Question
2. We consider a population of cars from a given model year. A sample of 24 such cars has been recently sold. The sale price
2. We consider a population of cars from a given model year. A sample of 24 such cars has been recently sold. The sale price as a function of the age of the car is in the Excel file Data-AS2.XLSX (Car) in the Excel directory. a. Try a linear regression and an exponential (non-linear) regression with Excel to fit these data. Comment your results. b. Which regression model seems to fit the data better and why?
3. To find the relationship between advertising and sales, a sale manger of computer store recorded the monthly advertising budget ($thousands) and the sales (millions) for a sample of 12 months. The data are listed below. Advertising 24 35 59 51 26 30 23 30 33 80 89 95 Sales 8.2 10.7 13.8 10.7 9.9 11.4 12.3 11.8 10.7 13.8 14.2 14.6
Draw a scatter diagram. Does it appear a linear relationship between these two variables? Explain. b. Compute coefficients (0 1) - manual approach c. Compute standard error of estimate () - manual approach d. Compute coefficient of determination ( 2 ) - manual approach e. Run the LINEST function in Excel. Provide the result table
Construction company | ||||||||
Residence | Sales Price (1000) | Floor Area | Bedrooms | Age | Material Quality | Sale Agent Skill | Distance from Downtown | Design Score |
1 | 373 | 2930 | 4 | 7 | 5 | 1 | 23 | 8 |
2 | 389 | 3315 | 3 | 5 | 5 | 1 | 25 | 9 |
3 | 389 | 3340 | 3 | 2 | 5 | 3 | 25 | 9 |
4 | 234 | 1594 | 2 | 2 | 1 | 3 | 9 | 3 |
5 | 399 | 2750 | 2 | 7 | 3 | 3 | 18 | 8 |
6 | 251 | 1887 | 2 | 2 | 2 | 1 | 11 | 4 |
7 | 235 | 1598 | 4 | 8 | 1 | 1 | 9 | 3 |
8 | 281 | 2111 | 2 | 7 | 3 | 1 | 15 | 6 |
9 | 376 | 2982 | 4 | 5 | 5 | 2 | 23 | 9 |
10 | 293 | 2225 | 3 | 2 | 3 | 1 | 16 | 6 |
11 | 238 | 1785 | 3 | 2 | 1 | 3 | 10 | 5 |
12 | 291 | 2220 | 3 | 6 | 3 | 3 | 16 | 6 |
13 | 399 | 2773 | 3 | 5 | 5 | 1 | 26 | 8 |
14 | 360 | 2866 | 3 | 4 | 4 | 3 | 22 | 7 |
15 | 367 | 3135 | 4 | 4 | 5 | 3 | 23 | 8 |
16 | 394 | 3244 | 2 | 8 | 5 | 3 | 26 | 9 |
17 | 321 | 2476 | 4 | 4 | 4 | 3 | 19 | 6 |
18 | 270 | 1887 | 3 | 4 | 2 | 1 | 13 | 5 |
