RK	Player Name	Team	Position	G	AB	R	H	2B	3B	HR	BB	SB	CS	RBI	SO	AVG	OBP	SLG	OPS
1	Anderson, T	CWS	SS	118	482	78	161	32	0	18	13	17	5	56	105	0.334	0.354	0.512	0.866
2	LeMahieu, D	NYY	2B	140	583	108	192	31	2	26	45	5	2	99	88	0.329	0.377	0.523	0.9
3	Yelich, C	MIL	RF	130	489	100	161	29	3	44	80	30	2	97	118	0.329	0.429	0.671	1.1
4	Marte, K	ARI	CF	144	569	97	187	36	9	32	53	10	2	92	86	0.329	0.389	0.592	0.981
5	Rendon, A	WSH	3B	140	530	114	172	43	3	34	70	4	1	120	81	0.325	0.41	0.609	1.02
6	Reynolds, B	PIT	LF	132	485	83	154	37	4	16	46	3	2	67	121	0.318	0.381	0.509	0.891
7	Blackmon, C	COL	RF	135	561	109	178	42	7	30	36	2	5	82	100	0.317	0.364	0.578	0.941
8	McNeil, J	NYM	LF	130	498	82	158	37	1	23	35	5	6	73	75	0.317	0.385	0.534	0.919
9	Moncada, Y	CWS	3B	126	490	79	155	33	5	24	40	10	3	77	149	0.316	0.369	0.551	0.92
10	Arenado, N	COL	3B	151	571	99	180	31	2	41	59	3	2	118	88	0.315	0.379	0.592	0.97
11	Brantley, M	HOU	LF	144	559	87	176	39	2	21	51	3	2	86	65	0.315	0.377	0.504	0.881
12	Newman, K	PIT	SS	124	467	57	145	20	5	10	26	15	8	59	58	0.31	0.355	0.439	0.794
13	Alberto, H	BAL	2B	135	506	60	157	21	2	12	16	4	4	50	48	0.31	0.333	0.431	0.764
14	Devers, R	BOS	3B	150	619	123	190	50	4	31	47	8	8	112	114	0.307	0.359	0.551	0.91
15	Gurriel, Y	HOU	1B	139	545	84	166	40	2	30	36	4	3	102	62	0.305	0.35	0.55	0.9
16	Bogaerts, X	BOS	SS	149	595	106	181	51	0	32	73	4	2	110	120	0.304	0.38	0.551	0.931
17	Cruz, N	MIN	DH	116	439	79	133	24	0	40	55	0	1	105	129	0.303	0.387	0.631	1.018
18	Bellinger, C	LAD	RF	151	543	118	164	33	3	46	93	14	5	114	106	0.302	0.404	0.628	1.032
19	Martinez, J	BOS	LF	140	550	95	166	33	2	35	69	1	0	99	130	0.302	0.381	0.56	0.941
20	Merrifield, W	KC	2B	157	663	102	200	40	9	16	45	19	10	74	123	0.302	0.349	0.462	0.81
21	Altuve, J	HOU	2B	119	480	88	144	25	3	30	41	6	5	70	80	0.3	0.357	0.552	0.909
22	Polanco, J	MIN	SS	149	616	106	184	40	6	22	60	4	3	78	114	0.299	0.362	0.49	0.852
23	Story, T	COL	SS	141	570	107	169	36	5	33	54	21	8	83	164	0.296	0.363	0.551	0.914
24	Freeman, F	ATL	1B	155	587	112	174	34	2	38	86	6	3	121	123	0.296	0.391	0.555	0.946
25	Albies, O	ATL	2B	155	619	98	183	42	8	23	52	15	4	82	108	0.296	0.352	0.501	0.852
26	Marte, S	PIT	CF	132	539	97	159	31	6	23	25	25	6	82	94	0.295	0.342	0.503	0.845
27	Rizzo, A	CHC	1B	144	506	89	149	29	3	27	71	5	2	94	85	0.294	0.407	0.524	0.931
28	Castellanos, N	CHC	RF	149	606	100	178	58	3	27	41	2	2	73	142	0.294	0.342	0.533	0.875
29	Bregman, A	HOU	3B	150	535	117	157	35	2	39	112	5	1	108	81	0.293	0.419	0.585	1.004
30	Betts, M	BOS	RF	146	583	132	170	40	5	28	95	15	3	78	100	0.292	0.388	0.521	0.91
