For the assumed cubic and log-log regression models, Demand = Be + B1Price + B2Price? + B3Price3 + ɛ and In (Demand) = Bo + B1 regression results are available. Variable Cubic Model Log-Log Model Intercept 85,345.5 26.2770 -587.4415 N/A x2 1.3074 N/A x3 In(x) -.0010 N/A N/A -3. 2694 R2 0.9810 0.9820 Adjusted R2 Standard Error se 0.9798 0.9818 1,515.4580 0.2094 3.2694 In(Price) + (0.2094)2/2) is 0.96: Assuming that the sample correlation coefficient between Demand and Demand = exp(26.2770 $250 found by the model with better fit?

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The following data show the demand for an airline ticket dependent on the price of this ticket.
Price
100
110
120
130
140
150
160
170
180
190
200
210
220
230
Demand 42,308 39,508 32,058 28,558 25,058 22,758 20,538 17,528 15,408 13,248 11,238 8,088 7,428 6,058
Price
240
250
260
270
280
290
300
310
320
330
340
350
360
370
Demand
5,438 4,918 4,458 4, 028 3,648 3,298 2,988 2,708 2,448 2,368 2,008 1,8081,638 1,488
Price
380
390
400
410
420
430
440
450
460
470
480
490
500
510
Demand
1,348 1,218 1,108
998
908
818
748
668
608
548
498
458
408
368
Price
520
530
540
550
560
570
580
590
600
610
620
630
640
650
Demand
338
328
318
308
288
268
258
248
228
208
188
168
168
158
For the assumed cubic and log-log regression models, Demand = B9 + B1Price + B2Price? + B3Price + e and In (Demand) = Ba + 81ln(Price) + €, respectively, the following
regression results are available.
Variable
Cubic Model
Log-Log Model
85,345.5
-587.4415
Intercept
26.2770
N/A
x2
1.3074
N/A
x3
-.0010
N/A
In(x)
N/A
-3.2694
R2
0.9810
0.9820
Adjusted R2
0.9798
0.9818
Standard Error se
1,515.4580
0.2094
Assuming that the sample correlation coefficient between Demand and Demand = exp(26.2770 - 3.2694 In(Price) + (0.2094)2/2) is 0.963, what is the predicted demand for a price of
$250 found by the model with better fit?
Transcribed Image Text:The following data show the demand for an airline ticket dependent on the price of this ticket. Price 100 110 120 130 140 150 160 170 180 190 200 210 220 230 Demand 42,308 39,508 32,058 28,558 25,058 22,758 20,538 17,528 15,408 13,248 11,238 8,088 7,428 6,058 Price 240 250 260 270 280 290 300 310 320 330 340 350 360 370 Demand 5,438 4,918 4,458 4, 028 3,648 3,298 2,988 2,708 2,448 2,368 2,008 1,8081,638 1,488 Price 380 390 400 410 420 430 440 450 460 470 480 490 500 510 Demand 1,348 1,218 1,108 998 908 818 748 668 608 548 498 458 408 368 Price 520 530 540 550 560 570 580 590 600 610 620 630 640 650 Demand 338 328 318 308 288 268 258 248 228 208 188 168 168 158 For the assumed cubic and log-log regression models, Demand = B9 + B1Price + B2Price? + B3Price + e and In (Demand) = Ba + 81ln(Price) + €, respectively, the following regression results are available. Variable Cubic Model Log-Log Model 85,345.5 -587.4415 Intercept 26.2770 N/A x2 1.3074 N/A x3 -.0010 N/A In(x) N/A -3.2694 R2 0.9810 0.9820 Adjusted R2 0.9798 0.9818 Standard Error se 1,515.4580 0.2094 Assuming that the sample correlation coefficient between Demand and Demand = exp(26.2770 - 3.2694 In(Price) + (0.2094)2/2) is 0.963, what is the predicted demand for a price of $250 found by the model with better fit?
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