Linq to XML selecting a node bases on a attribute value

Question

I have an xml file that returns a set of elements that are unique by a attribute value. This presents a problem, as I can not select a node by its name:

<doc>
    <float name="score">1.2873721</float>
    <arr name="2_category">
        <long>3021</long>
    </arr>
    <arr name="ATR_FamilyName">
        <str>Some Cookbook </str>
    </arr>
    <arr name="ATR_IsFamily">
        <str>0</str>
    </arr>
    <arr name="ATR_SellPrice">
        <str>49.95</str>
    </arr>
    <arr name="ATR_VendorId">
        <str>ABC</str>
    </arr>
    <arr name="ATR_VendorName">
        <str>WROX</str>
    </arr>      
</doc> 

I am using linq to populate a "Product" class. I am able to select the elements by position, however this becomes a problem if the node doesn't exist. Is there a way to select a node based on the value of its attribute? In the below example, can I get the arr node if the @name attribute = "ATR_FamilyName"? In xpath it would be:

doc/arr[@name = 'ATR_FamilyName']/str

here is my linq to xml query:

var query = from rt in results
    where (String)rt.Descendants().ElementAt(5).Element("str").Value == "0"
    select new Product.Product
        {
            FamilyName = (String)rt.Descendants().ElementAt(3).Value
            // doc/arr[@name = 'ATR_FamilyName']/str - select Family Name is arr/@name 'ATR_FamilyName'                              
            MorePropertiestoset....                              
        };

Answer 1

Like AS-CII's answer, but without using a query expression (except for the outer one), and with the cast for XAttribute, and selecting the str element value inside an anonymous type:

select new Product.Product
{
    FamilyName = rt.Descendants("arr")
                   .Where(x => (string) x.Attribute("name") == "ATR_FamilyName")
                   .Select(x => (string) x.Element("str"))
                   .FirstOrDefault(),
    MorePropertiesToSet....                              
}; 

Note that the use of a cast for the result of the call to Attribute("name") means that if there are any elements which don't have the attribute, the cast will result in a null reference (which isn't equal to the string literal). If you use the Value property, you'll get an exception. Sometimes an exception may be better - if that indicates that the data is fundamentally broken and you want to find out about it rather than just not match the value.

(The same is true for the cast of the XElement to string.)