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.) Dependent Variable R2 Estimated Slope Std. Error tcalculated p-value Differ from 0? Highest grade achieved .061 −0.027 0.009 .008 (Click to select) No Yes Reading grade equivalent .121 −0.070 0.018 .000 (Click to select) No Yes Class standing .039 −0.006 0.003 .048 (Click to select) Yes No Absence from school .071 4.8 1.7 .006 (Click to select) No Yes Grammatical reasoning .051 0.159 0.062 .012 (Click to select) Yes No Vocabulary .108 −0.124 0.032 .000 (Click to select) Yes No Hand-eye coordination .043 0.041 0.018 .020 (Click to select) No Yes Reaction time .025 11.8 6.66 .080 (Click to select) No Yes Minor antisocial behavior .025 −0.639 0.36 .082 (Click to select) No Yes
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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.)
| Dependent Variable | R2 | Estimated Slope | Std. Error | tcalculated | p-value | Differ from 0? | ||||||||
| Highest grade achieved | .061 | −0.027 | 0.009 | .008 | (Click to select) No Yes | |||||||||
| Reading grade equivalent | .121 | −0.070 | 0.018 | .000 | (Click to select) No Yes | |||||||||
| Class standing | .039 | −0.006 | 0.003 | .048 | (Click to select) Yes No | |||||||||
| Absence from school | .071 | 4.8 | 1.7 | .006 | (Click to select) No Yes | |||||||||
| Grammatical reasoning | .051 | 0.159 | 0.062 | .012 | (Click to select) Yes No | |||||||||
| Vocabulary | .108 | −0.124 | 0.032 | .000 | (Click to select) Yes No | |||||||||
| Hand-eye coordination | .043 | 0.041 | 0.018 | .020 | (Click to select) No Yes | |||||||||
| Reaction time | .025 | 11.8 | 6.66 | .080 | (Click to select) No Yes | |||||||||
| Minor antisocial behavior | .025 | −0.639 | 0.36 | .082 | (Click to select) No Yes | |||||||||
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