Y1 | X1 | x2 | X3 | 125 | 13 | 18 | 11 | 158 | 39 | 18 | 30 | 207 | 52 | 50 | 53 | 182 | 29 | 43 | 29 | 196 | 50 | 37 | 56 | 175 | 64 | 19 | 49 | 145 | 11 | 27 | 14 | 144 | 22 | 23 | 17 | 160 | 30 | 18 | 22 | 175 | 51 | 11 | 40 | 151 | 27 | 15 | 31 | 161 | 41 | 22 | 39 | 200 | 51 | 52 | 36 | 173 | 37 | 36 | 27 | 175 | 23 | 48 | 20 | 162 | 43 | 15 | 36 | 155 | 38 | 19 | 37 | 230 | 62 | 56 | 50 | 162 | 28 | 30 | 20 | 153 | 30 | 25 | 33 |
The example data can be obtained as a text file and as an SPSS/WIN file from this web page.
If a student desires a more concrete description of this data file, meaning could be given the variables as follows:
Y1 – Final marks of success in graduate school. (Out Of 300)
X1 - A measure of “intellectual ability”.
X2 - A measure of "work ethic."
X3 - A measure of “spatial ability”. ( It is the ability to mentally manipulate 2-dimensional and 3-dimensional figures)
UNIVARIATE ANALYSIS
The first step in the analysis of multivariate data is a table of means and standard deviations. Additional analysis recommendations include histograms of all variables with a view for outliers, or scores that fall outside the range of the majority of scores. In a multiple regression analysis, these score may have a large "influence" on the results of the analysis and are a cause for concern. In the case of the example data, the following means and standard deviations were computed using SPSS/WIN by clicking of "Statistics", "Summarize", and then "Descriptives."
In the case of the example data, it is noted that all X variables correlate significantly with Y1, while none correlate significantly with Y2. In addition, X1 is significantly correlated with X3 and X4, but not with X2. Interpreting the variables using the suggested meanings, success in graduate school could be predicted individually with measures of intellectual ability, spatial