Question

Phenolic compounds are found in the effluents of coal conversion processes, petroleum refineries, herbicide manufacturing, and fiberglass manufacturing. These compounds are toxic, carcinogenic, and have contributed over the past decades to environmental pollution of aquatic environments. A certain study examined the sorption characteristics of three selected phenolic compounds. Consider the following data on y = sorbed concentration (µg/g) and x = equilibrium concentration (µg/mL) of 2, 4-Dinitrophenol (DNP) in a particular natural river sediment. x 0.10 0.15 0.13 0.16 0.27 0.46 0.69 0.77 0.92 y 1.73 2.19 2.31 2.99 5.16 7.59 11.16 12.74 14.77

(a) Calculate point estimates of the slope and intercept of the population regression line. (Round your answers to four decimal places.) slope intercept

(b) Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value =

Answer 1

using excel>data>data analysis >Regression

we have

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.998295
R Square	0.996593
Adjusted R Square	0.996106
Standard Error	0.314123
Observations	9
ANOVA
	df	SS	MS	F	Significance F
Regression	1	202.0354	202.0354	2047.517	6.73E-10
Residual	7	0.690714	0.098673
Total	8	202.7262
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	0.271062	0.177166	1.529991	0.169871	-0.14787	0.689992
x	15.94533	0.352387	45.2495	6.73E-10	15.11206	16.77859

(a) the point estimates of the slope and intercept of the population regression line is

slope =15.9453

intercept =0.2711

(b)t =45.25

P-value =0.000