31	Springer, G	HOU	RF	116	463	91	135	19	3	38	61	5	2	94	111	0.292	0.378	0.592	0.97
32	Trout, M	LAA	CF	134	470	110	137	27	2	45	110	11	2	104	120	0.291	0.438	0.645	1.083
33	Turner, T	WSH	SS	115	491	88	143	33	5	16	42	34	5	50	105	0.291	0.349	0.477	0.826
34	Lindor, F	CLE	SS	137	575	99	167	39	2	31	46	22	5	72	90	0.29	0.343	0.527	0.87
35	Fletcher, D	LAA	3B	148	572	82	166	30	4	6	52	8	3	48	60	0.29	0.349	0.388	0.737
36	Ramos, W	NYM	C	137	462	52	134	19	0	14	43	1	0	72	69	0.29	0.354	0.422	0.776
37	Turner, J	LAD	3B	134	476	80	138	24	0	27	50	2	0	67	88	0.29	0.369	0.511	0.88
38	Meadows, A	TB	RF	133	512	80	148	29	7	32	50	12	6	88	127	0.289	0.36	0.561	0.921
39	Santana, C	CLE	1B	153	556	109	160	30	1	34	106	4	0	93	101	0.288	0.403	0.529	0.932
40	Soto, J	WSH	LF	143	522	107	150	30	5	34	101	12	1	107	126	0.287	0.403	0.559	0.962
41	Semien, M	OAK	SS	156	638	120	183	42	7	32	82	10	8	91	101	0.287	0.369	0.525	0.894
42	Iglesias, J	CIN	SS	141	485	60	139	19	3	11	17	6	6	55	68	0.287	0.314	0.406	0.72
43	Rosario, A	NYM	SS	150	590	72	169	29	7	14	31	18	8	66	121	0.286	0.323	0.431	0.753
44	Mancini, T	BAL	RF	148	577	101	165	36	2	34	57	1	0	93	137	0.286	0.356	0.532	0.889
45	Cabrera, M	DET	1B	132	478	38	136	21	0	10	48	0	0	56	104	0.285	0.35	0.391	0.741
45	Wong, K	STL	2B	148	478	61	136	25	4	11	47	24	4	59	83	0.285	0.361	0.423	0.784
47	Torres, G	NYY	SS	140	529	96	150	25	0	38	48	5	2	90	123	0.284	0.343	0.546	0.889
48	Santana, D	TEX	2B	124	455	74	129	22	6	26	21	18	6	73	146	0.284	0.318	0.53	0.848
49	Rojas, M	MIA	SS	126	456	48	129	29	1	5	32	8	5	45	59	0.283	0.332	0.384	0.716
50	Hernandez, C	PHI	2B	153	578	71	163	28	3	12	42	9	2	68	92	0.282	0.335	0.403	0.738
51	Bryant, K	CHC	3B	147	543	108	153	35	1	31	74	4	0	77	145	0.282	0.382	0.521	0.903
52	Segura, J	PHI	SS	139	558	78	157	37	4	12	30	10	2	59	72	0.281	0.326	0.427	0.752
53	Dozier, H	KC	3B	134	505	73	142	28	9	26	54	2	2	83	142	0.281	0.352	0.527	0.878
54	Abreu, J	CWS	1B	153	612	81	172	35	0	33	35	2	2	121	148	0.281	0.326	0.5	0.826
55	Baez, J	CHC	SS	136	531	89	149	38	4	29	28	11	7	85	156	0.281	0.316	0.531	0.847
56	Braun, R	MIL	LF	141	453	67	127	31	2	20	33	11	1	69	104	0.28	0.337	0.49	0.827
57	Acuna Jr., R	ATL	LF	155	625	127	175	22	2	41	76	37	9	101	188	0.28	0.366	0.518	0.884
58	Eaton, A	WSH	RF	144	543	97	152	24	7	14	61	14	3	47	101	0.28	0.363	0.427	0.791
59	Garcia, A	TB	RF	121	476	59	133	23	2	19	31	10	4	69	123	0.279	0.331	0.456	0.787
60	Frazier, A	PIT	2B	146	530	76	148	31	7	10	39	4	4	48	72	0.279	0.337	0.421	0.758
61	Garcia, L	CWS	CF	136	564	92	157	26	3	7	20	15	5	38	135	0.278	0.309	0.372	0.681
62	Rosario, E	MIN	LF	133	547	90	152	27	1	31	21	3	1	104	84	0.278	0.301	0.501	0.802
