# the Pearson product-moment correlations between the variabl…

the Pearson product-moment correlations between the variables in the data set you have been using. the results of the calculation in 1 or 2 sentences. the IBM SPSS output and your summary to your instructor.

The Pearson product-moment correlation coefficient, often denoted as r, is a measure of the strength and direction of the linear relationship between two continuous variables. In this assignment, you have been asked to calculate these correlations for the variables in your data set and provide a summary of the results.

The IBM SPSS software can easily calculate Pearson correlations for multiple variables. To access this feature, go to Analyze > Correlate > Bivariate. Select the variables you want to analyze and click on the arrow button to move them into the “Variables” box. Make sure the “Pearson” option is selected under the “Correlation Coefficients” section. You can choose to include cases with missing values by selecting the appropriate option under the “Missing Values” section. Click “OK” to run the analysis.

Once the analysis is complete, you will obtain an output table with the calculated Pearson correlation coefficients. The table will include the variables that were analyzed in the rows and columns. The correlation coefficient between each pair of variables will be displayed at the intersection of their respective rows and columns. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and 1 indicating a perfect positive linear relationship.

To provide a summary of the results to your instructor, you can follow a structured approach. Begin by describing the variables that were included in the analysis and their respective measurement scales. For example, if you have analyzed the correlation between age and income, you can mention that both variables are continuous in nature.

Next, present the correlation coefficients in a clear and organized manner. You can create a table or list format to display the coefficients and their corresponding variable pairs. Include the coefficient values, as well as their respective p-values (which indicate the statistical significance of the correlation).

When summarizing the results, focus on the relationships that are statistically significant. A correlation is considered statistically significant when the p-value is below a pre-determined threshold (typically 0.05 or 0.01). You can highlight these significant correlations in your summary and comment on their magnitudes as well. For instance, if the correlation between age and income was found to be significant, you can state that there is a positive relationship between the two variables, with older individuals tending to have higher incomes.

Additionally, it is important to interpret the magnitude of the correlation coefficients. A coefficient closer to -1 or 1 suggests a stronger linear relationship between the variables, while a coefficient closer to 0 indicates a weaker relationship. However, it is essential to remember that correlation does not imply causation. Therefore, it is crucial to avoid making causal claims based solely on correlation coefficients.

In conclusion, when presenting the results of the Pearson correlations to your instructor, make sure to provide a clear and concise summary of the calculated coefficients, their significance, and the nature of the relationships between the variables. Use appropriate statistical language and terminology to communicate your findings effectively, while also acknowledging the limitations of correlation analysis.