General instruction: Solve the following problem as directed. Show your solutions. All computed values should be rounded 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: Store Size Profit 1. Identify the indepondent and dependent variables (2 pts). 2. Compute for the correlation coefficient (5 pts). 3. Based on 2, explain the relationship between the two variables. Discuss the implication of this relationship (5 pts). 4. Solve for the y-intercept and the slope (5 pts). 5. Form the equation of the regression line that describes the relationship between the two variables (3pts). 6. Predict the profit of the fashion boutique business when the store measures 3800 square feet. Explain the result (5 pts). (100 sq. ft.) (R 10,000) 35 20 22 15 27 17 16 28 16 12 7 40 22 32 23 a = [»E*-(E»)][•E»* -(E»)]

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 108E
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FORECASTING - Linear Regression
General instruction: Solve the following problem as directed. Show your solutions. All computed
values should be rounded 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:
Store Size
Profit
1. Identify the independent and
dependent variables (2 pts).
2. Compute for the correlation
coefficient (5 pts).
3. Based on 2, explain the
relationship between the two
variables. Discuss the implication
of this relationship (5 pts).
4. Solve for the y-intercept and the
slope (5 pts).
5. Form the equation of the
regression line that describes the
relationship between the two
variables (3pts).
6. Predict the profit of the fashion
boutique business when the store
measures 3800 square feet.
Explain the result (5 pts).
(100 sq. ft.)
(R 10,000)
35
20
22
15
27
17
16
28
16
12
7
40
22
32
23
b=-
a =
"E-(E*
Transcribed Image Text:FORECASTING - Linear Regression General instruction: Solve the following problem as directed. Show your solutions. All computed values should be rounded 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: Store Size Profit 1. Identify the independent and dependent variables (2 pts). 2. Compute for the correlation coefficient (5 pts). 3. Based on 2, explain the relationship between the two variables. Discuss the implication of this relationship (5 pts). 4. Solve for the y-intercept and the slope (5 pts). 5. Form the equation of the regression line that describes the relationship between the two variables (3pts). 6. Predict the profit of the fashion boutique business when the store measures 3800 square feet. Explain the result (5 pts). (100 sq. ft.) (R 10,000) 35 20 22 15 27 17 16 28 16 12 7 40 22 32 23 b=- a = "E-(E*
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