In: Statistics and Probability
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. From
the p-values, which slopes differ from zero at α = .01?
(Round your answers to 2 decimal places. Negative values
should be indicated by a minus sign.)
Dependent Variable | R2 | Estimated Slope | Std Error | tcalculated | p-value | Differ from 0? | |||||||||||
Highest grade achieved | 0.029 | -0.028 | 0.006 | .000 | (Click to select) No Yes | ||||||||||||
Reading grade equivalent | 0.111 | -0.070 | 0.012 | .000 | (Click to select) No Yes | ||||||||||||
Class standing | 0.026 | -0.006 | 0.006 | .319 | (Click to select) No Yes | ||||||||||||
Absence from school | 0.084 | 5.300 | 1.230 | .000 | (Click to select) Yes No | ||||||||||||
Grammatical reasoning | 0.057 | 0.155 | 0.036 | .000 | (Click to select) No Yes | ||||||||||||
Vocabulary | 0.115 | -0.131 | 0.086 | .130 | (Click to select) Yes No | ||||||||||||
Hand-eye coordination | 0.043 | 0.014 | 0.039 | .720 | (Click to select) No Yes | ||||||||||||
Reaction time | 0.033 | 9.100 | 2.910 | .002 | (Click to select) No Yes | ||||||||||||
Minor antisocial behavior | 0.030 | -0.596 | 0.480 | .217 | (Click to select) Yes No | ||||||||||||
(b) It would be inappropriate to assume cause and
effect without a better understanding of how the study was
conducted.
No
Yes