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+ ],
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\n"
+ },
+ "metadata": {}
+ }
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "Questionnaire:\n",
+ "\n",
+ "Users of which age group have watched and rated the most number of movies?\n",
+ "\n",
+ "Users belonging to which profession have watched and rated the most movies?\n",
+ "\n",
+ "Most of the users in our dataset who’ve rated the movies are Male. (T/F)\n",
+ "\n",
+ "Most of the movies present in our dataset were released in which decade?\n",
+ "\n",
+ "70s b. 90s c. 50s d.80s\n",
+ "\n",
+ "The movie with maximum no. of ratings is ___.\n",
+ "\n",
+ "Name the top 3 movies similar to ‘Liar Liar’ on the item-based approach.\n",
+ "\n",
+ "On the basis of approach, Collaborative Filtering methods can be classified into ___-based and ___-based.\n",
+ "\n",
+ "Pearson Correlation ranges between ___ to ___ whereas, Cosine Similarity belongs to the interval between ___ to ___.\n",
+ "\n",
+ "Mention the RMSE and MAPE that you got while evaluating the Matrix Factorization model.\n",
+ "\n",
+ "Give the sparse ‘row’ matrix representation for the following dense matrix -\n",
+ "\n",
+ "[[1 0]\n",
+ "[3 7]]"
+ ],
+ "metadata": {
+ "id": "e0DoYU_QnyZF"
+ }
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "Most movie rated age group belong to the 25 to 34 age group"
+ ],
+ "metadata": {
+ "id": "5QhevsiZn8g9"
+ }
+ },
+ {
+ "cell_type": "code",
+ "source": [
+ "data.groupby('Age')['MovieID'].sum().reset_index().sort_values(by='MovieID', ascending=False)"
+ ],
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 269
+ },
+ "id": "aD6F2nGonstB",
+ "outputId": "71905112-2a73-435f-bde1-3ba97128c750"
+ },
+ "execution_count": 72,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/plain": [
+ " Age MovieID\n",
+ "2 25 9954720\n",
+ "1 18 5051546\n",
+ "3 35 4302862\n",
+ "4 45 1754157\n",
+ "5 50 1489455\n",
+ "6 56 740501\n",
+ "0 1 667151"
+ ],
+ "text/html": [
+ "\n",
+ "