Answers only, no explanation needed.

id age sex trestbps chol fbs exang thalach

0002924 63 Male 145 233 True Negative 150

0006606 37 Male 130 250 False Negative 187

0007709 41 Female 130 204 False Negative 172

0003046 56 Male 120 236 False Negative 178

0004443 57 Female 120 354 False Positive 163

0006294 57 Male 140 192 False Negative 148

0003621 56 Female 140 294 False Negative 153

0003934 44 Male 120 263 False Negative 173

0000840 52 Male 172 199 True Negative 162

0004128 57 Male 150 168 False Negative 174

0001201 54 Male 140 239 False Negative 160

0009296 48 Female 130 275 False Negative 139

0006088 49 Male 130 266 False Negative 171

0008930 64 Male 110 211 False Positive 144

0009944 58 Female 150 283 True Negative 162

0006825 50 Female 120 219 False Negative 158

0003238 58 Female 120 340 False Negative 172

0001547 66 Female 150 226 False Negative 114

0005662 43 Male 150 247 False Negative 171

0008780 69 Female 140 239 False Negative 151

0003515 59 Male 135 234 False Negative 161

0007879 44 Male 130 233 False Positive 179

0005231 42 Male 140 226 False Negative 178

0007568 61 Male 150 243 True Positive 137

0003288 40 Male 140 199 False Positive 178

0002863 71 Female 160 302 False Negative 162

0003134 59 Male 150 212 True Negative 157

0004253 51 Male 110 175 False Negative 123

0002644 65 Female 140 417 True Negative 157

0008839 53 Male 130 197 True Negative 152

0009193 41 Female 105 198 False Negative 168

0001741 65 Male 120 177 False Negative 140

0001477 44 Male 130 219 False Negative 188

0005068 54 Male 125 273 False Negative 152

0007210 51 Male 125 213 False Positive 125

0004884 46 Female 142 177 False Positive 160

0001475 54 Female 135 304 True Negative 170

0000125 54 Male 150 232 False Negative 165

0003827 65 Female 155 269 False Negative 148

0000271 65 Female 160 360 False Negative 151

0004250 51 Female 140 308 False Negative 142

0006526 48 Male 130 245 False Negative 180

0002310 45 Male 104 208 False Positive 148

0005336 53 Female 130 264 False Negative 143

0002331 39 Male 140 321 False Negative 182

0003259 52 Male 120 325 False Negative 172

0000063 44 Male 140 235 False Negative 180

0008455 47 Male 138 257 False Negative 156

0006503 53 Female 128 216 False Negative 115

0007666 53 Female 138 234 False Negative 160

0008690 51 Female 130 256 False Negative 149

0004559 66 Male 120 302 False Negative 151

0009947 62 Male 130 231 False Negative 146

0004392 44 Female 108 141 False Negative 175

0008722 63 Female 135 252 False Negative 172

0006288 52 Male 134 201 False Negative 158

0008061 48 Male 122 222 False Negative 186

0004595 45 Male 115 260 False Negative 185

0002048 34 Male 118 182 False Negative 174

0000289 57 Female 128 303 False Negative 159

0007726 71 Female 110 265 True Negative 130

0009162 54 Male 108 309 False Negative 156

0009672 52 Male 118 186 False Negative 190

0004576 41 Male 135 203 False Negative 132

0005143 58 Male 140 211 True Negative 165

0009545 35 Female 138 183 False Negative 182

0007996 51 Male 100 222 False Positive 143

0005607 45 Female 130 234 False Negative 175

0007829 44 Male 120 220 False Negative 170

0007252 62 Female 124 209 False Negative 163

0002701 54 Male 120 258 False Negative 147

0000827 51 Male 94 227 False Positive 154

0000594 29 Male 130 204 False Negative 202

0003211 51 Male 140 261 False Positive 186

0005286 43 Female 122 213 False Negative 165

0004493 55 Female 135 250 False Negative 161

0004020 51 Male 125 245 True Negative 166

0004562 59 Male 140 221 False Positive 164

0000334 52 Male 128 205 True Negative 184

0009802 58 Male 105 240 False Positive 154

0007684 41 Male 112 250 False Negative 179

0005194 45 Male 128 308 False Negative 170

0008284 60 Female 102 318 False Negative 160

0008147 52 Male 152 298 True Negative 178

0005605 42 Female 102 265 False Negative 122

0002720 67 Female 115 564 False Negative 160

0004385 68 Male 118 277 False Negative 151

0000168 46 Male 101 197 True Negative 156

0000638 54 Female 110 214 False Negative 158

0006465 58 Female 100 248 False Negative 122

0000237 48 Male 124 255 True Negative 175

0000616 57 Male 132 207 False Positive 168

0001429 52 Male 138 223 False Negative 169

0005651 54 Female 132 288 True Positive 159

0004654 45 Female 112 160 False Negative 138

