Simple regression was employed to establish the effects of childhood exposure to

Question

Simple regression was employed to establish the effects of childhood exposure to lead. The effective sample size was about 122 subjects. The independent variable was the level of dentin lead (parts per million). Below are regressions using various dependent variables. (a) Calculate the t statistic for each slope, at significance level = 0.01. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) (b) It would be inappropriate to assume cause and effect without a better understanding of how the study was conducted. Yes No

Explanation / Answer

t -statistic = Estimated slope / std error

Estimated slope

Std. error

tcal

P -value

Differ from 0

-0.027

0.009

-3.000

0.008

Yes

-0.070

0.018

-3.889

0.000

Yes

-0.006

0.003

-2.000

0.048

No

4.8

1.7

2.824

0.006

No

0.159

0.062

2.565

0.012

No

-0.124

0.032

-3.875

0.000

Yes

0.041

0.018

2.278

0.020

Yes

11.8

6.66

1.772

0.080

Yes

-0.639

0.36

-1.775

0.082

Yes

yes

Estimated slope

Std. error

tcal

P -value

Differ from 0

-0.027

0.009

-3.000

0.008

Yes

-0.070

0.018

-3.889

0.000

Yes

-0.006

0.003

-2.000

0.048

No

4.8

1.7

2.824

0.006

No

0.159

0.062

2.565

0.012

No

-0.124

0.032

-3.875

0.000

Yes

0.041

0.018

2.278

0.020

Yes

11.8

6.66

1.772

0.080

Yes

-0.639

0.36

-1.775

0.082

Yes

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