A multiple regression analysis produced the following tables

A multiple regression analysis produced the following tables.

Predictor

Coefficients

Standard Error

t Statistic

p-value

Intercept

752.0833

336.3158

2.236241

0.042132

x1

11.87375

5.32047

2.231711

0.042493

x2

1.908183

0.662742

2.879226

0.01213

      ANOVA

Source

Df

SS

MS

F

p-value

Regression

2

203693.3

101846.7

6.745406

0.010884

Residual

12

181184.1

15098.67

Total

14

384877.4

What is the sample size?

What would be your estimate if x1 = 20 and x2 = 300?

What is your opinion about this model, is it a reasonable model to use to estimate your dependent variable?

Predictor	Coefficients	Standard Error	t Statistic	p-value
Intercept	752.0833	336.3158	2.236241	0.042132
x1	11.87375	5.32047	2.231711	0.042493
x2	1.908183	0.662742	2.879226	0.01213

Solution

1) sample size is total degree of freedom +!

so sample size = 14+1 =15

2)

y = 752.08 + 11.87*X1 + 1.908*X2

put X1 = 20 and X2 = 300

y = 752.08 + 11.87*20 + 1.908*300

y = 1561.88

3) P value of rejecting X1 and X2 both less than 0.1

so we have to accept both parameter

and also P value of rejecting full model also less than 0.1

so This moel is very significance

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