# Project #71742 - coorelations

Correlations
You will analyze the following variables in the grades.sav data set:
•    gender.
•    gpa.
•    total.
•    final.
Step 1: Write Section 1 of the DAA.
Provide a context of the grades.sav data set. Include a definition of the specified variables and corresponding scales of measurement. Indicate the type of correlation for each X, Y pair (e.g., Pearson's r, Spearman's r, point-biserial r, et cetera). Specify the sample size of the data set.
Step 2: Write Section 2 of the DAA.
Test the assumptions of correlation for gpa and final. Paste the SPSS histogram output for each variable and discuss your visual interpretations. Paste SPSS descriptives output showing skewness and kurtosis values and interpret them. Paste SPSS scatter plot output with gpa set to the horizontal axis and final set to the vertical axis. Conduct a visual inspection of the scatter plot to analyze other assumptions of correlation. Summarize whether or not the assumptions of correlation are met.
Step 3: Write Section 3 of the DAA
Specify a research question related to gpa and final. Articulate the null hypothesis and alternative hypothesis. Specify your alpha level.
Step 4: Write Section 4 of the DAA
Paste the SPSS output of the intercorrelation matrix for all specified variables.
•    First, report the lowest magnitude correlation in the intercorrelation matrix, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Specify whether or not to reject the null hypothesis for this correlation.
•    Second, report the highest magnitude correlation in the intercorrelation matrix, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Specify whether or not to reject the null hypothesis for this correlation.
•    Third, report the correlation between gpa and final, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Analyze the correlation in terms of the null hypothesis.
Step 5: Write Section 5 of the DAA
Discuss the implications of this correlation as it relates to the research question. Conclude with an analysis of the strengths and limitations of correlational analysis.

Descriptive Statistics
N    Minimum    Maximum    Mean    Std. Deviation    Variance    Skewness    Kurtosis
Statistic    Statistic    Statistic    Statistic    Statistic    Statistic    Statistic    Std. Error    Statistic    Std. Error
gender    105    1    2    1.39    .490    .240    .456    .236    -1.828    .467
gpa    105    1.14    4.00    2.7789    .76380    .583    -.052    .236    -.811    .467
total    105    51    124    100.57    15.299    234.074    -.837    .236    .943    .467
final    105    40    75    61.48    7.943    63.098    -.335    .236    -.332    .467
Valid N (listwise)    105

Correlations
gender    gpa    total    final
gender    Pearson Correlation    1    -.194*    -.120    -.140
Sig. (2-tailed)        .048    .224    .156
N    105    105    105    105
gpa    Pearson Correlation    -.194*    1    .432**    .498**
Sig. (2-tailed)    .048        .000    .000
N    105    105    105    105
total    Pearson Correlation    -.120    .432**    1    .883**
Sig. (2-tailed)    .224    .000        .000
N    105    105    105    105
final    Pearson Correlation    -.140    .498**    .883**    1
Sig. (2-tailed)    .156    .000    .000
N    105    105    105    105
*. Correlation is significant at the 0.05 level (2-tailed).
**. Correlation is significant at the 0.01 level (2-tailed).

 Subject Mathematics Due By (Pacific Time) 05/23/2015 08:00 am
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