Hi, I hope that this is the correct category for this post. I am new here, so please bear with me.

Anyways here is my question

I am doing a math project where I need to use a function to model data.

The data is this:

X: Y:

0 197

4 203

8

12

16 198

20 204

24 212

28 216

32 218

36 224

40 223

44 225

48 236

Note there is not data for x=8,12. Anyways, I need to show the calculations for the LINEAR line of best fit. Using programs like excel, I have found the equation of this line to be y=0.7551x+194.14

But when I try to calculate it by hand, the closest I can come to is y=0.75x+200.

I do this by finding slope from point (32,218) and (24,212), which is .75 and then i sub that in to find the y-intercept. I don't really now how I am supposed to end up with 0.7551x+194.14 though. But I need to show that calculation to get full marks. Does anyone know how to do this and if they do, could they write it out for me.

Thanks so much