Acute Regression Line/Acute Regression Line - All Studies

Multiple R

0.969215243

R Square

0.939378188

Adjusted R Square

0.919170917

Standard Error

1.231648238

Observations

5

df

SS

MS

F

Significance F

Regression

1

70.51900786

70.51900

46.48713

0.006453893

Residual

3

4.550872143

1.516957

Total

4

75.06988

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Lower 95.0%

Upper 95.0%

Intercept

2.162165242

0.801499292

2.697650

0.073933

-0.38856561

4.71289609

-0.38856561

4.712896095

X Variable 1

0.04440531

0.006512811

6.818147

0.006453

0.023678618

0.06513200

0.023678618

0.065132003

Observation

Predicted Y

Residuals

1

3.272298005

-1.172298005

2

3.671945799

0.098054201

3

3.849567041

-0.049567041

4

6.602696291

1.687303709

5

13.26349286

-0.563492864

Regression Statistics

Multiple R

0.94983343

R Square

0.902183545

Adjusted R Square

0.877729431

Standard Error

1.45588274

Observations

6

df

SS

MS

F

Significance F

Regression

1

78.19802179

78.19802

36.89291

0.0037119

Residual

4

8.478378209

2.119594

Total

5

86.6764

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Lower 95.0%

Upper 95.0%

Intercept

1.808610518

0.851245248

2.124664

0.100811

-0.554830078

4.17205111

-0.554830078

4.172051114

X Variable 1

0.044064161

0.007254609

6.073953

0.003711

0.023922095

0.06420622

0.023922095

0.064206226

Observation

Predicted Y

Residuals

1

2.91021453

-0.51021453

2

3.306791975

0.463208025

3

3.483048617

0.316951383

4

3.923690222

-1.823690222

5

6.215026568

2.074973432

6

13.22122809

-0.521228088

Hardness

Mn Concentration

(mg/L CaCO₃)

(mg/L)

25

2.4

34

3.77

38

3.8

48

2.1

100

8.29

259

12.7