For parts: a,b,c,d,eJob TitleSalaryLarge CompanyUS EmployerRemoteData Science Consultant64369101Head of Data Science85000000Head of Data230000101Machine Learning Engineer125000011Data Analytics Manager120000011Data Science Engineer127543101Manager Data Science144000111Data Scientist13400101Data Scientist75966101Data Scientist150000011Data Engineering Manager153000111Data Engineer90000111Data Analyst90000011Data Analyst60000011Data Scientist50000101Applied Data Scientist54376101Machine Learning Engineer47681001Director of Data Science154963101Data Engineer28801101Data Analytics Engineer110000111Research Scientist83000101Data Analyst59601001Data Analyst80000001Data Engineer140000111Data Analytics Engineer79866101Lead Data Analyst170000111Data Analyst80000011BI Data Analyst100000011Data Scientist53641101Head of Data235000111BI Data Analyst150000101Machine Learning Scientist225000111Data Science Consultant77481001Marketing Data Analyst89402101Lead Data Engineer103750001Director of Data Engineering114125001Machine Learning Engineer95362101Data Engineer30509101Data Engineer150000011Data Engineer115000011Research Scientist187917101Data Analyst51814101BI Data Analyst36732101Data Engineer150000111Computer Vision Software Engineer96554001Computer Vision Software Engineer70000011Financial Data Analyst450000111Cloud Data Engineer89514101Data Scientist29831101Lead Data Engineer276000110Cloud Data Engineer160000001Data Engineer200000111Data Engineering Manager174000111Data Analyst93000111Data Scientist28475001Research Scientist61270101Data Scientist90000011Principal Data Analyst170000011Data Engineer96833101Data Engineer13105000Data Scientist36952101Data Engineer72625101Big Data Architect99956001Data Scientist165000111Data Analyst80000111Data Scientist103954101Data Engineer21695001Research Scientist63971001Head of Data Science110000010Data Architect180000111Data Analyst200000111Director of Data Engineering200000111ML Engineer256000011Data Engineer110000111Data Engineer72500111Machine Learning Engineer185000111Research Scientist100000100Data Engineer112000111Data Scientist21843101AI Scientist55000101Data Scientist58000111Data Scientist100000011Data Scientist78340001Machine Learning Engineer85000001Data Science Consultant77481100Data Engineer65561001Data Engineer30337001Data Engineer111775010Data Engineer93150010Lead Data Engineer160000001Data Scientist25747001Machine Learning Engineer66442100Data Scientist16949001Data Analyst64369101Director of Data Science143043100Big Data Engineer16271101Data Analyst71968001Data Scientist135000110Machine Learning Engineer25032001Data Science Manager54238101Machine Learning Engineer24407101BI Data Analyst9272001Data Scientist147000111Research Scientist96357101Data Science Manager174000111Machine Learning Engineer21844001Data Science Consultant70329001Data Analytics Engineer50000001Data Engineer4000001Data Engineer26224100Data Scientist91500101Big Data Engineer22671100Data Scientist5695001Machine Learning Engineer81000011Data Scientist40798101Data Scientist2876000Data Science Consultant90000011Data Scientist61985001Machine Learning Infrastructure Engineer195000011Data Scientist38144101Machine Learning Scientist225000111Data Scientist56578101Data Scientist33899000Data Scientist117583101Machine Learning Engineer47129101Machine Learning Engineer89402001Data Scientist89402101Data Engineer66400001Research Scientist57217001Machine Learning Engineer25032101Data Analytics Manager120000110Machine Learning Engineer200000111Data Scientist160000111Research Scientist50000001Data Science Engineer40529001Principal Data Engineer600000111Data Scientist13000000Data Engineer165000010Big Data Engineer5898100Principal Data Engineer185000111Data Scientist91500101Data Analytics Manager140000111Data Scientist87961001Finance Data Analyst62250101Data Engineer77481001Machine Learning Engineer74000001Data Science Manager152000111Big Data Engineer18000000Data Scientist130000111Computer Vision Engineer19052000Business