1.Santa Claus wants to estimate how many ounces of milk will be left at houses he visits based on (1) the assessed property value of the residence; (2) if the children of the household were naughty, nice, or some of each (mixed). Below are some data he took last year.

Milk (ounces)

Property Value ($1000)

Behavior

0.0

240

Naughty

0.0

160

Naughty

3.3

150

Naughty

0.0

525

Naughty

2.0

600

Naughty

0.0

800

Naughty

0.0

850

Naughty

11.9

220

Nice

10.2

360

Nice

12.5

125

Nice

8.1

610

Nice

7.8

840

Nice

9.8

550

Nice

11.7

250

Nice

11.1

110

Mixed

5.0

240

Mixed

9.0

450

Mixed

8.6

960

Mixed

6.1

180

Mixed

14.0

750

Mixed

2.0

660

Mixed

The R output for the full model with interactions is

Estimate Std. Error t value Pr(>|t|)

(Intercept)

7.2465705

1.8944850

3.8251

0.001656

Prop.Val.1000

0.0015146

0.0033608

0.4507

0.658670

BehaviorNaughty

-5.7444806

2.7584885

-2.0825

0.054832

BehaviorNice

6.0066658

2.7938943

2.1499

0.048282

Prop.Val.1000:BehaviorNaughty

-0.0030829

0.0049670

-0.6207

0.544125

Prop.Val.1000:BehaviorNice

-0.0085443

0.0054161

-1.5776

0.135515

n = 21, p = 6, Residual SE = 2.64862, R-Squared = 0.78

(a)Use the model to predict the amount of milk left for Santa at a $500,000 home of a child who was partly naughty, and partly nice (mixed).