0007422 53 Male 142 226 False Positive 111

0005273 62 Female 140 394 False Negative 157

0000748 52 Male 108 233 True Negative 147

0007897 43 Male 130 315 False Negative 162

0000868 53 Male 130 246 True Negative 173

0007681 42 Male 148 244 False Negative 178

0001202 59 Male 178 270 False Negative 145

0006921 63 Female 140 195 False Negative 179

0008014 42 Male 120 240 True Negative 194

0000789 50 Male 129 196 False Negative 163

0008485 68 Female 120 211 False Negative 115

0002897 69 Male 160 234 True Negative 131

0009264 45 Female 138 236 False Positive 152

0001890 50 Female 120 244 False Negative 162

0005936 50 Female 110 254 False Negative 159

0009036 64 Female 180 325 False Positive 154

0007686 57 Male 150 126 True Negative 173

0003349 64 Female 140 313 False Negative 133

0005640 43 Male 110 211 False Negative 161

0004478 55 Male 130 262 False Negative 155

0002418 37 Female 120 215 False Negative 170

0003959 41 Male 130 214 False Negative 168

0004421 56 Male 120 193 False Negative 162

0008519 46 Female 105 204 False Negative 172

0002290 46 Female 138 243 False Positive 152

0001708 64 Female 130 303 False Negative 122

0003253 59 Male 138 271 False Negative 182

0002967 41 Female 112 268 False Positive 172

0006022 54 Female 108 267 False Negative 167

0008056 39 Female 94 199 False Negative 179

0000162 34 Female 118 210 False Negative 192

0006035 47 Male 112 204 False Negative 143

0004306 67 Female 152 277 False Negative 172

0007962 52 Female 136 196 False Negative 169

0000276 74 Female 120 269 False Positive 121

0008491 54 Female 160 201 False Negative 163

0002630 49 Female 134 271 False Negative 162

0004167 42 Male 120 295 False Negative 162

0007173 41 Male 110 235 False Negative 153

0001003 41 Female 126 306 False Negative 163

0004318 49 Female 130 269 False Negative 163

0003916 60 Female 120 178 True Negative 96

0000567 62 Male 128 208 True Negative 140

0009835 57 Male 110 201 False Positive 126

0004859 64 Male 128 263 False Positive 105

0002813 51 Female 120 295 False Negative 157

0009037 43 Male 115 303 False Negative 181

0001391 42 Female 120 209 False Negative 173

0009003 67 Female 106 223 False Negative 142

0009978 76 Female 140 197 False Negative 116

0008452 70 Male 156 245 False Negative 143

0005692 44 Female 118 242 False Negative 149

0005665 60 Female 150 240 False Negative 171

0007814 44 Male 120 226 False Negative 169

0007598 42 Male 130 180 False Negative 150

0008311 66 Male 160 228 False Negative 138

0006732 71 Female 112 149 False Negative 125

0003651 64 Male 170 227 False Negative 155

0004677 66 Female 146 278 False Negative 152

0009455 39 Female 138 220 False Negative 152

0002163 58 Female 130 197 False Negative 131

0005118 47 Male 130 253 False Negative 179

0000534 35 Male 122 192 False Negative 174

0003405 58 Male 125 220 False Negative 144

0009112 56 Male 130 221 False Negative 163

0008983 56 Male 120 240 False Negative 169

0007218 55 Female 132 342 False Negative 166

0007386 41 Male 120 157 False Negative 182

0002620 38 Male 138 175 False Negative 173

0007336 38 Male 138 175 False Negative 173

0003260 67 Male 160 286 False Positive 108

0004031 67 Male 120 229 False Positive 129

0001539 62 Female 140 268 False Negative 160

0008657 63 Male 130 254 False Negative 147

0009499 53 Male 140 203 True Positive 155

0000562 56 Male 130 256 True Positive 142

0001319 48 Male 110 229 False Negative 168

0009094 58 Male 120 284 False Negative 160

0006518 58 Male 132 224 False Negative 173

0000244 60 Male 130 206 False Positive 132

0003341 40 Male 110 167 False Positive 114

0005655 60 Male 117 230 True Positive 160

0002873 64 Male 140 335 False Negative 158

0005360 43 Male 120 177 False Positive 120

0003585 57 Male 150 276 False Positive 112

0000531 55 Male 132 353 False Positive 132

0004816 65 Female 150 225 False Negative 114

0007523 61 Female 130 330 False Negative 169

0004782 58 Male 112 230 False Negative 165

0006639 50 Male 150 243 False Negative 128

0000744 44 Male 112 290 False Negative 153

0000454 60 Male 130 253 False Positive 144

0000349 54 Male 124 266 False Positive 109

0004362 50 Male 140 233 False Negative 163

0002522 41 Male 110 172 False Negative 158

0000907 51 Female 130 305 False Positive 142

0000331 58 Male 128 216 False Positive 131

