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Statistical Analysis: Customer Satisfaction Study

Research Question: Does customer support response time predict customer satisfaction scores?
Sample Size: N = 450 survey responses
Software: SPSS v29

Methods:

A linear regression analysis was conducted to examine the relationship between response time (independent variable, measured in hours) and satisfaction score (dependent variable, 1-10 scale). Assumptions tested included linearity, independence of errors (Durbin-Watson = 1.94), homoscedasticity, and normality of residuals.

Results:

Response time significantly predicted satisfaction scores, F(1, 448) = 124.67, p < .001, R² = .218. Response time accounted for 21.8% of the variance in satisfaction. The regression coefficient was negative (B = -0.42, SE = 0.04, β = -0.47, p < .001), indicating that each additional hour of response time decreased satisfaction by 0.42 points.

Table 1. Regression Results

VariableBSEβp-value
(Intercept)8.640.18-<.001
Response Time (hrs)-0.420.04-0.47<.001

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