The document contains a table with percentages of defects and temperature readings for 11 samples. It then performs a linear regression analysis to find the line of best fit between the two variables. The regression line is determined to be y = 0.4998x + 3.0018, with y representing % of defects and x representing temperature.

1. % de defectos Temperatura % de defectos Temperatura
8.04 10 100 64.6 80.4 10 8.04
6.95 8 64 48.3 55.6 8 6.95
7.58 13 169 57.5 98.5 13 7.58
8.81 9 81 77.6 79.3 9 8.81
8.33 11 121 69.4 91.6 11 8.33
9.96 14 196 99.2 139.4 14 9.96
7.24 6 36 52.4 43.4 6 7.24
4.26 4 16 18.1 17.0 4 4.26
10.83 12 144 117.3 130.0 12 10.83
4.82 7 49 23.2 33.7 7 4.82
5.68 5 25 32.3 28.4 5 5.68
82.5 99 1001 659.96 797.48
𝒙 𝟏
𝟐
𝒚 𝟏
𝟐 𝒙 𝟏 𝒚 𝟏𝒙 𝟏𝒚 𝟏 𝒙 𝟏
෍
𝒀 𝟏
= ෍
𝑿 𝟏
= ෍
𝑿 𝟏
𝟐
= ෍
𝒀 𝟏
𝟐
= ෍
𝑿 𝟏 𝒀 𝟏
=
y = 0.4998x + 3.0018
2
4
6
8
10
12
%dedefectos
% de defectos con respecto a la temperatura
𝒚 𝟏
ത𝑦 = A + B ҧ𝑥
B =
σ 𝑥𝑦 − 𝑛 ҧ𝑥ത𝑦
σ 𝑥2 −𝑛 ҧ𝑥2 ҧ𝑥 =
σ 𝑥
𝑛
=
99
11
= 9
ത𝑦 =
σ 𝑦
𝑛
=
82.5
11
= 7.5B =
797.48 − (11)(9)(7.5)
1001 − (11)(9)2
B = 0.4998
A = ത𝑦 − B ҧ𝑥
A = 7.5 − 0.4998 (9)

2. 0
0 2 4 6 8 10 12 14 16
Temperatura
A = 3.0018