Refer to the Baseball 2018 data, which reports information on the 2018 Major League Baseball season. Let attendance be the dependent variable and total team salary be the independent variable. Determine the regression equation and answer the following questions. Click here for the Excel Data File Team Salary Year Stadium Opened Attendance Net Worth League ($ mil) HR BA Wins ERA mil $ bil National 143.32 176 0.235 82 3.72 1998 2.242695 1.21 National 130.6 175 0.257 90 3.75 2017 2.555781 1.625 American 127.63 188 0.239 47 5.18 1992 1.564192 1.2 American 227.4 208 0.268 108 3.75 1912 2.895575 2.8 National 194.26 167 0.258 95 3.65 1914 3.181089 2.9 American 71.84 182 0.241 62 4.84 1991 1.608817 1.5 National 100.31 172 0.254 67 4.63 2003 1.629356 1.01 American 142.8 216 0.259 91 3.77 1994 1.926701 1.045 National 143.97 210 0.256 91 4.33 1995 3.01588 1.1 American 130.96 135 0.241 64 4.58 2000 1.85697 1.225 American 163.52 205 0.255 103 3.11 2000 2.980549 1.65 American 129.94 155 0.245 58 4.94 1973 1.665107 1.015 American 173.78 214 0.242 80 4.15 1966 3.020216 1.8 National 199.58 235 0.25 92 3.38 1962 3.8575 3 National 91.82 128 0.237 63 4.76 2012 0.811104 1 National 108.98 218 0.252 96 3.73 2001 2.850875 1.03 American 115.51 166 0.25 78 4.5 2010 1.959197 1.15 National 150.19 170 0.234 77 4.07 2009 2.224995 2.1 American 179.6 267 0.249 100 3.78 2009 3.482855 4 American 80.32 227 0.252 97 3.81 1966 1.573616 1.02 National 104.3 186 0.234 80 4.14 2004 2.158124 1.7 National 91.03 157 0.254 82 4 2001 1.465316 1.26 National 101.34 162 0.235 66 4.4 2004 2.168536 1.27 American 205.67 176 0.254 89 4.13 2000 2.299489 2.85 National 160.99 133 0.239 73 3.95 1999 3.156185 1.45 National 163.78 205 0.249 88 3.85 2006 3.403587 1.9 American 68.81 150 0.258 90 3.74 1990 1.154973 0.9 American 140.63 194 0.24 67 4.92 1994 2.107107 1.6 American 150.95 217 0.244 73 4.85 1989 2.325281 1.35 National 181.38 191 0.254 82 4.04 2008 2.529604 1.675 a-1. Draw a scatter diagram. 1. On the graph below, use the point tool to plot the point corresponding to the Attendance and its team salary (Salary 1). 2. Repeat the process for the remainder of the sample Salary 2, Salary 3, … ). 3. To enter exact coordinates, double-click on the point and enter the exact coordinates of x and y. a-2. From the diagram, does there seem to be a direct relationship between the two variables? multiple choice 1 Yes No b. What is the expected attendance for a team with a salary of $100.0 million? (Round your answer to 4 decimal places.) c. If the owners pay an additional $30 million, how many more people could they expect to attend? (Round your answer to 3 decimal places.)

Refer to the Baseball 2018 data, which reports information on the 2018 Major League Baseball season. Let attendance be the dependent variable and total team salary be the independent variable. Determine the regression equation and answer the following questions. Click here for the Excel Data File Team Salary Year Stadium Opened Attendance Net Worth League ($ mil) HR BA Wins ERA mil $ bil National 143.32 176 0.235 82 3.72 1998 2.242695 1.21 National 130.6 175 0.257 90 3.75 2017 2.555781 1.625 American 127.63 188 0.239 47 5.18 1992 1.564192 1.2 American 227.4 208 0.268 108 3.75 1912 2.895575 2.8 National 194.26 167 0.258 95 3.65 1914 3.181089 2.9 American 71.84 182 0.241 62 4.84 1991 1.608817 1.5 National 100.31 172 0.254 67 4.63 2003 1.629356 1.01 American 142.8 216 0.259 91 3.77 1994 1.926701 1.045 National 143.97 210 0.256 91 4.33 1995 3.01588 1.1 American 130.96 135 0.241 64 4.58 2000 1.85697 1.225 American 163.52 205 0.255 103 3.11 2000 2.980549 1.65 American 129.94 155 0.245 58 4.94 1973 1.665107 1.015 American 173.78 214 0.242 80 4.15 1966 3.020216 1.8 National 199.58 235 0.25 92 3.38 1962 3.8575 3 National 91.82 128 0.237 63 4.76 2012 0.811104 1 National 108.98 218 0.252 96 3.73 2001 2.850875 1.03 American 115.51 166 0.25 78 4.5 2010 1.959197 1.15 National 150.19 170 0.234 77 4.07 2009 2.224995 2.1 American 179.6 267 0.249 100 3.78 2009 3.482855 4 American 80.32 227 0.252 97 3.81 1966 1.573616 1.02 National 104.3 186 0.234 80 4.14 2004 2.158124 1.7 National 91.03 157 0.254 82 4 2001 1.465316 1.26 National 101.34 162 0.235 66 4.4 2004 2.168536 1.27 American 205.67 176 0.254 89 4.13 2000 2.299489 2.85 National 160.99 133 0.239 73 3.95 1999 3.156185 1.45 National 163.78 205 0.249 88 3.85 2006 3.403587 1.9 American 68.81 150 0.258 90 3.74 1990 1.154973 0.9 American 140.63 194 0.24 67 4.92 1994 2.107107 1.6 American 150.95 217 0.244 73 4.85 1989 2.325281 1.35 National 181.38 191 0.254 82 4.04 2008 2.529604 1.675 a-1. Draw a scatter diagram. 1. On the graph below, use the point tool to plot the point corresponding to the Attendance and its team salary (Salary 1). 2. Repeat the process for the remainder of the sample Salary 2, Salary 3, … ). 3. To enter exact coordinates, double-click on the point and enter the exact coordinates of x and y. a-2. From the diagram, does there seem to be a direct relationship between the two variables? multiple choice 1 Yes No b. What is the expected attendance for a team with a salary of $100.0 million? (Round your answer to 4 decimal places.) c. If the owners pay an additional $30 million, how many more people could they expect to attend? (Round your answer to 3 decimal places.)

