Simple regression was employed to establish the effects of childhood exposure to lead. The effective sample...

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Statistics

Simple regression was employed to establish the effects ofchildhood exposure to lead. The effective sample size was about 122subjects. The independent variable was the level of dentin lead(parts per million). Below are regressions using various dependentvariables.

(a) Calculate the t statistic for each slope. Fromthe p-values, which slopes differ from zero at α = .01?(Round your answers to 2 decimal places. Negative valuesshould be indicated by a minus sign.)

Dependent VariableR2Estimated SlopeStd Errortcalculatedp-valueDiffer from 0?
Highest grade achieved0.050-0.0290.010.004(Click to select)  No  Yes
Reading grade equivalent0.126-0.0930.022.000(Click to select)  Yes  No
Class standing0.078-0.0050.002.014(Click to select)  Yes  No
Absence from school0.0734.7001.620.004(Click to select)  No  Yes
Grammatical reasoning0.0900.1320.070.062(Click to select)  No  Yes
Vocabulary0.119-0.1960.002.000(Click to select)  Yes  No
Hand-eye coordination0.0350.0600.027.028(Click to select)  Yes  No
Reaction time0.0169.3003.560.010(Click to select)  No  Yes
Minor antisocial behavior0.037-0.8190.579.160(Click to select)  No  Yes


(b) It would be inappropriate to assume cause andeffect without a better understanding of how the study wasconducted.


  • Yes

  • No

Answer & Explanation Solved by verified expert
3.9 Ratings (770 Votes)
The detailed calculation of the tstat and pvalue isshown using excel formulaAlso the significance is indicated for each variablethe explanation for determining the significanceFor each beta coefficient we test the following hypothesisWe check the pvalue associated with that variableif the pvalue is less than 001level of significance specifiedthen we reject the null hypothesis and conclude that the variableis significant or is statistically different from zero Hence it isa significant predictor of yif the pvalue is greater than 001level of significancespecified then    See Answer
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