Mike Wilde is president of the teachers’ union for Otsego School District. In preparing for upcoming negotiations, he is investigating the salary structure of classroom teachers in the district. He believes there are three factors that affect a teacher’s salary: years of experience, a teaching effectiveness rating given by the principal, and whether the teacher has a master’s degree. A random sample of 20 teachers resulted in the following data. Salary ($ thousands), y Years of Experience, x1 Principal's Rating, x2 Master's Degree,* x3 31.1 8 35 0 33.6 5 43 0 29.3 2 51 1 43.0 15 60 1 38.6 11 73 0 45.0 14 80 1 42.0 9 76 0 36.8 7 54 1 48.6 22 55 1 31.7 3 90 1 25.7 1 30 0 30.6 5 44 0 51.8 23 84 1 46.7 17 76 0 38.4 12 68 1 33.6 14 25 0 41.8 8 90 1 30.7 4 62 0 32.8 2 80 1 42.8 8 72 0 c. Conduct a global test of hypothesis to determine whether any of the regression coefficients differ from zero. Use the 0.05 significance level. (Round your answers to 2 decimal places.) d. Conduct a test of hypothesis for the individual regression coefficients. Would you consider deleting any of the independent variables? Use the 0.05 s

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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Mike Wilde is president of the teachers’ union for Otsego School District. In preparing for upcoming negotiations, he is investigating the salary structure of classroom teachers in the district. He believes there are three factors that affect a teacher’s salary: years of experience, a teaching effectiveness rating given by the principal, and whether the teacher has a master’s degree. A random sample of 20 teachers resulted in the following data.

Salary ($ thousands), y	Years of Experience, x₁	Principal's Rating, x₂	Master's Degree,* x₃
31.1		8		35	0
33.6		5		43	0
29.3		2		51	1
43.0		15		60	1
38.6		11		73	0
45.0		14		80	1
42.0		9		76	0
36.8		7		54	1
48.6		22		55	1
31.7		3		90	1
25.7		1		30	0
30.6		5		44	0
51.8		23		84	1
46.7		17		76	0
38.4		12		68	1
33.6		14		25	0
41.8		8		90	1
30.7		4		62	0
32.8		2		80	1
42.8		8		72	0

^{c. Conduct a global test of hypothesis to determine whether any of the regression coefficients differ from zero. Use the 0.05 significance level. (Round your answers to 2 decimal places.)}

d. Conduct a test of hypothesis for the individual regression coefficients. Would you consider deleting any of the independent variables? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)