NUMBER OF FACTORS LENGTH OF STAY NUMBER OF FACTORS LENGTH OF STAY y, days y, days 231 354 11 323 7 142 7 113 8 E6286 208 341 10 162 4 201 117 4 158 11 159 243 6. 169 9. 156 6. 55 6. 184 77 3 115 4 a Indiye 6. 103 4 202 6. 147 206 230 6. 360 6. 78 84 525 9. 331 121 7 302 248 5 60 233 8 110 260 4 131 224 7 364 472 12 180 220 8 134 6. 383 6. 401 301 9. 155 262 7 338 8. Source: Bayonet Point Hospital, Coronary Care Unit. a. Construct a scattergram of the data. b. Find the least squares line for the data and plot it on your scattergram. c. Define B, in the context of this problem. d. Test the hypothesis that the number of factors per patient (x) contributes no information for the prediction of the patient's length of stay (y) when a linear model is used (use a = .05). Draw the appropriate conclusions. e. Find a 90% confidence interval for B1. Interpret your results. 39722547 o54

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 6E
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Question
NUMBER OF FACTORS
LENGTH OF STAY
NUMBER OF FACTORS
LENGTH OF STAY
y, days
y, days
231
354
11
323
7
142
7
113
8
E6286
208
341
10
162
4
201
117
4
158
11
159
243
6.
169
9.
156
6.
55
6.
184
77
3
115
4
a Indiye
6.
103
4
202
6.
147
206
230
6.
360
6.
78
84
525
9.
331
121
7
302
248
5
60
233
8
110
260
4
131
224
7
364
472
12
180
220
8
134
6.
383
6.
401
301
9.
155
262
7
338
8.
Source: Bayonet Point Hospital, Coronary Care Unit.
a. Construct a scattergram of the data.
b. Find the least squares line for the data and plot it on your scattergram.
c. Define B, in the context of this problem.
d. Test the hypothesis that the number of factors per patient (x) contributes no information for the
prediction of the patient's length of stay (y) when a linear model is used (use a = .05). Draw
the appropriate conclusions.
e. Find a 90% confidence interval for B1. Interpret your results.
39722547 o54
Transcribed Image Text:NUMBER OF FACTORS LENGTH OF STAY NUMBER OF FACTORS LENGTH OF STAY y, days y, days 231 354 11 323 7 142 7 113 8 E6286 208 341 10 162 4 201 117 4 158 11 159 243 6. 169 9. 156 6. 55 6. 184 77 3 115 4 a Indiye 6. 103 4 202 6. 147 206 230 6. 360 6. 78 84 525 9. 331 121 7 302 248 5 60 233 8 110 260 4 131 224 7 364 472 12 180 220 8 134 6. 383 6. 401 301 9. 155 262 7 338 8. Source: Bayonet Point Hospital, Coronary Care Unit. a. Construct a scattergram of the data. b. Find the least squares line for the data and plot it on your scattergram. c. Define B, in the context of this problem. d. Test the hypothesis that the number of factors per patient (x) contributes no information for the prediction of the patient's length of stay (y) when a linear model is used (use a = .05). Draw the appropriate conclusions. e. Find a 90% confidence interval for B1. Interpret your results. 39722547 o54
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