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Dean Parmalee wished to know if the year-end grades assigned to Wright State University Medical School students are predictive of their second-year medical board scores.

Dean Parmalee wished to know if the year-end grades assigned to Wright State University Medical School students are predictive of their second-year medical board scores. The following table shows, for 89 students, the year-end score (AVG, in percent of 100) and the score on the second year medical board (BOARD) examination (data: medscores.mtw).

AVG

BOARD

AVG

BOARD

AVG

BOARD

95.73

257

85.91

208

82.01

196

94.03

256

85.81

210

81.86

179

91.51

242

85.35

212

81.7

207

91.49

223

85.3

225

81.65

202

91.13

241

85.27

203

81.51

230

90.88

234

85.05

214

81.07

200

90.83

226

84.58

176

80.95

200

90.6

236

84.51

196

80.92

160

90.3

250

84.51

207

80.84

205

90.29

226

84.42

207

80.77

194

89.93

233

84.34

211

80.72

196

89.83

241

84.34

202

80.69

171

89.65

234

84.13

229

80.58

201

89.47

231

84.13

202

80.57

177

88.87

228

84.09

184

80.1

192

88.8

229

83.98

206

79.38

187

88.66

235

83.93

202

78.75

161

88.55

216

83.92

176

78.32

172

88.43

207

83.73

204

78.17

163

88.34

224

83.47

208

77.39

166

87.95

237

83.27

211

76.3

170

87.79

213

83.13

196

75.85

159

87.01

215

83.05

203

75.6

154

86.86

187

83.02

188

75.16

169

86.85

204

82.82

169

74.85

159

86.84

219

82.78

205

74.66

167

86.3

228

82.57

183

74.58

154

86.13

210

82.56

181

74.16

148

86.1

216

82.45

173

70.34

159

85.92

212

82.24

185

Please use minitab

  1. Explain why this model is not appropriate for someone with AVG value of 60.0.
  2. Use the regression model to give 95% mean and individual prediction intervals for AVG score of 95.73 and 94.03. Make a graph showing the 95% confidence bands for the mean and the 95% prediction intervals.

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