Consider a regression study involving a dependent variable y, a quantitative independent variable ₁, and a categorical independent variable with three possible levels (level 1, level 2, and level 3).a. How many dummy variables are required to represent the categorical variable?b. Write a multiple regression equation relating ₁ and the categorical variable to y.1. E(y) Bo + B₁x12. E(y) = Bo + B3. E(y) Bo + B3X34. E(y) Bo + B₁x1 + B₂+ B35. E(y) = Bo + B₁x1 + B₂x₂ + B3X3Select your answer - VEnter the values of dummy variables 2 and 3 that are used to indicate the three levels of the categorical variable.Level12=3100X2VV001X3c. Interpret the parameters in your regression equation.B₂= E(yllevel 2) - E(y|level1) ✓B3 = E(y level3) - E(y|level2) ✓B₁ is the change in E(y) for a 1 unit change in [x2✓ holding the categorical variable constant.

Dependent variable y quantitative independent variable x1 and categorical independent variable with…

Answered: Consider a regression study involving a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The manager of the Bayville police department motor pool wants to develop a forecast model for annual maintenance on police cars, based on mileage in the past year and age of the cars. The following data have been collected for eight different cars: a. Using Excel, develop a multiple regression equation for these data. b. What is the coefficient of determination for this regression equation? c. Forecast the annual maintenance cost for a police car that is 5 years old and will be driven 10,000 miles in 1 year.
What is the difference between the following two regression equations? y=b0+b1x y=B0+B1x
I need help answering this question.
Mike's Stables has two different possible cost drivers (trainer hours and number of horses) for budgeting the cost of horses training. The most recent results of the two regression analysis are as follows: Trainer's hours: SUMMARY OUTPUT – Regression Results Regression Statistics R Square 0.56 Coefficients t Stat Intercept 1,004.65 4.61 X Variable 1 $22.99 7.11 Number of horses: SUMMARY OUTPUT – Regression Results Regression Statistics R Square 0.63 Coefficients t Stat Intercept $5,240.95 4.44 X Variable 1 $951.48 3.50 What is the estimated total training horses cost for the coming year if 15,000 trainer hours are incurred and the stable has 350 horses to be trained, based upon the best cost driver?
If the R-squared for a regression model relating the outcome y to an explanatory variable x is 0.9. This implies that there is a positive linear relationship between y and x. True or false?
1. The variable is the variable whose value can be explained by the variable: a.lurking; response b.response; predictor c. response; lurking d. predictor; response 2. Which of the following statements about linear regression is/are FALSE I. Assumes that the errors are uncorrelated II. correlation is sometimes influenced by the units of measures III. assumes a linear relationship between dependent and independent variables a. I only b. I &II only c. II only d. I, II & III
A researcher conducted a number of descriptive statistics for two variables X and Y. They were as follows: SP = 15; SSx = 3; My = 7; Mx = 3 What is b equal to (Please include the sign: e.g., -20)? What is a equal to (please include the sign: e.g., +4.0)? Using b and a construct a regression equation, and then using the regression equation, calculate the value of predicted Y when X = 2?
1. Consider the following regression model: Fram Risk Score; = Bo + B1 × Health Insurance; + u¿ The Framingham Risk Score predicts 10-year risk of cardiovascular disease based on age, cholesterol levels, blood pressure, blood sugar, use of medication for high blood pressure, and smoking. A higher score means worse overall cardiovascular health. A researcher who collects data and regresses the Fram Risk Score against Health Insurance (= 1 if have insurance) finds that B, 2. Consider the following regression model: Class Average; = Bo + B1 x Office Hours; + u; Class Average is the students' average grade in the class at the end of the term and Office Hours is the number of office hours held by the instructor over the entire term. A researcher who collects data and regresses Class Average against Office Hours finds that, surprisingly, B V A V A
3) What is the use of regression analysis (Please support your answer with a suitable example)? Driving Experience (years) Monthly Auto Insurance Premium 5 $64 2 87 12 50 9 71 15 44 6 56 25 42 16 60 Does the insurance premium depend on the driving experience or does the driving experience depend on the insurance premium? Do you expect a positive or a negative relationship between these two variables?
1. School administrators believe their freshman applications are influenced by two variables: tuition and the size of the applicant pool of eligible high school seniors in the state. The following data for an 8-year period show the tuition rates (per semester) and the sizes of the applicant pool for each year: Tuition in pesos Applicants Pool Applicants 27000 76,200 11,060 37500 78,050 10,900 41250 67,420 8,670 42000 70,390 9.050 46500 62,550 7,400 48750 59,230 7,100 52500 57,900 6,300 57900 60,080 6,100
1.64 and 1.63 is incorrect please help ()()))
14. The regression equation and the standard error of estimate Stewart Fleishman specializes in the psychiatric aspects of symptom management in cancer patients. Pain, depression, and fatigue can appear as single symptoms, in conjunction with one other symptom, or all together in patients with cancer. You are interested in testing a new kind of exercise therapy for the treatment of the simultaneous clustering of fatigue and depression in cancer patients. The following scores represent the decrease in symptom intensity (on a 10-point scale) following the new exercise therapy. Scores Patient Fatigue (X) Depression (Y) A 0 10 B 2 6 C 4 7 D 6 1 E 8 2.5 Create a scatter plot of these scores on the grid. For each of the five (X, Y) pairs, drag the orange points (square symbol) in the upper-right corner of the diagram to the appropriate location on the grid. Scores02468101086420DEPRESSIONFATIGUE Calculate the means and…

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