(1) According to the meaning of the question, water and kerosene have the same quality, but different substances. It can be concluded from the table that under the same conditions, the temperature changes of different substances are different. According to the idea of controlling variables, the physical problem explored in this topic is: when the quality of water and edible oil is the same and the heat absorbed is the same, which substance heats up quickly?

(2) According to the data in the table, the tracking points are then drawn as follows:

(3) Through the analysis of the image, it can be concluded that the temperature of edible oil will rise rapidly after water and edible oil with the same quality absorb the same heat, indicating that the temperature of edible oil will rise faster when water and edible oil with the same quality absorb the same heat.

(4) Because the specific heat capacity of sand and water is different, the specific heat capacity of sand is smaller than that of water, so the temperature of water changes slowly under the same conditions.

So the answer is: (1) The same mass of water and edible oil absorb the same heat, which substance heats up quickly; (2) As shown in the above figure; (3) Water with the same quality and edible oil absorb the same heat, so the temperature of edible oil rises faster; (4) The specific heat capacity of sand is less than that of water, so the temperature of water changes slowly under the same conditions.