A statistical program is recommended.An article gave the data, shown in the table below, on dimensions of 27 representative food products.ProductMaterialHeightMaximumWidthMinimumWidthElongationVolume1glass7.72.501.801.501202glass6.22.902.701.071403glass8.52.152.001.981754glass10.42.902.601.792905plastic8.03.203.151.253346glass8.72.001.802.17877glass10.21.601.503.191188plastic10.54.803.801.095209plastic3.45.905.000.2933310plastic6.95.804.750.5956811tin10.92.902.801.8833712plastic9.72.452.101.9817313glass10.12.602.201.9424514glass13.02.602.602.5023815glass13.02.702.602.4135916glass11.03.102.901.7730517cardboard8.75.105.100.8563618cardboard17.110.2010.200.84125519glass16.53.503.502.3664920glass16.52.701.203.0630421glass9.73.001.701.6231022glass17.82.701.753.3030923glass14.02.501.702.8024324glass13.62.401.202.8319525plastic27.94.401.203.17120726tin19.57.507.501.30233527tin13.84.254.251.62727(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. (Round your answer to two decimal places.)F = Use technology to calculate the P-value. (Round your answer to four decimal places.)P-value =

The data shows the dimensions of 27 representative food products.

Answered: (a) Fit a multiple regression model for…

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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A statistical program is recommended.

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	120
2	glass	6.2	2.90	2.70	1.07	140
3	glass	8.5	2.15	2.00	1.98	175
4	glass	10.4	2.90	2.60	1.79	290
5	plastic	8.0	3.20	3.15	1.25	334
6	glass	8.7	2.00	1.80	2.17	87
7	glass	10.2	1.60	1.50	3.19	118
8	plastic	10.5	4.80	3.80	1.09	520
9	plastic	3.4	5.90	5.00	0.29	333
10	plastic	6.9	5.80	4.75	0.59	568
11	tin	10.9	2.90	2.80	1.88	337
12	plastic	9.7	2.45	2.10	1.98	173
13	glass	10.1	2.60	2.20	1.94	245
14	glass	13.0	2.60	2.60	2.50	238
15	glass	13.0	2.70	2.60	2.41	359
16	glass	11.0	3.10	2.90	1.77	305
17	cardboard	8.7	5.10	5.10	0.85	636
18	cardboard	17.1	10.20	10.20	0.84	1255
19	glass	16.5	3.50	3.50	2.36	649
20	glass	16.5	2.70	1.20	3.06	304
21	glass	9.7	3.00	1.70	1.62	310
22	glass	17.8	2.70	1.75	3.30	309
23	glass	14.0	2.50	1.70	2.80	243
24	glass	13.6	2.40	1.20	2.83	195
25	plastic	27.9	4.40	1.20	3.17	1207
26	tin	19.5	7.50	7.50	1.30	2335
27	tin	13.8	4.25	4.25	1.62	727

(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. (Round your answer to two decimal places.)

F =

Use technology to calculate the P-value. (Round your answer to four decimal places.)

P-value =

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