Bossybritches22
it is a common myth but it is untrue. keeping your house warm all day will make it more comfortable, but it will use more energy than turning it off when unoccupied, and letting the timer start it up again so it will be warm by the time you get back.
All building materials (walls, ceilings, windows) have a rate at which they will lose heat. Wikipedia says "The U-value (or U-factor), more correctly called the overall heat transfer coefficient, describes how well a building element conducts heat. It measures the rate of heat transfer through a building element over a given area, under standardized conditions. The usual standard is at a temperature gradient of 24 °C, at 50% humidity with no wind (a smaller U-value is better)"
The "U Value" is the number of watts, per square metre, lost.
The amount of heat you lose (slightly simplified) is
U value x the area in square metres x the temperature difference
So if you double the number of square metres (e.g. the wall is twice as big) you lose twice as much heat.
If you double the temperature difference (e.g. instead of the inside being at 15 degrees and the outisde being at 10 degrees, giving a temperature difference of 5 degrees, you decide to heat the inside to 20 degrees, giving a temperature difference of 10 degrees), you lose twice as much heat. If the temperature difference is nil (e.g. the outside temperature and the inside temperature are both 10 degrees) you lose no heat.
The amount of energy you use is the heat loss x time.
So if you are heating your house to the higher temperature for ten hours, you will use twice as many kWh as if you heat it to the lower temperature for ten hours. If is the same temperature as outside you will use no energy.
However it is true that if you have been away on holiday, and the house has cooled to 15 degrees, it will take a certain amount of time to come back to 20 degrees, and the house will be less comfortable until the entire fabric has reached this temperature.
Houses with low U values (e.g. with good insulation of walls and loft) will lose less heat and will cool more slowly, but that it a different question