For problems #1-6, use sciencesav dataset. #1. (5 points) Conduct an appropriate correlation analysis to evaluate the relation between students' math scores (MATH variable) and their interest in the subject (INTEREST variable). Provide the full APA-style report of the results. Include all relevant outputs that you used for writing your report. #2. (5 points) Conduct an appropriate t-test to relate student's scores on science (SCIENCE variable) and math (MATH variable) tests. Provide the full APA-style report. Include all relevant outputs that you used for writing your report. #3. (10 points) Conduct an appropriate analysis to predict students' science scores (SCIENCE variable) from their memory scores (MEMORY variable). Calculate predicted science scores for students with memory scores of 17 and 55. Provide the full APA-style report. Include all relevant outputs that you used for writing your report. #4. (10 points) Conduct an appropriate statistical analysis to evaluate differences in science scores (SCIENCE variable) among students with different levels of interest (INTEREST variable). Provide the full APA-style report. Include all relevant outputs that you used for writing your report