Solve for the y-intercept and the slope. Form the equation of the regression line that describes the relationship between the two variables. Predict the profit of the fashion boutique business when the store measures 3,800 square feet. Explain the result.

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
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  1. Solve for the y-intercept and the slope.
  2. Form the equation of the regression line that describes the relationship between the two variables.
  3. Predict the profit of the fashion boutique business when the store measures 3,800 square feet. Explain the result.
FORECASTING - Linear Regression
General instruction: Solve the following problem as directed. Show your solutions. All computed
values should be reunded off to three decimal places. Show your answers clearly.
Lizzie wants to open a fashion boutique business. Before selecting a location, she
would like to be able to predict the profit in pesos that the store maybe expected to earn per
hundred square feet of selling space. She gathers the following data:
Transcribed Image Text:FORECASTING - Linear Regression General instruction: Solve the following problem as directed. Show your solutions. All computed values should be reunded off to three decimal places. Show your answers clearly. Lizzie wants to open a fashion boutique business. Before selecting a location, she would like to be able to predict the profit in pesos that the store maybe expected to earn per hundred square feet of selling space. She gathers the following data:
x2
y
20
y2
400
xy
700
35
1225
22
15
484
225
330
27
17
729
289
459
16
256
81
144
16
448
256
49
28
784
12
144
84
40
22
1600
484
880
529
Σ2313
32
23
1024
736
Ex = 212
ΣΥ- 129
Σχ26246
Σν= 3781
(8x3781)-(212x129)
[(8×6246)–(212)*][(8×2313)–(129)*]
2900
5024×1863
=0. 948
Transcribed Image Text:x2 y 20 y2 400 xy 700 35 1225 22 15 484 225 330 27 17 729 289 459 16 256 81 144 16 448 256 49 28 784 12 144 84 40 22 1600 484 880 529 Σ2313 32 23 1024 736 Ex = 212 ΣΥ- 129 Σχ26246 Σν= 3781 (8x3781)-(212x129) [(8×6246)–(212)*][(8×2313)–(129)*] 2900 5024×1863 =0. 948
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