Question

An agricultural scientist planted alfalfa on several plots of land, identical except for the soil pH. Following are the dry matter yields (in pounds per acre) for each plot.

pH	4.6	4.8	5.2	5.4	5.6	5.8	6
Yield	1056	1833	1629	1852	1783	2647	2111

Compute the least-squares line for predicting yield from pH. Round the answers to two decimal places.

y = ____ + ______x

Answer 1

Hello

YOUR REQUIRED ANSWER IS : y = -2049.28 + 728.77x

Using the given data:

pH	Yield
4.6	1056
4.8	1833
5.2	1629
5.4	1852
5.6	1783
5.8	2647
6	2111

Using Data Analysis package of Excel:

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.77706933
R Square	0.603836743
Adjusted R Square	0.524604092
Standard Error	331.5257045
Observations	7
ANOVA
	df	SS	MS	F	Significance F
Regression	1	837625.2505	837625.2505	7.621059417	0.039805079
Residual	5	549546.4638	109909.2928
Total	6	1387171.714
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-2049.275362	1415.997228	-1.447231197	0.207482851	-5689.212115	1590.66139	-5689.212115	1590.66139
pH	728.7681159	263.9864829	2.760626635	0.039805079	50.16925812	1407.366974	50.16925812	1407.366974

Thanks!

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