Question

A coffee company uses a? data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve its?package-sealing process, an experiment was conducted to determine the factors in the? bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the? bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. Complete parts? (a) through? (e) below.

Total FT Jobs Added		Total Worldwide Revenues? ($millions)		FT Voluntary Turnover? (%)
415		8,843.900		4.504
6,163		11,814.000		11.549
?64		4,487.000		8.322
36		551.000		12.383
?973		7,998.700		8.329
494		6,332.446		16.986
?122		9,374.000		6.802
1,160		3,651.328		6.168
329		236.698		7.893
5		888.000		10.837
498		6,671.684		4.260
60		9,502.000		4.908
4,040		1,396.000		13.136
224		2,870.000		1.771
373		8,657.000		9.030
1,264		12,316.379		20.038
569		1,309.239		6.996
95		706.757		10.535
-111		23,420.000		14.355
263		332.268		1.950

a. State the multiple regression equation.

Let X1 represent the Total Worldwide Revenues? ($millions) and let X2 represent the FT Voluntary Turnover? (%).

^Yi=_______+(______) X1i+(________) X2i

?(Round the constant and X2i?-coefficient to the nearest integer as needed. Round the iX1i?-coefficient to four decimal places as? needed.)

Answer 1

The statistical software output for this problem is:

Multiple linear regression results:
Dependent Variable: Total FT Jobs Added
Independent Variable(s): Total Worldwide Revenues? ($millions), FT Voluntary Turnover? (%)
Total FT Jobs Added = 200.51023 + 0.0079350191 Total Worldwide Revenues? ($millions) + 74.245875 FT Voluntary Turnover? (%)

Parameter estimates:

Parameter	Estimate	Std. Err.	Alternative	DF	T-Stat	P-value
Intercept	200.51023	884.00825	? 0	14	0.22681941	0.8238
Total Worldwide Revenues? ($millions)	0.0079350191	0.074077867	? 0	14	0.10711727	0.9162
FT Voluntary Turnover? (%)	74.245875	88.548993	? 0	14	0.83847228	0.4159

Analysis of variance table for multiple regression model:

Source	DF	SS	MS	F-stat	P-value
Model	2	2614542.5	1307271.2	0.44437211	0.65
Error	14	41185746	2941839
Total	16	43800289

Summary of fit:
Root MSE: 1715.179
R-squared: 0.0597
R-squared (adjusted): -0.0746

Hence,

The regression equation will be:

= 201 + 0.0079 x1 + 74 x2