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. (Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.)Dependent VariableR^2Estimated SlopeStandard Errort calculatedp-value Highest grade achieved0.028-0.0300.002 0.000 Reading grade equivalent0.159-0.0330.034 0.334 Class Standing0.052-0.0100.018 0.580 Absence from school0.0635.2001.890 0.007 Grammatical reasoning0.0900.1280.073 0.082 Vocabulary0.149-0.1070.057 0.063 Hand-eye coordination0.0550.0960.034 0.006 Reaction time0.02910.2006.340 0.110 Minor antisocial behavior0.025-0.5670.317 0.076

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. (Round your answers to 2 decimal places. Negative values should be indicated by a minus sign.)

Dependent Variable	R^2	Estimated Slope	Standard Error	t calculated	p-value
Highest grade achieved	0.028	-0.030	0.002		0.000
Reading grade equivalent	0.159	-0.033	0.034		0.334
Class Standing	0.052	-0.010	0.018		0.580
Absence from school	0.063	5.200	1.890		0.007
Grammatical reasoning	0.090	0.128	0.073		0.082
Vocabulary	0.149	-0.107	0.057		0.063
Hand-eye coordination	0.055	0.096	0.034		0.006
Reaction time	0.029	10.200	6.340		0.110
Minor antisocial behavior	0.025	-0.567	0.317		0.076