Question: a ) From what we saw in class h ) you should be able to load the daily data and match it to a day

a)From what we saw in class h)you should be able to load the daily data
and match it to a day since the data began.You can also make an array of all the days covered by the data (t_all)and an array with the measurement for each data you have data (y_all),but there will be days without data. Deciding what to do with the missing data has a big impact on how we interperate our data, particularly if we want to use a Fourier transforms. In class, we tried filling in the missing data with zero, with the overall average, and with interpolated values. None of these worked particularly well, though interpolation did a bit better. One thing you could try is doing some smoothing of the data first, then interpolating to fill in the missing values. This might help get rid of some of the daily noise. Give the a try. Try smoothing somehow, maybe averaging over 7days or 30days?,then interpolate on the smoothed data to fill in the missing data. Then try a Fourier transfor and see what the poer spectrum looks like. Is it any cleaner?b)Once you have a decent looking data series, try filtering out low frequencies (less than a couple of years?)and do an inverse Fourier transform, and see what it looks like. Is the behavior at the end any better?c)Another approach is to try to smooth out the annual (and daily)variations,rather than filter them out. Since we're assuming our data varied on a year timescale, try smoothing on a timescale of a year or more. Maybe a 365-day moving average? (Remember not to include the missing data in your smoothing.)Find a good smoothing and plot your smoothed data. How does it compare to the filtered data from part b)?You can also reduce the number of data points, maybe take monthly or yearly averages rather than trying to fill in data at every point. d)Last,we want to use the long-term trend to make some predictions for the future. Fourier transformes of interpolation are probably going to be a bad way to do this, because they tend to vary a lot at the ends, or depend more heavily on the data near the end. That's bad if you're trying to go beyond the end. Instead, you'll probably need to do some sort of fitting. You might try fitting a polynomial or exponential plus polynomial, or some other function. Try fitting to the raw data, and some good smoothed or filtered data. If you're fitting data you've filtered, you might even want to cut off the ends. Pick what fit you think is "best". Then use your fit to make some predictions. What will the CO2concentration be in 2025?in 2030?2050?2100?How good do you think your predictions are? Can you quantify that (maybe not)?Do your predictions start behaving oddly at some point)(e.g.,do they start to decrease?
what is wrong with my code?
error: KeyError Traceback (most recent call last) Cell In[5], line 1410 print(data.head())12 # Step 2: Convert Date Columns and Calculate Days Since Start 13 # Convert 'yr', 'mon', and 'day' columns into a single date column --->14 start_date = pd.to_datetime(data[['yr', 'mon', 'day']].iloc[0])15 data['date']= pd.to_datetime(data[['yr', 'mon', 'day']])16 data['days_since_start']=(data['date']- start_date).dt.days File /opt/anaconda3/lib/python3.12/site-packages/pandas/core/frame.py:4108, in DataFrame.__getitem__(self, key)4106 if is_iterator(key): 4107 key = list(key)->4108 indexer = self.columns._get_indexer_strict(key, "columns")[1]4110 # take() does not accept boolean indexers 4111 if getattr(indexer, "dtype", None)== bool: File /opt/anaconda3/lib/python3.12/site-packages/pandas/core/indexes/base.py:6200, in Index._get_indexer_strict(self, key, axis_name)6197 else: 6198 keyarr, indexer, new_indexer = self._reindex_non_unique(keyarr)->6200 self._raise_if_missing(keyarr, indexer, axis_name)6202 keyarr = self.take(indexer)6203 if isinstance(key, Index): 6204 # GH 42790- Preserve name from an Index File /opt/anaconda3/lib/python3.12/site-packages/pandas/core/indexes/base.py:6249, in Index._raise_if_missing(self, key, indexer, axis_name)6247 if nmissing: 6248 if nmissing == len(indexer): ->6249 raise KeyError(f"None of [{key}] are in the [{axis_name}]")6251 not_found = list(ensure_index(key)[missing_mask.nonzero()[0]].unique())6252 raise KeyError(f"{not_found} not in index") KeyError: "None of [Index(['yr', 'mon', 'day'], dtype='object')] are in the [columns]"
a ) From what we saw in class h ) you should be

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