Math Problem Statement
data-9_24_2024-12_40 PM.xlsx
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a. Develop a regression model to predict price-to-book-value ratio based on return on equity. ModifyingAbove Upper Y with caret Subscript iequals
enter your response hereplus
enter your response hereUpper X Subscript 1 i (Round to four decimal places as needed.)
Solution
The dataset consists of three columns:
- Price/Book Value Ratio
- Return on Equity
- Growth%
To develop the regression model that predicts the Price/Book Value Ratio based on the Return on Equity, we will fit a simple linear regression model. I will proceed with the regression and round the coefficients to four decimal places.The linear regression model to predict the Price-to-Book Value Ratio based on Return on Equity is:
Where:
- is the predicted Price-to-Book Value Ratio.
- is the Return on Equity.
Would you like further details on the regression analysis, or do you have any questions?
Here are 5 related questions for deeper exploration:
- How does the model's accuracy compare to other possible predictors?
- Can we add the Growth% variable to improve the model's performance?
- How do we interpret the coefficient of the model in practical terms?
- What assumptions are we making when using linear regression here?
- Can we use this model for future predictions if new data is available?
Tip: Always check the residuals of the model to ensure that the linearity assumption holds.
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Predictive Modeling
Statistics
Formulas
Simple Linear Regression Formula: Y = β0 + β1X
Theorems
Ordinary Least Squares (OLS) Method
Suitable Grade Level
College/University
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