19 | 347 | 2750 | 4 | 9 | 4 | 1 | 21 | 7 |
20 | 397 | 3315 | 3 | 6 | 5 | 3 | 26 | 9 |
21 | 375 | 2971 | 4 | 8 | 5 | 2 | 23 | 8 |
22 | 330 | 2614 | 4 | 6 | 4 | 1 | 20 | 7 |
23 | 357 | 2853 | 3 | 7 | 4 | 3 | 22 | 7 |
24 | 380 | 3034 | 2 | 7 | 5 | 1 | 24 | 9 |
25 | 240 | 1661 | 2 | 3 | 1 | 3 | 10 | 5 |
26 | 253 | 1903 | 3 | 4 | 2 | 2 | 11 | 4 |
27 | 286 | 1903 | 2 | 6 | 3 | 3 | 16 | 5 |
28 | 396 | 3290 | 2 | 5 | 5 | 2 | 26 | 9 |
29 | 269 | 1951 | 2 | 2 | 2 | 3 | 13 | 5 |
30 | 310 | 2364 | 3 | 7 | 3 | 1 | 17 | 6 |
31 | 222 | 1507 | 3 | 2 | 1 | 3 | 8 | 3 |
32 | 237 | 1777 | 4 | 3 | 1 | 3 | 10 | 3 |
33 | 341 | 2407 | 2 | 5 | 4 | 1 | 20 | 8 |
34 | 342 | 2717 | 2 | 5 | 4 | 3 | 21 | 7 |
35 | 383 | 3037 | 2 | 7 | 5 | 2 | 24 | 9 |
36 | 392 | 2773 | 3 | 9 | 5 | 2 | 25 | 9 |
37 | 362 | 3067 | 2 | 7 | 4 | 2 | 22 | 8 |
38 | 230 | 1558 | 4 | 2 | 1 | 3 | 9 | 3 |
39 | 398 | 3340 | 2 | 6 | 5 | 3 | 26 | 9 |
40 | 246 | 1766 | 3 | 6 | 1 | 1 | 11 | 3 |
41 | 309 | 2321 | 3 | 8 | 3 | 2 | 17 | 6 |
42 | 266 | 1936 | 4 | 9 | 2 | 1 | 13 | 5 |
43 | 228 | 1620 | 2 | 7 | 1 | 3 | 9 | 3 |
44 | 233 | 1620 | 4 | 5 | 1 | 3 | 9 | 3 |
45 | 327 | 2516 | 3 | 6 | 4 | 2 | 20 | 7 |
46 | 241 | 1700 | 4 | 3 | 1 | 3 | 10 | 3 |
47 | 274 | 2024 | 2 | 6 | 2 | 3 | 14 | 5 |
48 | 260 | 1913 | 3 | 3 | 2 | 3 | 12 | 4 |
49 | 279 | 1630 | 3 | 2 | 3 | 1 | 15 | 5 |
50 | 276 | 2071 | 3 | 2 | 2 | 2 | 15 | 5 |
51 | 238 | 1630 | 2 | 8 | 1 | 1 | 10 | 5 |
52 | 305 | 2372 | 3 | 4 | 3 | 2 | 17 | 6 |
53 | 353 | 2825 | 2 | 8 | 4 | 1 | 22 | 8 |
54 | 366 | 3131 | 2 | 3 | 5 | 3 | 23 | 8 |
55 | 246 | 1769 | 3 | 2 | 1 | 1 | 11 | 3 |
56 | 383 | 3038 | 2 | 7 | 5 | 2 | 24 | 9 |
57 | 233 | 1630 | 3 | 4 | 1 | 1 | 9 | 3 |
58 | 326 | 2511 | 3 | 9 | 4 | 1 | 20 | 7 |
59 | 377 | 3019 | 2 | 4 | 5 | 2 | 24 | 9 |
60 | 285 | 2169 | 2 | 2 | 3 | 3 | 15 | 5 |
61 | 357 | 2859 | 2 | 6 | 4 | 1 | 22 | 7 |
62 | 232 | 1613 | 3 | 7 | 1 | 3 | 9 | 3 |
63 | 387 | 3109 | 2 | 9 | 4 | 3 | 19 | 9 |
64 | 358 | 2866 | 2 | 5 | 4 | 2 | 22 | 7 |
65 | 222 | 1514 | 4 | 4 | 1 | 2 | 8 | 3 |
66 | 261 | 1917 | 4 | 9 | 2 | 2 | 13 | 4 |
67 | 276 | 1529 | 2 | 6 | 2 | 1 | 15 | 5 |
68 | 329 | 2604 | 2 | 4 | 4 | 1 | 20 | 7 |
