regarding crunching the numbers, I am not sure a Markov process can help you. If you want to have a prediction, then the NOAA will be more able to predict the weather I am sure. If you want to measure the energy fallen onto the gloves - locally, the maximum temperature reached etc. then some real-time temperature recording station is needed. There are some Monks who can dispense good advice on that.

In any event, if you do insist to use the MC to make a prediction, then arrange an input file with your observations like below and use the code I posted at n-dimensional statistical analysis of DNA sequences (or text, or ...) (in the meantime there are some un-publish revisions so if you are interested I can post it again or point you at a repository).

cat input.txt
sun clo clo sun clo clo sun sun sun clo sun clo
[download]

that's like sunny, cloudy etc. use other symbols but the separator must be space (' '), then analyse the input:

analyse_text.pl --input-corpus input.txt --ngram-length 2 --output-sta
+te mystate --separator ' '
[download]

results in this, probabilities of a state given a previous state:

{
  "counts" => { "clo|clo" => 2, "clo|sun" => 3, "sun|clo" => 4, "sun|s
+un" => 2 },
  "cum-twisted-dist" => {
    clo => ["clo", 0.4, "sun", 1],
    sun => ["clo", 0.666666666666667, "sun", 1],
  },
  "dist" => {
    "clo|clo" => 0.181818181818182,
    "clo|sun" => 0.272727272727273,
    "sun|clo" => 0.363636363636364,
    "sun|sun" => 0.181818181818182,
  },
  "N" => 2,
}
[download]

and do a 30-time-unit prediction:

predict_text.pl --input-state mystate --separator ' '  --num-iteration
+s 30 --seed 'clo'
[download]

results in this:

/home/andreas/usr/bin/predict_text.pl : starting with seed 'clo' ...
clo sun clo clo sun clo sun clo clo clo clo sun
sun sun clo clo sun clo sun clo sun sun clo sun
sun sun clo clo sun clo sun sun sun clo sun clo
sun clo clo sun clo clo clo sun clo clo sun sun
sun clo clo sun clo clo sun clo sun clo clo clo
clo sun sun clo sun sun clo sun clo sun sun clo
sun sun clo sun sun clo sun clo sun sun clo sun
clo sun sun sun sun clo sun clo clo sun clo clo
clo sun sun clo sun
[download]

But what's the meaning of this? good question!