Data Analyst59601101Principal Data Scientist175228001Data Scientist47204001Data Scientist4000000AI Scientist18102001Data Scientist115000111Principal Data Scientist235000111Lead Data Analyst19661101Data Analyst75000110Data Analyst62000110Data Scientist73000110Data Engineer45773101Director of Data Science168000000Data Scientist119353001Applied Machine Learning Scientist423000111Data Engineer28608101Data Specialist165000111Principal Data Scientist151000111Data Science Manager94917101 1. Data science is one of the fastest growing business functions, which is reflected in salaries for data science jobs. Because thework is done almost entirely using computers, such jobs can usually be performed remotely. The Covid pandemic has maderemote work more common. To determine how remote work affects salaries, a dataset with a sample of 169 data science jobscan be found below. The dataset includes the following variables:Job TitleSalary (US $) - annual salary in US dollarsLarge Company – dummy variable indicating whether the company has more than 250 employees (1=yes, 0=no)US Company – dummy variable indicating whether the company is US-based (1=yes, 0=no) Remote – dummy variableindicating whether the job is remote (1=yes, 0=no)a) Using the below", estimate a simple linear regression to predict Salary using only Remote as an independent variable. Howwell does the model fit the dependent variable? Report the relevant value and briefly explain.b) What is the estimated slope coefficient for the model estimated in part (a)? Interpret that slope coefficient. Is there a linearrelationship between the independent and dependent variables at a= .05? Report the relevant test statistic and p-value forthat test statistic.c) Now estimate a multiple linear regression to predict Salary using all available independent variables: Large Company, USCompany, and Remote (do not include Job Title). Write the estimated regression equation.d) Is the model estimated in part (c) statistically significant at the a = .05 level? Write the null and alternative hypotheses for thistest, the appropriate test statistic, the p-value for that test statistic, as well as your conclusion.e) Which independent variables (if any) in the model estimated in part (c) are related to the dependent variable Salary at the a =.05 level, given the other independent variables in the model? Include relevant values from the data output to support yourconclusions.

Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Answered: Data science is one of the fastest…

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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For parts: a,b,c,d,e

Job Title	Salary	Large Company	US Employer	Remote
Data Science Consultant	64369	1	0	1
Head of Data Science	85000	0	0	0
Head of Data	230000	1	0	1
Machine Learning Engineer	125000	0	1	1
Data Analytics Manager	120000	0	1	1
Data Science Engineer	127543	1	0	1
Manager Data Science	144000	1	1	1
Data Scientist	13400	1	0	1
Data Scientist	75966	1	0	1
Data Scientist	150000	0	1	1
Data Engineering Manager	153000	1	1	1
Data Engineer	90000	1	1	1
Data Analyst	90000	0	1	1
Data Analyst	60000	0	1	1
Data Scientist	50000	1	0	1
Applied Data Scientist	54376	1	0	1
Machine Learning Engineer	47681	0	0	1
Director of Data Science	154963	1	0	1
Data Engineer	28801	1	0	1
Data Analytics Engineer	110000	1	1	1
Research Scientist	83000	1	0	1
Data Analyst	59601	0	0	1
Data Analyst	80000	0	0	1
Data Engineer	140000	1	1	1
Data Analytics Engineer	79866	1	0	1
Lead Data Analyst	170000	1	1	1
Data Analyst	80000	0	1	1
BI Data Analyst	100000	0	1	1
Data Scientist	53641	1	0	1
Head of Data	235000	1	1	1
BI Data Analyst	150000	1	0	1
Machine Learning Scientist	225000	1	1	1
Data Science Consultant	77481	0	0	1
Marketing Data Analyst	89402	1	0	1
Lead Data Engineer	103750	0	0	1
Director of Data Engineering	114125	0	0	1
Machine Learning Engineer	95362	1	0	1
Data Engineer	30509	1	0	1
Data Engineer	150000	0	1	1
Data Engineer	115000	0	1	1
