Question

In a study, the protein absorption (Y) for seven concentration levels (X) of that protein were measured:

Conc. Level (Xi)	4	6	8	10	12	14	16
Absorption (Yi)	10	15	18	18	24	22	26

a) Caculate the ANOVA table. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use α = 0.05).

b) Give a 95% confidence interval for the mean absorption when the concentration level is 10.

c)   Give a 95% prediction interval for the absorption level for an individual protein whose concentration level is 10.

d)   For the data in Homework 2, Question 2, calculate the ANOVA table for the data. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use α = 0.05).

Answer 1

a) The Regression equation is

y=a+bx

SUMMARY OUTPUT
Regression Statics
Multiple R	0.952564
R square	0.907378
Adjusted R Square	0.888854
Standad Error	1.836145
Observations	7
ANOVA TABLE
	or	SS	MS	F	significance F
Regression	1	165.1429	165.1429	48.98305	0.000917
Residual	5	16.85714	3.371429
Total	6	182
	Coefficients	Standard Error	t start	P-value	Lower 95%	Upper 95%	Lower 95.09%	upper 95.09%
Intercept	4.428571	2.194613	2.017928	0.099633	-1.212286	10.07	-1.212286	10.07

Conc.Level (X)

1.214286

0.173499

6.998789

0.000917

0.768291

1.66028

0.768291

1.66028

From above analysis

F cal=48.95

p value=0.000917<0.005

we reject H0,hence the model is significant.