Help with interpolating data at 5-minute resolution down to 1-minute resolution

Hey everyone, looking for some help in entering a formula which will allow me to expand my data set by interpolating between sets of x,y values. My data set is in 5-minute resolution and I would like to interpolate so that I can output a new set of x,y values in 1-minute resolution. Here is my example of what I have and what I would like my end result to be, and also I have attached a sample of my data set in the below excel file:

Thanks in advance for any tips anyone can offer

Original data set
Date Time Temperature oC
6/12/13 13:30 18.28
6/12/13 13:35 17.9
6/12/13 13:40 17.9

Desired data set
Date Time Temperature oC
6/12/13 13:30 y
6/12/13 13:31 y
6/12/13 13:32 y
6/12/13 13:33 y
6/12/13 13:34 y
6/12/13 13:35 y
6/12/13 13:36 y
6/12/13 13:37 y
6/12/13 13:38 y
6/12/13 13:39 y
6/12/13 13:40 y

datetime_temp.xlsx

I took the linear interpolation formula and just replaced all the real data values with INDEX(MATCH()) terms.

Well, I put the MATCH in a helper column to make it easier to look at but you could just as easily nest it if you wanted (the way that runs the time values have to be in ascending order). I also just made x1 - x0 = 5 minutes rather than a lookup; if you had more variable data intervals you could just make those INDEX functions on the time array as well.

This might also throw some errors at the end, I didn't check that.

Thank you very much that worked out perfectly. It didn't seem to throw any errors at the end either. Solved!