0006851 54 Male 120 188 False Negative 113

0001036 60 Male 145 282 False Positive 142

0006889 60 Male 140 185 False Negative 155

0001714 59 Male 170 326 False Positive 140

0008100 46 Male 150 231 False Negative 147

0004198 67 Male 125 254 True Negative 163

0003206 62 Male 120 267 False Positive 99

0003308 65 Male 110 248 False Negative 158

0001862 44 Male 110 197 False Negative 177

0004557 60 Male 125 258 False Positive 141

0001938 58 Male 150 270 False Positive 111

0009978 68 Male 180 274 True Positive 150

0009848 62 Female 160 164 False Negative 145

0003614 52 Male 128 255 False Positive 161

0005925 59 Male 110 239 False Positive 142

0008123 60 Female 150 258 False Negative 157

0007711 49 Male 120 188 False Negative 139

0002004 59 Male 140 177 False Positive 162

0008523 57 Male 128 229 False Negative 150

0009481 61 Male 120 260 False Positive 140

0000062 39 Male 118 219 False Negative 140

0006668 61 Female 145 307 False Positive 146

0006876 56 Male 125 249 True Positive 144

0000588 43 Female 132 341 True Positive 136

0007747 62 Female 130 263 False Negative 97

0008577 63 Male 130 330 True Positive 132

0004555 65 Male 135 254 False Negative 127

0000442 48 Male 130 256 True Positive 150

0000493 63 Female 150 407 False Negative 154

0003072 55 Male 140 217 False Positive 111

0003184 65 Male 138 282 True Negative 174

0006329 56 Female 200 288 True Positive 133

0005758 54 Male 110 239 False Positive 126

0002776 70 Male 145 174 False Positive 125

0007750 62 Male 120 281 False Negative 103

0000048 35 Male 120 198 False Positive 130

0008207 59 Male 170 288 False Negative 159

0002079 64 Male 125 309 False Positive 131

0009426 47 Male 108 243 False Negative 152

0004878 57 Male 165 289 True Negative 124

0008780 55 Male 160 289 False Positive 145

0002322 64 Male 120 246 False Positive 96

0009252 70 Male 130 322 False Negative 109

0008664 51 Male 140 299 False Positive 173

0005013 58 Male 125 300 False Negative 171

0005948 60 Male 140 293 False Negative 170

0009463 77 Male 125 304 False Positive 162

0006959 35 Male 126 282 False Positive 156

0005392 70 Male 160 269 False Positive 112

0006532 59 Female 174 249 False Positive 143

0000939 64 Male 145 212 False Negative 132

0009176 57 Male 152 274 False Positive 88

0005824 56 Male 132 184 False Positive 105

0001806 48 Male 124 274 False Negative 166

0001004 56 Female 134 409 False Positive 150

0005628 66 Male 160 246 False Positive 120

0005766 54 Male 192 283 False Negative 195

0009046 69 Male 140 254 False Negative 146

0003004 51 Male 140 298 False Positive 122

0007286 43 Male 132 247 True Positive 143

0000005 62 Female 138 294 True Negative 106

0008482 67 Male 100 299 False Positive 125

0000050 59 Male 160 273 False Negative 125

0008938 45 Male 142 309 False Positive 147

0009203 58 Male 128 259 False Positive 130

0002601 50 Male 144 200 False Positive 126

0005930 62 Female 150 244 False Positive 154

0004311 38 Male 120 231 False Positive 182

0003061 66 Female 178 228 True Positive 165

0006601 52 Male 112 230 False Negative 160

0007489 53 Male 123 282 False Positive 95

0003680 63 Female 108 269 False Positive 169

0001314 54 Male 110 206 False Positive 108

0003563 66 Male 112 212 False Positive 132

0009540 55 Female 180 327 False Positive 117

0006300 49 Male 118 149 False Negative 126

0005692 54 Male 122 286 False Positive 116

0007334 56 Male 130 283 True Positive 103

0003967 46 Male 120 249 False Negative 144

0000243 61 Male 134 234 False Negative 145

0009685 67 Male 120 237 False Negative 71

0000099 58 Male 100 234 False Negative 156

0003021 47 Male 110 275 False Positive 118

0009388 52 Male 125 212 False Negative 168

0007116 58 Male 146 218 False Negative 105

0008066 57 Male 124 261 False Negative 141

0007801 58 Female 136 319 True Negative 152

0000047 61 Male 138 166 False Positive 125

0000696 42 Male 136 315 False Positive 125

0003059 52 Male 128 204 True Positive 156

0003685 59 Male 126 218 True Negative 134

0006978 40 Male 152 223 False Negative 181

0008426 61 Male 140 207 False Positive 138

0001853 46 Male 140 311 False Positive 120

0005181 59 Male 134 204 False Negative 162

0005457 57 Male 154 232 False Negative 164

0008823 57 Male 110 335 False Positive 143

0004869 55 Female 128 205 False Positive 130