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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	Team Salary					Year Stadium Opened	Attendance	Net Worth
League	($ mil)	HR	BA	Wins	ERA	mil	$ bil
National	143.32	176	0.235	82	3.72	1998	2.242695	1.21
National	130.6	175	0.257	90	3.75	2017	2.555781	1.625
American	127.63	188	0.239	47	5.18	1992	1.564192	1.2
American	227.4	208	0.268	108	3.75	1912	2.895575	2.8
National	194.26	167	0.258	95	3.65	1914	3.181089	2.9
American	71.84	182	0.241	62	4.84	1991	1.608817	1.5
National	100.31	172	0.254	67	4.63	2003	1.629356	1.01
American	142.8	216	0.259	91	3.77	1994	1.926701	1.045
National	143.97	210	0.256	91	4.33	1995	3.01588	1.1
American	130.96	135	0.241	64	4.58	2000	1.85697	1.225
American	163.52	205	0.255	103	3.11	2000	2.980549	1.65
American	129.94	155	0.245	58	4.94	1973	1.665107	1.015
American	173.78	214	0.242	80	4.15	1966	3.020216	1.8
National	199.58	235	0.25	92	3.38	1962	3.8575	3
National	91.82	128	0.237	63	4.76	2012	0.811104	1
National	108.98	218	0.252	96	3.73	2001	2.850875	1.03
American	115.51	166	0.25	78	4.5	2010	1.959197	1.15
National	150.19	170	0.234	77	4.07	2009	2.224995	2.1
American	179.6	267	0.249	100	3.78	2009	3.482855	4
American	80.32	227	0.252	97	3.81	1966	1.573616	1.02
National	104.3	186	0.234	80	4.14	2004	2.158124	1.7
National	91.03	157	0.254	82	4	2001	1.465316	1.26
National	101.34	162	0.235	66	4.4	2004	2.168536	1.27
American	205.67	176	0.254	89	4.13	2000	2.299489	2.85
National	160.99	133	0.239	73	3.95	1999	3.156185	1.45
National	163.78	205	0.249	88	3.85	2006	3.403587	1.9
American	68.81	150	0.258	90	3.74	1990	1.154973	0.9
American	140.63	194	0.24	67	4.92	1994	2.107107	1.6
American	150.95	217	0.244	73	4.85	1989	2.325281	1.35
National	181.38	191	0.254	82	4.04	2008	2.529604	1.675

a-1. Draw a scatter diagram.

1. On the graph below, use the point tool to plot the point corresponding to the Attendance and its team salary (Salary 1).

2. Repeat the process for the remainder of the sample Salary 2, Salary 3, … ).

3. To enter exact coordinates, double-click on the point and enter the exact coordinates of x and y.

a-2. From the diagram, does there seem to be a direct relationship between the two variables?

multiple choice 1

b. What is the expected attendance for a team with a salary of $100.0 million? (Round your answer to 4 decimal places.)

c. If the owners pay an additional $30 million, how many more people could they expect to attend? (Round your answer to 3 decimal places.)

d-1. State the null and alternate hypotheses.

multiple choice 2

H₀: β = 0 and H₁: β < 0
H₀: β > 0 and H₁: β ≤ 0
H₀: β < 0 and H₁: β ≥ 0
H₀: β ≤ 0 and H₁: β > 0

d-2. State the decision rule. (Round your answer to 3 decimal places.)

d-3. Compute the value of the test statistic. Use the 0.05 significance level. (Round your answer to 4 decimal places.)

d-4. What is your decision regarding H₀?

d-5. Can we conclude that the slope of the regression line is positive?

multiple choice 3

e. What percentage of the variation in attendance is accounted for by salary? (Round your answer to 2 decimal places.)

f-1. Determine the correlation between attendance and team batting average and between attendance and team ERA. (Negative amount should be indicated by a minus sign. Round your answers to 4 decimal places.)

f-2 Which has a stronger correlation between the variables?

f-3. State the null and alternate hypotheses for attendance and batting.

multiple choice 4

H₀: ρ = 0 and H₁: ρ < 0
H₀: ρ > 0 and H₁: ρ ≤ 0
H₀: ρ < 0 and H₁: ρ ≥ 0
H₀: ρ ≤ 0 and H₁: ρ > 0

f-4. State the decision rule. Use the 0.05 significance level. (Round your answer to 3 decimal places.)

f-5. Compute the value of the test statistic. (Round your answer to 4 decimal places.)

f-6. What is your decision regarding H₀?

f-7. State the null and alternate hypotheses for attendance and ERA.

multiple choice 5

H₀: ρ = 0 and H₁: ρ ≤ 0
H₀: ρ ≥ 0 and H₁: ρ < 0
H₀: ρ > 0 and H₁: ρ = 0
H₀: ρ ≤ 0 and H₁: ρ ≠ 0

f-8. State the decision rule. Use the 0.05 significance level. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

f-9. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 4 decimal places.)

f-10. What is your decision regarding H₀?

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