Preparation: verify FCR by recalculating FirstContactResolved/EligibleTickets; exclude weeks with zero eligible tickets from the pair rather than treating FCR as zero. Keep 274 complete agent-week pairs and report 14 missing pairs. Add scatterplots with TrainingHours on x, FCR on y, color by launch period or team, and label the 6-hour row. Because observations repeat within 24 agents, the overall Pearson coefficient is descriptive and its ordinary independent-row significance test is inappropriate.
Excel: overall =CORREL(FILTER(AgentWeek[TrainingHours],valid),FILTER(AgentWeek[FCR],valid)) reproduces +0.46 in Microsoft 365. Build an Agent summary PivotTable with average TrainingHours and weighted FCR (sum resolved / sum eligible), then correlate the 24 agent summaries; supplied result +0.18 is substantially weaker. Add AgentMeanTraining and AgentMeanFCR with AVERAGEIFS, then correlate row-level deviations as an exploratory within-agent association. Repeat excluding the labeled 6-hour point, by launch/non-launch period, by tenure band, and with week fixed comparisons where sample permits. Do not compare simple means of ratios when ticket denominators differ.
Safe wording: “Across 274 observed agent-weeks, training hours and FCR had a moderate positive raw association (Pearson r=0.46). The association was weaker across agent-level averages (r=0.18), and repeated observations, launch timing, tenure, workload, ticket mix, selection into training, and one high-hours point limit interpretation. These data do not show that assigning additional training raises FCR.” Reverse direction is plausible if lower-performing weeks trigger training, while common launch support may raise both. Next causal evidence: preregister outcome/denominator and randomize eligible agents or stagger assignment with an analyzed cluster/repeated-measure design, checking contamination and workload balance.