69 | 333 | 2624 | 2 | 3 | 4 | 1 | 20 | 8 |
70 | 305 | 2381 | 4 | 2 | 3 | 1 | 17 | 5 |
71 | 263 | 1921 | 4 | 6 | 2 | 1 | 13 | 5 |
72 | 230 | 1564 | 2 | 5 | 1 | 3 | 9 | 3 |
73 | 362 | 3067 | 4 | 9 | 5 | 3 | 23 | 8 |
74 | 341 | 2705 | 2 | 4 | 4 | 1 | 20 | 7 |
75 | 306 | 2305 | 2 | 8 | 3 | 3 | 17 | 5 |
76 | 398 | 3343 | 3 | 5 | 5 | 3 | 26 | 9 |
77 | 273 | 2021 | 4 | 8 | 2 | 2 | 14 | 5 |
78 | 410 | 3470 | 3 | 6 | 3 | 2 | 17 | 9 |
79 | 320 | 2476 | 4 | 3 | 4 | 1 | 19 | 6 |
80 | 279 | 1558 | 2 | 7 | 3 | 2 | 15 | 5 |
81 | 345 | 2725 | 2 | 5 | 4 | 2 | 21 | 7 |
82 | 376 | 2997 | 3 | 3 | 5 | 3 | 23 | 9 |
83 | 388 | 3131 | 3 | 5 | 5 | 3 | 25 | 9 |
84 | 383 | 3041 | 2 | 5 | 5 | 2 | 25 | 9 |
85 | 361 | 3060 | 2 | 8 | 4 | 2 | 22 | 8 |
86 | 238 | 1633 | 3 | 7 | 1 | 2 | 10 | 5 |
87 | 250 | 1785 | 4 | 6 | 2 | 3 | 11 | 4 |
88 | 378 | 3026 | 2 | 7 | 5 | 1 | 24 | 9 |
89 | 305 | 2407 | 2 | 5 | 3 | 2 | 17 | 5 |
90 | 274 | 2029 | 3 | 3 | 2 | 3 | 15 | 5 |
91 | 296 | 2242 | 4 | 2 | 3 | 2 | 16 | 6 |
92 | 227 | 1613 | 3 | 8 | 1 | 2 | 8 | 3 |
93 | 330 | 2617 | 3 | 6 | 4 | 3 | 20 | 7 |
94 | 307 | 2308 | 4 | 2 | 3 | 3 | 17 | 5 |
95 | 260 | 1915 | 4 | 8 | 2 | 1 | 12 | 4 |
96 | 406 | 3463 | 3 | 7 | 4 | 1 | 19 | 9 |
97 | 253 | 1912 | 2 | 7 | 2 | 3 | 11 | 4 |
98 | 258 | 1853 | 2 | 6 | 2 | 3 | 12 | 3 |
99 | 246 | 1772 | 3 | 9 | 1 | 2 | 11 | 3 |
100 | 278 | 1620 | 4 | 8 | 2 | 2 | 15 | 5 |
101 | 309 | 2327 | 3 | 5 | 3 | 3 | 17 | 6 |
102 | 325 | 2488 | 3 | 6 | 4 | 3 | 20 | 6 |
103 | 327 | 2516 | 2 | 3 | 4 | 3 | 20 | 7 |
104 | 341 | 2717 | 4 | 9 | 4 | 3 | 20 | 7 |
105 | 253 | 1913 | 4 | 3 | 2 | 2 | 11 | 4 |
106 | 387 | 3120 | 3 | 8 | 5 | 1 | 25 | 9 |
107 | 342 | 2722 | 4 | 4 | 4 | 3 | 20 | 7 |
108 | 364 | 3109 | 3 | 5 | 5 | 3 | 23 | 8 |
109 | 372 | 2930 | 3 | 2 | 5 | 1 | 23 | 8 |
110 | 242 | 1750 | 3 | 4 | 1 | 3 | 10 | 3 |
111 | 388 | 3302 | 3 | 8 | 3 | 2 | 16 | 9 |
112 | 394 | 3247 | 3 | 4 | 5 | 2 | 25 | 9 |
113 | 261 | 1919 | 4 | 3 | 2 | 3 | 12 | 4 |
114 | 296 | 2255 | 3 | 4 | 3 | 3 | 16 | 6 |
115 | 249 | 1777 | 3 | 2 | 2 | 2 | 11 | 3 |
116 | 282 | 2146 | 2 | 5 | 3 | 2 | 15 | 5 |
117 | 381 | 3037 | 2 | 4 | 5 | 2 | 24 | 9 |
