An article gave the data, shown in the table below, on dimensions of 27 representative food products. Product Material Height Maximum Width Minimum Width Elongation Volume 1 glass 7.7 2.50 1.80 1.50 121 2 glass 6.2 2.90 2.70 1.07 133 3 glass 8.5 2.15 2.00 1.98 180 4 glass 10.4 2.90 2.60 1.79 281 5 plastic 8.0 3.20 3.15 1.25 325 6 glass 8.7 2.00 1.80 2.17 86 7 glass 10.2 1.60 1.50 3.19 120 8 plastic 10.5 4.80 3.80 1.09 520 9 plastic 3.4 5.90 5.00 0.29 335 10 plastic 6.9 5.80 4.75 0.59 575 11 tin 10.9 2.90 2.80 1.88 343 12 plastic 9.7 2.45 2.10 1.98 174 13 glass 10.1 2.60 2.20 1.94 237 14 glass 13.0 2.60 2.60 2.50 242 15 glass 13.0 2.70 2.60 2.41 360 16 glass 11.0 3.10 2.90 1.77 313 17 cardboard 8.7 5.10 5.10 0.85 633 18 cardboard 17.1 10.20 10.20 0.84 1245 19 glass 16.5 3.50 3.50 2.36 646 20 glass 16.5 2.70 1.20 3.06 300 21 glass 9.7 3.00 1.70 1.62 319 22 glass 17.8 2.70 1.75 3.30 303 23 glass 14.0 2.50 1.70 2.80 250 24 glass 13.6 2.40 1.20 2.83 199 25 plastic 27.9 4.40 1.20 3.17 1201 26 tin 19.5 7.50 7.50 1.30 2326 27 tin 13.8 4.25 4.25 1.62 726 (a) Fit a multiple regression model for predicting the volume (in ml) of a package based on its minimum width, maximum width, and elongation score. (Round your numerical values to two decimal places. Use x1 for minimum width, x2 for the maximum width and x3 for the elongation score.) y= Calculate the test statistic and calculate for the P-value. (Round your answer to two decimal places.) F = P-value =

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

An article gave the data, shown in the table below, on dimensions of 27 representative food products.

Product	Material	Height	Maximum Width	Minimum Width	Elongation	Volume
1	glass	7.7	2.50	1.80	1.50	121
2	glass	6.2	2.90	2.70	1.07	133
3	glass	8.5	2.15	2.00	1.98	180
4	glass	10.4	2.90	2.60	1.79	281
5	plastic	8.0	3.20	3.15	1.25	325
6	glass	8.7	2.00	1.80	2.17	86
7	glass	10.2	1.60	1.50	3.19	120
8	plastic	10.5	4.80	3.80	1.09	520
9	plastic	3.4	5.90	5.00	0.29	335
10	plastic	6.9	5.80	4.75	0.59	575
11	tin	10.9	2.90	2.80	1.88	343
12	plastic	9.7	2.45	2.10	1.98	174
13	glass	10.1	2.60	2.20	1.94	237
14	glass	13.0	2.60	2.60	2.50	242
15	glass	13.0	2.70	2.60	2.41	360
16	glass	11.0	3.10	2.90	1.77	313
17	cardboard	8.7	5.10	5.10	0.85	633
18	cardboard	17.1	10.20	10.20	0.84	1245
19	glass	16.5	3.50	3.50	2.36	646
20	glass	16.5	2.70	1.20	3.06	300
21	glass	9.7	3.00	1.70	1.62	319
22	glass	17.8	2.70	1.75	3.30	303
23	glass	14.0	2.50	1.70	2.80	250
24	glass	13.6	2.40	1.20	2.83	199
25	plastic	27.9	4.40	1.20	3.17	1201
26	tin	19.5	7.50	7.50	1.30	2326
27	tin	13.8	4.25	4.25	1.62	726

(a)

Fit a multiple regression model for predicting the volume (in ml) of a package based on its minimum width, maximum width, and elongation score. (Round your numerical values to two decimal places. Use x₁ for minimum width, x₂ for the maximum width and x₃ for the elongation score.)

Calculate the test statistic and calculate for the P-value. (Round your answer to two decimal places.)

F =

P-value =

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