A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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please help 5.

(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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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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