = 24. The sum of the tank temperatures, Σ×, = 4,404. The sum of the efficiency ratios, ΣΥ; = 188 179 180 1.07 1.13 1.81 0.89 185 185 186 189 181 1.86 2.03 2.69 1.50 2.55 2.91 1.78 3.13 The equation of the estimated regression line for tank temperature, x, and efficiency ratio, y, is P-Bot Box, where β o is the y-intercept and Î, is equal to the slope of the line. The computational formulas for ßo and β, are as follows. 1.36 0.89 190 192
(a) Determine the equation of the estimated regression line. Temp. Ratio 174 176 177 0.75 1.40 1.45 Temp. 184 184 Ratio 1.40 1.65 1.54 Temp. 186 186 Ratio 184 186 178 178 1.12 184 184 2.08 2.16 188 1.02 βο - Σν-βι Σ× and β, - Sm 1 = 5xx Π S. where sx = Σ× - (Σ») (Σ») Π and Sxx => Π First, let's calculate n, Σ× ΣΥΣ? ΣΥ? and Σ ΣΣΣΣΥ, The sample size is n = 24. The sum of the tank temperatures, Σ×, = 4,404. The sum of the efficiency ratios, ΣΥ; = 188 179 180 1.07 1.13 1.81 0.89 185 185 186 189 181 1.86 2.03 2.69 1.50 2.55 2.91 1.78 3.13 The equation of the estimated regression line for tank temperature, x, and efficiency ratio, y, is P-Bot Box, where β o is the y-intercept and Î, is equal to the slope of the line. The computational formulas for ßo and β, are as follows. 1.36 0.89 190 192
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.4: Linear Regression
Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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