Basically I am trying to create a new class as long as the continue variable equals \"Y\". The problem I am having is
DigitalMain.java:18: not a statement
    D         
        The issue is most likely the name of your array. The word class is a keyword in the Java language and hence cannot be used to name variables. You can also use ArrayLists like so:
List<DigitalPhoto> photoes = new ArrayList<DigitalPhoto>(); 
do
    {
    DigitalPhoto photo = new DigitalPhoto();
    heightString = JOptionPane.showInputDialog('Please enter height');
    photo .setHeight = double.parseDouble(heightString);
    heightString = JOptionPane.showInputDialog('Please enter width');
    photo .setWidth = double.parseDouble(widthtString);
    photos.add(photo)
    continueQuestion = JOptionPane.showInputDialog('Height: ' + class[i].getHeight + '\n\lWidth: ' + class[i].getWidth + '\n\l Resolution: ' + class[i].getResolution + '\n\lCompression Ratio: ' + class[i].getCompression + '\n\lRequired Storage: ' + class[i].calcStorage() + '\n\lPrice of Scanned Photo: ' + class[i].getCost() + 'Please enter "Y" to try again or anything but "Y" to accept values.')
    } while {cont.equals("Y")};
                                                                        class is a keyword - you can't use it as a variable name.
Additionally, you have an odd construct here:
for(int i=0; cont.equals("Y") ; i++)
{
    ...
} while {continue.equalsIgnoreCase(Y)};
There's no such thing as a "for/while" loop - there's a normal for loop, a while loop, and  a do/while loop.
So you've actually got a for loop followed by an invalid while loop here. It has no condition.
You need to work out which you want. (Possibly a for loop containing a do/while loop, although I'd extract the inner loop into a separate method. In general your code would greatly benefit from being broken out into multiple methods.
You do something similar later, although this time with do/while:
do
{
    ...
} while {bitps > 0 && bitps < 99999999};
The condition of a while loop goes in round brackets, not braces:
do
{
    ...
} while (bitps > 0 && bitps < 99999999);
Basically, you should read up on the syntax options available for loops.
there is some rules for naming of variables Variables
 You cannot use any of the following(in list of keywords) as identifiers in your
 programs.The keywords const and goto are reserved, even though they are not 
 currently used. true, false, and null might seem like keywords, but they 
 are actually literals;      you cannot use them as identifiers in your programs.
List of keywords
for(int i=0; cont.equals("Y") ; i++)
 {
   class[i] = new DigitalPhoto();
   heightString = JOptionPane.showInputDialog('Please enter height');
   class[i].setHeight = double.parseDouble(heightString);
   heightString = JOptionPane.showInputDialog('Please enter width');
   class[i].setWidth = double.parseDouble(widthtString);
   continueQuestion = JOptionPane.showInputDialog('Height: ' + 
   class[i].getHeight + '\n\lWidth: ' + class[i].getWidth + '\n\l Resolution: ' +
   class[i].getResolution + '\n\lCompression Ratio: ' +  class[i].getCompression +
  '\n\lRequired Storage: ' + class[i].calcStorage() + '\n\lPrice of Scanned Photo: ' + 
    class[i].getCost() + 'Please enter "Y" to 
   try again or anything but "Y" to accept values.')
} while {continue.equalsIgnoreCase(Y)};
here i dont know any for-while loop..just check some basics..
Loops in java
What kind of loop you are using.
for(...)
{
...
}while();
There is no for-while loop.
And also your for loop condition never going to become false. Set a proper condition to your for loop. 
Also there is syntax error in your for-while loop. ie. last statement
continueQuestion = JOptionPane.showInputDialog('Height: ' + class[i].getHeight + '\n\lWidth: ' + class[i].getWidth + '\n\l Resolution: ' + class[i].getResolution + '\n\lCompression Ratio: ' + class[i].getCompression + '\n\lRequired Storage: ' + class[i].calcStorage() + '\n\lPrice of Scanned Photo: ' + class[i].getCost() + 'Please enter "Y" to try again or anything but "Y" to accept values.') // you miss the ;