Research Scientist	187917	1	0	1
Data Analyst	51814	1	0	1
BI Data Analyst	36732	1	0	1
Data Engineer	150000	1	1	1
Computer Vision Software Engineer	96554	0	0	1
Computer Vision Software Engineer	70000	0	1	1
Financial Data Analyst	450000	1	1	1
Cloud Data Engineer	89514	1	0	1
Data Scientist	29831	1	0	1
Lead Data Engineer	276000	1	1	0
Cloud Data Engineer	160000	0	0	1
Data Engineer	200000	1	1	1
Data Engineering Manager	174000	1	1	1
Data Analyst	93000	1	1	1
Data Scientist	28475	0	0	1
Research Scientist	61270	1	0	1
Data Scientist	90000	0	1	1
Principal Data Analyst	170000	0	1	1
Data Engineer	96833	1	0	1
Data Engineer	13105	0	0	0
Data Scientist	36952	1	0	1
Data Engineer	72625	1	0	1
Big Data Architect	99956	0	0	1
Data Scientist	165000	1	1	1
Data Analyst	80000	1	1	1
Data Scientist	103954	1	0	1
Data Engineer	21695	0	0	1
Research Scientist	63971	0	0	1
Head of Data Science	110000	0	1	0
Data Architect	180000	1	1	1
Data Analyst	200000	1	1	1
Director of Data Engineering	200000	1	1	1
ML Engineer	256000	0	1	1
Data Engineer	110000	1	1	1
Data Engineer	72500	1	1	1
Machine Learning Engineer	185000	1	1	1
Research Scientist	100000	1	0	0
Data Engineer	112000	1	1	1
Data Scientist	21843	1	0	1
AI Scientist	55000	1	0	1
Data Scientist	58000	1	1	1
Data Scientist	100000	0	1	1
Data Scientist	78340	0	0	1
Machine Learning Engineer	85000	0	0	1
Data Science Consultant	77481	1	0	0
Data Engineer	65561	0	0	1
Data Engineer	30337	0	0	1
Data Engineer	111775	0	1	0
Data Engineer	93150	0	1	0
Lead Data Engineer	160000	0	0	1
Data Scientist	25747	0	0	1
Machine Learning Engineer	66442	1	0	0
Data Scientist	16949	0	0	1
Data Analyst	64369	1	0	1
Director of Data Science	143043	1	0	0
Big Data Engineer	16271	1	0	1
Data Analyst	71968	0	0	1
Data Scientist	135000	1	1	0
Machine Learning Engineer	25032	0	0	1
Data Science Manager	54238	1	0	1
Machine Learning Engineer	24407	1	0	1
BI Data Analyst	9272	0	0	1
Data Scientist	147000	1	1	1
Research Scientist	96357	1	0	1
Data Science Manager	174000	1	1	1
Machine Learning Engineer	21844	0	0	1
Data Science Consultant	70329	0	0	1
Data Analytics Engineer	50000	0	0	1
Data Engineer	4000	0	0	1
Data Engineer	26224	1	0	0
Data Scientist	91500	1	0	1
Big Data Engineer	22671	1	0	0
Data Scientist	5695	0	0	1
Machine Learning Engineer	81000	0	1	1
Data Scientist	40798	1	0	1
Data Scientist	2876	0	0	0
Data Science Consultant	90000	0	1	1
Data Scientist	61985	0	0	1
Machine Learning Infrastructure Engineer	195000	0	1	1
Data Scientist	38144	1	0	1
Machine Learning Scientist	225000	1	1	1
Data Scientist	56578	1	0	1
Data Scientist	33899	0	0	0
Data Scientist	117583	1	0	1
Machine Learning Engineer	47129	1	0	1
Machine Learning Engineer	89402	0	0	1
Data Scientist	89402	1	0	1
Data Engineer	66400	0	0	1
Research Scientist	57217	0	0	1
Machine Learning Engineer	25032	1	0	1
Data Analytics Manager	120000	1	1	0
Machine Learning Engineer	200000	1	1	1
Data Scientist	160000	1	1	1
Research Scientist	50000	0	0	1
Data Science Engineer	40529	0	0	1
Principal Data Engineer	600000	1	1	1
Data Scientist	13000	0	0	0
Data Engineer	165000	0	1	0
Big Data Engineer	5898	1	0	0
Principal Data Engineer	185000	1	1	1
Data Scientist	91500	1	0	1
Data Analytics Manager	140000	1	1	1
Data Scientist	87961	0	0	1
Finance Data Analyst	62250	1	0	1
Data Engineer	77481	0	0	1
Machine Learning Engineer	74000	0	0	1
Data Science Manager	152000	1	1	1
Big Data Engineer	18000	0	0	0
Data Scientist	130000	1	1	1
Computer Vision Engineer	19052	0	0	0
Business Data Analyst	59601	1	0	1
Principal Data Scientist	175228	0	0	1
Data Scientist	47204	0	0	1
Data Scientist	4000	0	0	0
AI Scientist	18102	0	0	1
Data Scientist	115000	1	1	1
Principal Data Scientist	235000	1	1	1
Lead Data Analyst	19661	1	0	1
Data Analyst	75000	1	1	0
Data Analyst	62000	1	1	0
Data Scientist	73000	1	1	0
Data Engineer	45773	1	0	1
Director of Data Science	168000	0	0	0
Data Scientist	119353	0	0	1
Applied Machine Learning Scientist	423000	1	1	1
Data Engineer	28608	1	0	1
Data Specialist	165000	1	1	1
Principal Data Scientist	151000	1	1	1
Data Science Manager	94917	1	0	1