To remove numbers from the call log that you don’t want anyone seeing, then open your Call Log.
This will normally be found on your Apps list or you can also go to your Dialer and find Logs or Call Logs.
Then press and hold on the contact you want to remove. When the Menu appears, press Delete.
In nexus 4, open the call log and click the number you want to delete(click the middle of the log), the detail of the call will be displayed. Then click the menu on the upper right, then select delete.