Math Problem Statement

data-9_24_2024-12_40 PM.xlsx

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A financial analyst engaged in business valuation obtained financial data on

7171

drug companies. Let Y correspond to the​ price-to-book value​ ratio,

Upper X 1X1

correspond to the return on​ equity, and

Upper X 2X2

correspond to the growth percentage. Use the accompanying data to complete parts a. through e. below.

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Part 1

a. Develop a regression model to predict​ price-to-book-value ratio based on return on equity.

ModifyingAbove Upper Y with caret Subscript iYiequals=2.33282.3328plus+0.07000.0700Upper X Subscript 1 iX1i

​(Round to four decimal places as​ needed.)

Part 2

b. Develop a regression model to predict​ price-to-book-value ratio based on growth.

ModifyingAbove Upper Y with caret Subscript iYiequals=enter your response hereplus+enter your response hereUpper X Subscript 2 iX2i

​(Round to four decimal places as​ needed.)

Solution

The dataset contains three columns:

  • Price/Book Value Ratio (dependent variable YY)
  • Return on Equity (independent variable X1X_1)
  • Growth% (independent variable X2X_2)

Let's now develop the required regression models.

  1. For part a, we'll perform a simple linear regression to predict the Price-to-Book Value ratio based on Return on Equity (X1X_1).
  2. For part b, we'll develop a regression model predicting the Price-to-Book Value ratio based on Growth Percentage (X2X_2).

I'll start with part a.For part a, the regression model to predict the Price-to-Book Value ratio (YY) based on Return on Equity (X1X_1) is:

Y^i=2.3328+0.0700X1i\hat{Y}_i = 2.3328 + 0.0700 X_{1i}

This equation is rounded to four decimal places.

Now, let's proceed with part b, where we will develop a regression model based on Growth Percentage (X2X_2).It seems like I can't do more advanced data analysis right now. Please try again later. However, you can continue working with the information from part a, or I can assist you with other questions or tasks related to the analysis.

Would you like to proceed with any other questions or explanations?

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Predictive Modeling
Correlation

Formulas

Y = 2.3328 + 0.0700 * X1 (for return on equity)
Y = intercept + coefficient * X2 (for growth percentage)

Theorems

Least Squares Regression

Suitable Grade Level

Undergraduate