Abstract: Approaches are provided for an apparatus that includes a memory configured to store a plurality of time-series data records. Each time-series data record has a data value having an associated time and corresponding to one or more characteristics of an industrial machine or system. A query corresponding to the one or more characteristics of the industrial machine or system is received at an input. The query includes a query time range and one or two extended interval ranges abutting the query time range. A processor obtains from the memory a first value of a first record having an associated time within the query time range. The processor obtains from the memory device a second value of a second record having an associated time within the extended interval range. The processor calculates a third value having an associated time within the query time range.