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Many regions along the coast in North and South Carolina andGeorgia have experienced rapid population growth over the last 10years. It is expected that the growth will continue over the next10 years. The director gathered the following sample information.

Family		Food		Income		Size
1		$3.84		$73.98		1
2		4.08		54.90		2
3		5.76		53.20		4
4		3.48		52.02		1
5		4.20		65.70		2
6		4.80		53.64		4
7		4.32		79.74		3
8		5.04		68.58		4
9		6.12		165.60		5
10		3.24		64.80		1
11		4.80		138.42		3
12		3.24		125.82		1
13		7.20		77.58		7
14		6.40		94.15		5
15		6.60		135.76		8
16		5.40		141.30		3
17		6.00		36.90		5
18		5.40		56.88		4
19		3.36		71.82		1
20		4.68		69.48		3
21		4.32		54.36		2
22		5.52		87.66		5
23		4.56		38.16		3
24		5.40		43.74		7
25		5.90		62.40		6

(a-1)

Develop a correlation matrix. (Round your answers to 3decimal places. Negative amounts should be indicated by a minussign.)

	Food	Income
Income
Size

(b-1)

Determine the regression equation. (Round your answersto 3 decimal places. Leave no cells blank - be certain to enter "0"wherever required.)

The regression equation is: Food=  +  Income +  Size.

(b-2)

How much does an additional family member add to the amountspent on food? (Round your answer to the nearest dollaramount.)

Another member of the family adds $  tothe food bill.

(c-1)

What is the value of R2? (Roundyour answer to 3 decimal places.)

(c-2)

State the decision rule for 0.05 significance level.H0: ?1 = ?2 = 0;H1: Not all ?i's are 0.(Round your answer to 2 decimal places.)

Source	DF	SS	MS	F	p
Regression
Error
Total

(c-3)

Complete the ANOVA (Leave no cells blank - be certainto enter "0" wherever required. Round SS, MS to 3 decimal placesand F to 2 decimal places.)

(d-1)

Complete the given below table. (Leave no cells blank -be certain to enter "0" wherever required. Do not round theintermediate calculations. Round T to 2 decimal places and allother values to 3 decimal places.)

Predictor	Coef	SE Coef	T	P
Income
Size