118 | 290 | 2217 | 4 | 6 | 3 | 1 | 16 | 6 |
119 | 349 | 2773 | 4 | 3 | 4 | 2 | 21 | 7 |
120 | 256 | 1825 | 2 | 2 | 2 | 3 | 12 | 3 |
121 | 287 | 1912 | 3 | 9 | 3 | 2 | 16 | 5 |
122 | 316 | 2431 | 4 | 2 | 3 | 1 | 18 | 6 |
123 | 263 | 1923 | 4 | 7 | 2 | 2 | 13 | 5 |
124 | 225 | 1524 | 3 | 6 | 1 | 3 | 8 | 3 |
125 | 351 | 2790 | 2 | 5 | 4 | 2 | 21 | 7 |
126 | 354 | 2852 | 3 | 6 | 4 | 2 | 22 | 7 |
127 | 242 | 1750 | 4 | 2 | 1 | 3 | 11 | 3 |
128 | 374 | 2936 | 3 | 4 | 5 | 1 | 23 | 8 |
129 | 367 | 2922 | 2 | 9 | 5 | 2 | 23 | 8 |
130 | 258 | 1887 | 2 | 4 | 2 | 3 | 12 | 3 |
131 | 377 | 3022 | 3 | 7 | 5 | 1 | 24 | 9 |
132 | 309 | 2334 | 4 | 7 | 3 | 3 | 17 | 6 |
133 | 327 | 2525 | 3 | 9 | 4 | 2 | 20 | 7 |
134 | 231 | 1570 | 4 | 3 | 1 | 2 | 9 | 3 |
135 | 411 | 3487 | 3 | 4 | 3 | 1 | 16 | 9 |
136 | 399 | 2778 | 2 | 3 | 4 | 3 | 19 | 8 |
137 | 236 | 1772 | 4 | 4 | 1 | 2 | 9 | 3 |
138 | 392 | 2778 | 2 | 3 | 5 | 2 | 25 | 9 |
139 | 386 | 3067 | 2 | 5 | 3 | 3 | 16 | 9 |
140 | 259 | 1912 | 4 | 9 | 2 | 3 | 12 | 4 |
141 | 226 | 1526 | 3 | 8 | 1 | 3 | 8 | 3 |
142 | 392 | 2790 | 4 | 6 | 5 | 3 | 25 | 9 |
143 | 345 | 2726 | 3 | 5 | 4 | 3 | 21 | 7 |
144 | 324 | 2484 | 2 | 5 | 4 | 1 | 19 | 6 |
145 | 351 | 2801 | 2 | 6 | 4 | 2 | 21 | 7 |
146 | 241 | 1740 | 2 | 7 | 1 | 2 | 10 | 3 |
147 | 300 | 2260 | 2 | 4 | 3 | 1 | 17 | 6 |
148 | 395 | 3271 | 2 | 8 | 3 | 1 | 18 | 9 |
149 | 353 | 2837 | 3 | 5 | 4 | 2 | 22 | 8 |
150 | 328 | 2548 | 3 | 4 | 4 | 3 | 20 | 7 |
151 | 269 | 1956 | 2 | 3 | 2 | 2 | 13 | 5 |
152 | 237 | 1781 | 2 | 7 | 1 | 1 | 10 | 3 |
153 | 351 | 2808 | 3 | 5 | 4 | 3 | 21 | 7 |
154 | 309 | 2348 | 3 | 6 | 3 | 2 | 17 | 6 |
155 | 319 | 2447 | 2 | 3 | 4 | 1 | 19 | 6 |
156 | 316 | 2437 | 3 | 4 | 3 | 1 | 18 | 6 |
157 | 293 | 2235 | 2 | 3 | 3 | 3 | 16 | 6 |
158 | 369 | 2927 | 3 | 6 | 5 | 1 | 23 | 8 |
159 | 312 | 2372 | 4 | 9 | 3 | 1 | 18 | 6 |
160 | 396 | 3294 | 3 | 5 | 5 | 1 | 26 | 9 |
161 | 263 | 1928 | 2 | 6 | 2 | 1 | 13 | 5 |
162 | 279 | 2110 | 2 | 6 | 3 | 1 | 15 | 6 |
163 | 374 | 2954 | 3 | 2 | 5 | 2 | 23 | 8 |
164 | 335 | 2642 | 3 | 7 | 4 | 3 | 20 | 8 |
165 | 317 | 2439 | 4 | 7 | 4 | 1 | 19 | 6 |
166 | 330 | 2620 | 4 | 6 | 4 | 1 | 20 | 7 |