63	Moran, C	PIT	3B	148	462	45	128	30	1	13	30	0	1	79	116	0.277	0.323	0.431	0.753
64	Bell, J	PIT	1B	143	527	94	146	37	3	37	74	0	1	116	118	0.277	0.367	0.569	0.936
65	Pham, T	TB	LF	140	547	75	151	32	2	20	79	23	3	66	117	0.276	0.372	0.452	0.823
66	Guerrero Jr., V	TOR	3B	119	446	51	123	26	2	15	46	0	1	68	87	0.276	0.345	0.444	0.789
67	Realmuto, J	PHI	C	145	538	92	148	36	3	25	41	9	1	83	123	0.275	0.328	0.493	0.82
68	Vazquez, C	BOS	C	133	471	63	129	26	1	22	31	4	2	69	99	0.274	0.317	0.473	0.79
69	Villar, J	BAL	2B	156	610	106	167	32	5	23	60	38	9	69	168	0.274	0.341	0.456	0.796
70	Seager, C	LAD	SS	129	473	79	129	41	1	18	43	1	0	82	96	0.273	0.336	0.478	0.814
71	Hosmer, E	SD	1B	154	598	71	163	29	2	21	40	0	3	97	153	0.273	0.319	0.433	0.752
72	Suarez, E	CIN	3B	153	559	86	152	21	2	48	62	3	2	102	184	0.272	0.353	0.574	0.927
73	Reddick, J	HOU	RF	138	487	56	132	18	3	13	36	4	2	52	62	0.271	0.316	0.4	0.716
74	Castro, S	MIA	2B	155	609	65	165	29	4	21	27	2	2	83	107	0.271	0.3	0.435	0.735
75	Escobar, E	ARI	3B	153	613	94	166	29	10	35	47	5	1	117	125	0.271	0.321	0.522	0.843
76	Andrus, E	TEX	SS	141	577	75	156	26	4	12	31	28	8	70	93	0.27	0.308	0.392	0.7
77	Voit, L	NYY	1B	114	418	71	113	21	1	21	69	0	0	62	137	0.27	0.383	0.476	0.859
78	Jimenez, E	CWS	LF	118	453	66	122	17	2	30	29	0	0	77	130	0.269	0.318	0.514	0.832
79	Benintendi, A	BOS	LF	135	530	69	142	40	5	13	58	10	3	68	138	0.268	0.345	0.436	0.781
80	Olson, M	OAK	1B	122	463	72	124	26	0	35	49	0	0	88	131	0.268	0.352	0.551	0.903
81	Puig, Y	CLE	RF	145	543	74	145	28	2	24	42	18	7	84	131	0.267	0.327	0.459	0.785
82	Votto, J	CIN	1B	137	506	78	135	31	1	15	75	5	0	47	115	0.267	0.364	0.421	0.785
83	Gordon, A	KC	LF	145	542	76	144	31	1	13	49	5	3	74	97	0.266	0.342	0.399	0.741
84	Choo, S	TEX	LF	146	546	87	145	29	2	23	71	13	1	59	158	0.266	0.368	0.452	0.82
85	Alonso, P	NYM	1B	154	568	98	150	30	2	50	70	1	0	115	169	0.264	0.364	0.588	0.952
86	Jones, A	ARI	RF	132	472	65	124	25	1	16	27	2	1	65	98	0.263	0.312	0.422	0.733
87	Anderson, B	MIA	3B	126	459	57	120	33	1	20	44	5	1	66	114	0.261	0.342	0.468	0.811
88	Galvis, F	CIN	SS	147	557	67	145	28	1	23	28	4	2	70	145	0.26	0.296	0.438	0.734
89	Soler, J	KC	RF	157	573	91	149	32	1	45	70	3	1	112	174	0.26	0.349	0.555	0.904
90	Pillar, K	SF	CF	155	589	81	153	37	2	21	17	13	5	85	86	0.26	0.287	0.436	0.723
91	Kingery, S	PHI	CF	121	441	64	114	33	4	19	33	13	4	55	141	0.259	0.316	0.481	0.797
92	Goldschmidt, P	STL	1B	155	570	91	147	25	1	31	76	2	1	92	157	0.258	0.346	0.468	0.814
93	Ahmed, N	ARI	SS	152	529	76	136	31	6	18	51	8	2	80	107	0.257	0.32	0.44	0.761
94	Walker, C	ARI	1B	146	510	81	131	25	1	26	62	8	1	66	149	0.257	0.344	0.463	0.806