0005850 61 Male 148 203 False Negative 161

0008121 58 Male 114 318 False Negative 140

0006635 58 Female 170 225 True Positive 146

0007463 67 Male 152 212 False Negative 150

0002575 44 Male 120 169 False Positive 144

0002226 63 Male 140 187 False Positive 144

0002376 63 Female 124 197 False Positive 136

0003370 59 Male 164 176 True Negative 90

0007352 57 Female 140 241 False Positive 123

0008998 45 Male 110 264 False Negative 132

0007064 68 Male 144 193 True Negative 141

0004426 57 Male 130 131 False Positive 115

0006492 57 Female 130 236 False Negative 174

The Health Insurance Industry: A large international association of health insurance companies desires to better understand the factors involved in heart disease in an attempt to grapple with the alarming increases in the costs of treating the disease. Data are available on a random sample of recent patients suffering from heart disease. Maximum heart rate achieved (in beats per minute) (thalach) is considered here a proxity for overall heart health (with lower values indicating better health and fitness). Develop a regression model to predict maximum heart rate achieved (thalach) from patient's age, sex (sex = Male, Female), resting blood pressure (in mm Hg on admission to the hospital) (trestops), serum cholesterol in mg/dl (chol), fasting blood sugar > 120 mg/dl? (fbs = True, False), and exercise induced angina (exang = Positive, Negative) . Code the variable sex so that "Female" serves as the reference group, the variable fos so that "False" serves as the reference group, and the variable exang so that "Negative" serves as the reference group. The data are available in the worksheet entitled "HEART". (a) State the model equation. O THALACH = Bo + BjAGE + 2MALE + B3TRESTBPS + 4CHOL + 35FBS_T + B6POSITIVE + B/NEGATIVE O THALACH = Bo + B1AGE + 2MALE + B3TRESTBPS + B4CHOL + B5FBS_T + BGEXANG_P O THALACH = Bo + BjAGE + B2FEMALE + B3TRESTBPS + B4CHOL O THALACH = Bo + B1AGE + 2FEMALE + B3TRESTBPS + B4CHOL + B5TRUE + BGFALSE + B7EXANG_P O THALACH = Bo + BjAGE + B2MALE + B3FEMALE + B4TRESTBPS + 35CHOL + $6FBS_T + B7EXANG_P THALACH = Bo + 1AGE + 2FEMALE + 3TRESTBPS + $4CHOL + $5FBS_T + BGEXANG_P X (b) Is there a difference in maximum heart rate achieved between men and women after accounting for the effects of all the other explanatory variables? Perform a hypothesis test to answer this question. Use a 5% level of significance. State the hypotheses to be tested. O Ho: B1 = B2 = 0 Ha: At least one of the coefficients is not equal to 0. O Ho: $6 = 0 Ha: B6 # 0 O Ho: B1 = 0 Ha: B1 = 0 O Ho: B2 = 0 Ha: B2 # 0 O Ho: None of the coefficients are equal to O.O Ho: None of the coefficients are equal to 0. Ha: B3 = B4 = B5 0 O Ho: B3 = B4 = 0 Ha: At least one of the coefficients is not equal to 0. X Interpret the hypotheses you specified above. O Ho: None of the explanatory variables are important in explaining/predicting maximum heart rate achieved. Ha: At least one explanatory variable is important in explaining/predicting maximum heart rate achieved. O Ho: At least one explanatory variable is important in explaining/predicting maximum heart rate achieved. Ha: None of the explanatory variables are important in explaining/predicting maximum heart rate achieved. O Ho: There is no significant difference in maximum heart rate achieved between men and women after accounting for the effects of all the other explanatory variables. Ha: There is a significant difference in maximum heart rate achieved between men and women after accounting for the effects of all the other explanatory variables. O Ho: There is a significant difference in maximum heart rate achieved between men and women after accounting for the effects of all the other explanatory variables. Ha: There is no significant difference in maximum heart rate achieved between men and women after accounting for the effects of all the other explanatory variables. O Ho: None of the explanatory variables are important in explaining/predicting maximum heart rate achieved. Ha: All of the explanatory variables are important in explaining/predicting maximum heart rate achieved. State the decision rule. O Reject Ho if p > 0.025. Do not reject Ho if p S 0.025. O Reject Ho if p 0.05. Do not reject Ho if p S 0.05. O Reject Ho if p