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(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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(a) Determine the equation of the estimated regression line. Temp. 174 176 177 Ratio Temp. 184 Ratio Ratio 0.75 1.40 1.45 1.12 184 Temp. 186 186 1.40 1.65 184 First, let's calculate n,' 1.54 186 where Sxy=XXi - and Sxx=x²- 178 178 184 2.08 2.16 Âo - ΣX₁ - ¹ ΣXi and Â₁ - Sxy, 1 Σ× B1 - = n (Ex)². n 188 188 X₁ <i) (x₁) n 1.02 184 ΣΣΣΣΥ, and ΣΧΥΡ The sample size is n = 24. The sum of the tank temperatures, x, = 4,404. The sum of the efficiency ratios, y = The sum of the squares of the tank temperatures, The sum of the squares of the efficiency ratios is ΣΥ The sum of the products of xy, isx- x 179 2 1.07 1.86 2.03 2.69 1.50 2.55 2.91 1.78 185 0.89 189 180 The equation of the estimated regression line for tank temperature, x, and efficiency ratio, y, is ý = Bot Box, where is the y-intercept and ₁ is equal to the slope of the line. The computational formulas for and ₁ a are as follows. 0 1.13 1.81 185 = 808,638. 1.36 190 181 186 0.89 192 3.13
Transcribed Image Text:(a) Determine the equation of the estimated regression line. Temp. 174 176 177 Ratio Temp. 184 Ratio Ratio 0.75 1.40 1.45 1.12 184 Temp. 186 186 1.40 1.65 184 First, let's calculate n,' 1.54 186 where Sxy=XXi - and Sxx=x²- 178 178 184 2.08 2.16 Âo - ΣX₁ - ¹ ΣXi and Â₁ - Sxy, 1 Σ× B1 - = n (Ex)². n 188 188 X₁ <i) (x₁) n 1.02 184 ΣΣΣΣΥ, and ΣΧΥΡ The sample size is n = 24. The sum of the tank temperatures, x, = 4,404. The sum of the efficiency ratios, y = The sum of the squares of the tank temperatures, The sum of the squares of the efficiency ratios is ΣΥ The sum of the products of xy, isx- x 179 2 1.07 1.86 2.03 2.69 1.50 2.55 2.91 1.78 185 0.89 189 180 The equation of the estimated regression line for tank temperature, x, and efficiency ratio, y, is ý = Bot Box, where is the y-intercept and ₁ is equal to the slope of the line. The computational formulas for and ₁ a are as follows. 0 1.13 1.81 185 = 808,638. 1.36 190 181 186 0.89 192 3.13
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