95	Harper, B	PHI	RF	149	542	93	139	34	0	33	98	14	3	108	170	0.256	0.373	0.502	0.875
96	Moustakas, M	MIL	2B	138	511	79	131	28	1	35	50	3	0	87	96	0.256	0.329	0.521	0.849
97	Robles, V	WSH	CF	149	525	83	134	32	3	17	34	26	9	64	132	0.255	0.327	0.425	0.752
98	Cabrera, A	WSH	3B	125	431	62	110	23	1	17	53	4	0	85	101	0.255	0.337	0.432	0.768
99	Donaldson, J	ATL	3B	151	533	94	136	30	0	37	98	4	2	89	154	0.255	0.377	0.52	0.896
100	Longoria, E	SF	3B	124	436	58	111	19	2	19	40	2	1	67	107	0.255	0.323	0.438	0.761
101	Heyward, J	CHC	RF	145	507	77	129	20	4	21	67	8	3	62	109	0.254	0.344	0.434	0.778
102	Sanchez, Y	CWS	2B	143	472	56	120	19	4	2	44	5	4	41	111	0.254	0.323	0.324	0.647
103	Ramirez, J	CLE	3B	126	473	65	120	33	3	20	51	24	4	75	73	0.254	0.325	0.463	0.788
104	Gardner, B	NYY	CF	136	477	84	121	26	7	27	51	10	2	72	103	0.254	0.33	0.507	0.837
105	Adames, W	TB	SS	147	517	68	131	25	1	19	45	4	2	49	148	0.253	0.316	0.416	0.732
106	Cron, C	MIN	1B	121	446	49	113	24	0	24	29	0	0	76	105	0.253	0.312	0.469	0.781
106	Santana, D	SEA	LF	118	446	63	113	20	1	21	49	8	3	69	161	0.253	0.329	0.444	0.773
108	Cain, L	MIL	CF	143	547	73	138	28	0	10	49	18	7	47	104	0.252	0.318	0.358	0.677
109	Kepler, M	MIN	RF	134	524	98	132	32	0	36	60	1	5	90	99	0.252	0.336	0.519	0.855
110	Conforto, M	NYM	RF	144	528	85	133	27	1	31	79	7	2	87	142	0.252	0.357	0.483	0.84
111	McMahon, R	COL	2B	135	457	69	115	22	1	23	55	5	1	81	153	0.252	0.333	0.455	0.788
112	Machado, M	SD	SS	151	569	79	143	20	2	30	63	5	3	82	125	0.251	0.331	0.452	0.782
113	Grandal, Y	MIL	C	147	494	75	123	24	2	27	104	5	1	73	134	0.249	0.382	0.47	0.851
114	Pujols, A	LAA	1B	125	471	54	117	22	0	23	42	3	0	92	66	0.248	0.31	0.442	0.751
115	Muncy, M	LAD	1B	135	467	95	116	21	1	33	84	4	1	92	144	0.248	0.368	0.51	0.878
116	Nunez, R	BAL	3B	145	520	69	128	23	0	29	44	1	1	83	135	0.246	0.315	0.458	0.773
117	Chapman, M	OAK	3B	151	562	98	138	36	3	34	72	1	1	87	145	0.246	0.34	0.502	0.842
118	Kipnis, J	CLE	2B	121	458	52	112	23	1	17	40	7	2	65	88	0.245	0.304	0.41	0.715
119	Pederson, J	LAD	LF	143	434	77	106	16	3	32	48	1	1	68	109	0.244	0.335	0.516	0.851
120	Schwarber, K	CHC	LF	150	512	80	125	26	3	37	67	2	3	91	151	0.244	0.334	0.523	0.857
121	Fowler, D	STL	RF	144	463	65	113	24	1	17	69	8	5	64	129	0.244	0.349	0.41	0.76
122	Swanson, D	ATL	SS	122	459	72	112	24	3	17	50	8	5	63	116	0.244	0.322	0.42	0.742
123	Reyes, F	CLE	RF	145	477	64	116	17	0	36	47	0	0	79	152	0.243	0.307	0.505	0.812
124	Panik, J	NYM	2B	137	432	48	105	21	2	4	41	4	2	38	47	0.243	0.312	0.329	0.641
125	Ozuna, M	STL	LF	125	463	78	112	21	1	29	56	12	2	88	110	0.242	0.324	0.479	0.804
