Question

Question 13 10 pts In a fluorescence spectrometer standard aqueous solutions of the fluorescent dye fluorescein are examined and yield the following fluorescence intensities: Concentration 0.00 2.00 4.00 6.00 8.00 10.00 12.00 [pg/mL] Fluorescence 5.00 9.0012.60 17.30 21.00 24.71 Intensity What is the 95% confidence interval for the expected y-intercept? Given, the standard deviation of the regression line is 0.187. 1.52 0.35 0-1.52 ± 0.074 1.93 0.74 1.53 +0.64

Answer 1

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Fluorescence
Independent Variable: Concentration

Regression Statistics
Multiple R	0.999458
R Square	0.998916
Adjusted R Square	0.998644
Standard Error	0.274187
Observations	6

Parameter estimates:

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	1.01	0.255254	3.956838	0.016722	0.3013	1.7187
0	1.989286	0.032772	60.70146	4.41E-07	1.898297	2.080274

Analysis of variance table for regression model:

	df	SS	MS	F	Significance F
Regression	1	277.008	277.008	3684.667	4.41E-07
Residual	4	0.300714	0.075179
Total	5	277.3088

Hence,

The linear equation is

y = 1.93 x + 1.52

y-intercept

x= 0

y = 1.52 +- 0.35

Therefore,

Option A is correct