A company that focuses on research and development (R&D) is interested in the relationship betweenprofit and some variables that can explain profit variations. They want to predict the profits of somenew and exciting projects because some are risky. The predictor variables considered are: RISK whichis a company derived metric, R&D which is the research and development costs, REGION (WC, ECand KZN) and average per capita income (INCOME in R1000.00).The analyst decides to estimate the regression function with the following response function.Ỹ (profit) = bo + b₁XRisk + b₂X R&D +b3Xwc + b₁XEC + b₂XINCAnswer the following questions.4.1. The analyst considered the fact that the effects of multicollinearity may influence some analyticaland visual conclusions. Use the following results to show the process of establishing by using5extra sums of squares whether there is that multicollinearity present or not. Explain and interpretin detail.SSR(X) = 2573.72, SSR(X₁) = 2600.7, SSR(X2)X₁) = 1573.72, SSR(X₁| X5) = 400.2.4.2. One of the ways to address the problem of multicollinearity is to do ridge regression. Give a shortbut detailed explanation of the motivation and application of using ridge regression.

In the given research problem, there is a dependent variable which determines the profit and is…

Answered: A company that focuses on research and…

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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Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 155 milligrams per deciliter (mg/dl) one hour after a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution with μ = 140 mg/dl and σ = 11 mg/dl.Let X = Sheila's measured glucose level one hour after a sugary drink(a) P(X > 155) = (Use 3 decimal places)Suppose measurements are made on 3 separate days and the mean result is compared with the criterion 155 mg/dl.(b) P(X > 155) = (Use 3 decimal places)(c) What sample mean blood glucose level is higher than 95% of all other sample mean blood glucose levels? Hint: this requires a backward Normal calculation. (Use 2 decimal places)
Suppose you a manager for a local car dealership, and you want to use a linear regression model to predict the price of a used car. You decide to use four predictor variables - "Age' (how long the car has been in use since it was produced), "Dents" (the number of visible dents on the outside of the car), "Accidents" (the number of accidents the car has been in), and "mpg" (the fuel efficiency of the car, measured in miles per gallon). Your dataset contains this information for the past 120 cars sold at your dealership. Using this model, your analysis finds an R² of 37%. What is the F statistic of your analysis? Note: 1- Only round your final answer. Round your final answer to two decimal places.
Many statistical textbooks define regression analysis as a statistical tool that is used mainly for description or prediction. Based on this statement, provide two examples of an application or applications using regression analysis for decision-making—one for description and one for prediction.
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If data set has a relationtionship that is best described by a linear model, then the residual plot will
What needs to change in an overall problem if one wants to use linear regression?
I need help phrasing a quantitative research question. The topic is on Health, it is focused on Widowed Americans as the dependent variable, and their quality of life (Excellent - Poor)as the independent variable. An overlapping variable would be sex (male - female).
A doctor notes the variables listed in the following table from every patient before admitting in his hospital. Which of the following variables are qualitative and which are quantitative? Which qualitative variables are nominal or ordinal? Which quantitative variables are discrete or continuous? ( 1 ) Gender (Male or Female) ( 2 ) Weight (lbs) ( 3 ) Phone Number ( 4 ) Height (cm) ( 5 ) Marital Status (Single, Married, Divorce, Widow) ( 6 ) Systolic Blood Pressure (mm of pressure) ( 7 ) Temperature (degree F) ( 8 ) Level of Calcium (microgram/milimeter) ( 9 ) Family of Income ( Amount) ( 10 ) Wihte Blood Cells
A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=140+5 mg/dl and σ=5+1 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? n=5+2 times n=5+4 times Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.
What are the interpretations of the Y intercept and the slopes in a multiple regression model?
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