167 | 274 | 2035 | 2 | 6 | 2 | 3 | 15 | 5 |
168 | 398 | 2744 | 4 | 3 | 5 | 3 | 26 | 8 |
169 | 336 | 2372 | 2 | 9 | 4 | 1 | 20 | 8 |
170 | 226 | 1529 | 2 | 4 | 1 | 1 | 8 | 3 |
171 | 315 | 2407 | 4 | 7 | 3 | 3 | 18 | 6 |
172 | 281 | 2133 | 2 | 9 | 3 | 2 | 15 | 6 |
173 | 351 | 2811 | 3 | 7 | 4 | 2 | 21 | 7 |
174 | 384 | 3060 | 2 | 8 | 5 | 3 | 25 | 9 |
175 | 385 | 3067 | 3 | 7 | 3 | 3 | 16 | 9 |
176 | 285 | 1887 | 4 | 8 | 3 | 3 | 15 | 5 |
177 | 297 | 2256 | 2 | 3 | 3 | 1 | 16 | 6 |
178 | 289 | 1913 | 3 | 4 | 3 | 2 | 16 | 5 |
179 | 257 | 1832 | 2 | 6 | 2 | 1 | 12 | 3 |
180 | 270 | 1903 | 4 | 3 | 2 | 3 | 14 | 5 |
181 | 258 | 1903 | 2 | 6 | 2 | 2 | 12 | 3 |
182 | 340 | 2381 | 4 | 6 | 4 | 2 | 20 | 8 |
183 | 272 | 1913 | 2 | 3 | 2 | 1 | 14 | 5 |
184 | 245 | 1763 | 4 | 9 | 1 | 3 | 11 | 3 |
185 | 377 | 3024 | 2 | 4 | 5 | 2 | 24 | 9 |
186 | 276 | 1613 | 3 | 3 | 2 | 1 | 15 | 5 |
187 | 272 | 2010 | 2 | 7 | 2 | 2 | 14 | 5 |
188 | 263 | 1933 | 2 | 2 | 2 | 3 | 13 | 5 |
189 | 395 | 3280 | 2 | 6 | 3 | 2 | 18 | 9 |
190 | 374 | 2962 | 2 | 4 | 5 | 1 | 23 | 8 |
191 | 353 | 2840 | 3 | 7 | 4 | 3 | 22 | 8 |
192 | 394 | 3259 | 2 | 9 | 5 | 3 | 25 | 9 |
193 | 300 | 2276 | 3 | 7 | 3 | 1 | 17 | 6 |
194 | 400 | 2790 | 4 | 7 | 5 | 3 | 26 | 8 |
195 | 389 | 3343 | 3 | 9 | 5 | 3 | 25 | 9 |
196 | 249 | 1781 | 2 | 2 | 2 | 3 | 11 | 4 |
197 | 229 | 1630 | 2 | 9 | 1 | 2 | 9 | 3 |
198 | 351 | 2823 | 3 | 8 | 4 | 1 | 21 | 7 |
199 | 267 | 1942 | 3 | 7 | 2 | 3 | 13 | 5 |
200 | 400 | 3398 | 4 | 4 | 5 | 1 | 26 | 9 |
201 | 271 | 1912 | 4 | 2 | 2 | 2 | 14 | 5 |
202 | 281 | 2133 | 4 | 6 | 3 | 1 | 15 | 6 |
203 | 396 | 3302 | 2 | 4 | 5 | 2 | 26 | 9 |
204 | 345 | 2737 | 2 | 4 | 4 | 3 | 21 | 7 |
205 | 349 | 2778 | 3 | 4 | 4 | 3 | 21 | 7 |
206 | 274 | 2039 | 2 | 4 | 2 | 3 | 14 | 5 |
207 | 281 | 2143 | 4 | 6 | 3 | 2 | 15 | 5 |
208 | 400 | 3452 | 2 | 4 | 4 | 2 | 19 | 9 |
209 | 269 | 1960 | 4 | 3 | 2 | 3 | 13 | 5 |
210 | 314 | 2381 | 4 | 2 | 3 | 2 | 18 | 6 |
211 | 364 | 3120 | 2 | 6 | 5 | 2 | 23 | 8 |
212 | 255 | 1824 | 3 | 3 | 2 | 3 | 12 | 4 |
213 | 345 | 2744 | 3 | 6 | 4 | 1 | 21 | 7 |
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