126	DeJong, P	STL	SS	154	563	96	134	31	1	29	58	9	5	77	141	0.238	0.319	0.451	0.77
127	Calhoun, K	LAA	RF	146	532	90	126	28	1	33	67	4	1	74	155	0.237	0.328	0.479	0.807
128	Belt, B	SF	1B	150	511	75	121	31	3	17	79	4	3	57	124	0.237	0.34	0.409	0.749
129	Grichuk, R	TOR	CF	146	566	72	133	29	4	30	35	2	1	76	158	0.235	0.283	0.459	0.743
130	Crawford, B	SF	SS	143	487	58	113	24	2	11	51	3	2	58	114	0.232	0.307	0.357	0.664
131	Hoskins, R	PHI	1B	153	544	84	126	33	5	29	112	2	2	83	164	0.232	0.37	0.471	0.84
132	Smith, M	SEA	CF	129	498	69	114	19	9	6	42	45	8	37	138	0.229	0.303	0.339	0.642
133	Bradley Jr., J	BOS	CF	140	467	64	103	25	3	20	55	7	4	56	147	0.221	0.316	0.415	0.731
134	Davis, K	OAK	LF	129	469	60	102	11	0	22	45	0	0	71	143	0.217	0.289	0.382	0.671
135	Arcia, O	MIL	SS	146	472	49	102	14	1	15	43	8	4	52	107	0.216	0.278	0.345	0.624
136	Profar, J	OAK	2B	134	447	65	96	23	2	20	45	8	1	67	74	0.215	0.296	0.409	0.706
137	Vogelbach, D	SEA	1B	140	451	73	95	17	0	30	91	0	0	76	143	0.211	0.344	0.448	0.792
138	Smoak, J	TOR	1B	119	407	54	83	14	0	22	79	0	0	58	104	0.204	0.339	0.4	0.74
139	Odor, R	TEX	2B	139	501	71	101	28	1	27	47	10	8	81	168	0.202	0.276	0.423	0.699
Please use the data above for the following questions.
Q1. By using Data Analysis, please conductRegression analysis between Runs (R) and On-Base Plus Slugging (OPS). The predictor variable is OPS (independent variable = X), and the response (outcome) variable is R (dependent variable = Y). So, we want to predict how OPS can impact Runs. (Don't forget to check the 'Labels' option in the analysis. Hint: p. 194~)
Output Range A:146
SUMMARY OUTPUT
Regression Statistics
Multiple R	0.705680113
R Square	0.497984421
Adjusted R Square	0.49429313
Standard Error	13.50754113
Observations	138
ANOVA
	df	SS	MS	F	Significance F
Regression	1	24614.45	24614.45	134.9079	4.28E-22
Residual	136	24813.7	182.4537
Total	137	49428.14
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-39.22959171	10.40499	-3.77027	0.000242	-59.8061	-18.6530865	-59.8061	-18.6531
0.866	145.7907881	12.55195	11.61499	4.28E-22	120.9685	170.6130406	120.9685	170.613
Q2. Based on the regression analysis results in Q1, how much percentage of Runs variation is explained by the independent variable, OPS?
Q3. To check the results' reliability, is the coefficient statistically significant? Or not? Why is it significant or non-significant? (Note. without the answer to theWhy question, this question will be zero.)
Q4. To interpret the regression analysis results in Q1, if OPS increases one unit (1.0), how many units of R (Runs) should be increased or decreased?