Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets(ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 20 community banks include the ROA (%), the efficiency ratio (%), as ameasure of bank productivity (the lower the efficiency ratio, the better), and total risk-based capital (%), as a measure of capital adequacy. Complete parts (a) through (g) below.Click the icon to view the data table.a. State the multiple regression equation.Let X₁¡ represent the efficiency ratio (%) and let X₂¡ represent the total risk-based capital (%).Ŷ₁=+X₁₁+Xzi(Round the constant to two decimal places as needed. Round the coefficients to four decimal places as needed.)Distribution CostsROA (%)1.040.770.141.440.901.161.071.581.451.151.173.400.860.660.811.140.830.861.141.04TOlalEfficiency Risk-BasedRatio (%)Capital (%)68.1461.7193.7670.5262.9766.0164.8241.9049.4753.5157.0486.4364.2359.1677.3256.3267.3759.5774.0669.4816.8016.3012.9322.8613.5615.5513.8617.2616.0312.4614.8124.3814.2019.7622.8616.1015.7616.4214.7018.47-X

If you have two independent variables with one response variable then the multiple regression…

Answered: a. State the multiple regression…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A regression analysis between cost to build a clinic (in dollars) and clinic size (in square foot) resulted in the following equation: y=75+6x. This implies that if the clinic size is 800 square feet, then the cost to build a clinic (in dollars) is?
Consider the estimated relationship: Ý = 50 + 50X +21Z. Based on this regression equation, select all the statements which are True. Controlling for X, the value of Y decreases by 21 units for 1 unit increase in Z. The average value of Y when X=0 and Z=0 is 50. Controlling for Z, the value of Y increases by 50 units for 1 unit increase in X. Controlling for X, the value of Y increases by 100 units for 1 unit increase in Z.
Automobile racing, high-performance driving schools, and driver education programs run by automobile clubs continue to grow in popularity. All these activities require the participant to wear a helmet that is certified by the Snell Memorial Foundation, a not-for-profit organization dedicated to research, education, testing, and development of helmet safety standards. Snel| "SA" (Sports Application) rated professional helmets are designed for auto racing and provide extreme impact resistance and high fire protection. One of the key factors in selecting a helmet is weight, since lower weight helmets tend to place less stress on the neck. The following data show the weight and price for 18 SA helmets (SoloRacer website). Helmet Weight (oz) Price ($) Pyrotect Pro Airflow 64 241 Pyrotect Pro Airflow Graphics 64 276 RCi Full Face 64 202 RaceQuip RidgeLine 64 197 HJC AR-10 58 291 HJC Si-12 47 708 HJC HX-10 49 910 Impact Racing Super Sport 59 331 Zamp FSA-1 66 197 Zamp RZ-2 58 292 Zamp RZ-2…
There is a linear relationship between the number of chirps made by the stiped ground cricket and the air temperature. It was determined that the linear regression model is: y = 25.2 + 3.3x where x is the number of chirps per minute and y is the estimated temperature in degrees Fahrenheit. What is the predicted number of chirps made when the temperature is 60 degrees Fahrenheit? Round to the nearest integer. Do not include units.
Regression analysis was applied between sales (Y) and advertising (X) in a company selling computers. the following regression model was obtained: Y =5000+7.25X If advertisement = 3000, then what will be the predicted value of sales? Select one: O A. 41250 O B. 23125 O C. 26750 O D. None of these
A researcher is interested in finding out the factors which determined the yearly spending on family outings last year (Y, measured in dollars). She compiles data on the number of members in a family (X1), the annual income of the family (X2), and the number of times the family went out on an outing in the last year (X3). She collects data from 196 families and estimates the following regression: Y=120.45+1.54X1+2.12X2+2.12X3. Suppose β1, β2, β3, denote the population slope coefficients of X1, X2, and X3, respectively. The researcher wants to check if neither X1 nor X2 have a significant effect on Y or at least one of them has a significant effect, keeping X3 constant. She calculates the value of the F-statistic for the test with the two restrictions (H0: β1=0, β2=0 vs. H1: β1≠0 and/or β2≠0) to be 3.00. The p-value for the test will be enter your response here?
The table shows the total square footage (in billions) of retailing space at shopping centers and their sales (in billions of dollars) for 10 years. The equation of the regression line is y = 516.388x - 1699.161. Complete parts a and b. Total Square Footage, X Sales, y 4.9 5.1 5.2 5.4 5.6 5.7 ********** (a) Find the coefficient of determination and interpret the result. 5.9 5.8 (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? 5.9 883.3 937.6 986.3 1059.5 1107.2 1200.9 1281.1 1340.8 1438.2 1536. 6.2 OA. The coefficient of determination is the fraction of the variation in sales that can be explained by the variation in total square footage. The remaining fraction of the variation is unexplained and is due to other factors or to sampling error. OB. The coefficient of determination is the fraction of the variation in sales that is unexplained and is due to other factors or sampling error. The remaining fraction of the variation is…
The managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c Click the icon to view the monthly data. a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costs = 247733.3 +(43.2000) x Billable Hours (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm? Interpret the fixed term, bo. if appropriate. Choose the correct answer below. OA. The value of by is the predicted overhead costs for 0 billable hours. OB. For each increase of 1 unit in overhead costs, the predicted billable hours are estimated to increase by bo OC. It is not appropriate to interpret by. because its value is the predicted…
Use Excel to Run the Regressions:1. Wage and Age: Do you think a worker’s wage is related to his/her age? It is expected that wagesincrease with age up to certain age, after that wages go down. The “Wage Quadratic Data” fileposted contains data on the hourly wage (in $) for construction workers, workers’ ageand whether the worker has a bachelor’s degree or not (Graduate equals 1 if the worker has abachelor’s degree and 0 otherwise). Use the data file to answer the following questions:A) Build a model to predict the hourly wage of construction workers based on their education andage.B) Use the model to predict the hourly wage for a college graduate construction worker if his/herage is 30, 50, and 70c) Based on your model, calculate the age at which the hourly wage for construction workers ismaximized.
In simple linear regression, the coefficient of determination measures: a.The amount of variability of the y variable that is explained by the x variable b.The amount of variability of the x variable that is explained by the y variable c.The amount of variability between the treatments d.The amount of variability within the treatments
The City of Bellmore’s police chief believes that maintenance costs on high-mileage police vehicles are much higher than those costs for low-mileage vehicles. If high-mileage vehicles are costing too much, it may be more economical to purchase more vehicles. An analyst in the department regresses yearly maintenance costs (Y) for a sample of 200 police vehicles on each vehicle’s total mileage for the year (X). The regression equation finds: Y = $50 + .030X with a r2 of .90 What is the IV? What is the DV? If the mileage increases by one mile, what is the predicted increase in maintenance costs? If a vehicle’s mileage for the year is 50,000, what is its predicted maintenance costs? What does an r2 of .90 tell us? Is this a strong or weak correlation? How can you tell?
In multiple regression, when all independent variables are considered but the order in which they are added to the model is determined by the amount it contributes to the dependent variable, it is called: a.Two step b.Stepwise c.Simultaneous d.Backward step

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

a. State the multiple regression equation. Let X₁¡ represent the efficiency ratio (%) and let X2, represent the total risk-based capital (%). Ŷ₁ = + (x1+x₂i (Round the constant to two decimal places as needed. Round the coefficients to four decimal places as needed.)