please please answer these thank you so much!

The next two questions involve hand calculation of a correlation. You will use the following made-up data set that includes two variables: X and Y X Y nch-1&0 5 l 4 6 1. Using the made-up data set above, compute the correlation between X and Y by hand. Use 3 decimal places {more technically, round to the thousandths). Be sure to show all of your work to receive full credit. {4 points 3 points for the correct answer and 1 point for showing all of your work} Formula: r = NEXT2X2? "" 1/th X2 (2 Wm: 1:1 (Z Ff] = NZXYZXZY "" [NZ X2 (ZX}2][NZY2 4an] 2. The critical value ofr associated with the answer to question 1 is .950 (a. was set at .05, and there were 2 degrees of freedom [NE ) 4-2 = 2]). Using this knowledge and your answer from question 1, please interpret the correlation between X and Y. Specically, you should report the direction of the correlation and whether the correlation is statistically significant from zero or not. {1 point for the correct answer) 3. Using \"Problem Set 10 Data Set\" and following directions given in Lecture 13, compute the correlation matrix between Tpopular72, Tshy72, and SchlLikeT-'Z. For lll credit, he sure to include your output. {2 points) 4. Using the output you generated for number 3, report and interpret the correlation between shyness (TshyTl) and school lilting (SchlLikeTl) (1 point - .5 for reporting, .5 for correct interpretation} 5. Using the output you generated for number 3, report and interpret the correlation between shyness (TshyTl) and popularity {Tpopular'} (1 point - .5 for reporting, .5 for correct interpretation}| 6. Using the output you generated for number 3, report and interpret the correlation between popularity (TpopularTZ) and school lilting (SchlLikeTZ) (1 point - .5 for reporting, .5 for correct interpretation}