Please provide comprehensive answers, including tables and solutions. Handwritten responses are acceptable, provided that the handwriting is legible. Alternatively, computer-printed solutions are also permitted. 1. Determine the appropriate correlation coefficient for each pair of variables Correct correlation coefficient to be used a. The correlation between intelligence test scores and academic aptitude test scores among freshman college students. b. The relationship between instructors' teaching efficiency rankings and their faculty ranks. c. The association between teachers' employment status (probationary or regular) and their teaching efficiency ratings (below average or average). d. The correlation between high school students' rankings based on musical ability and their rankings based on academic performance at the School for Arts. e. Investigating the correlation between individuals' sex and their stance (for or against) towards divorce. f. Analyzing the connection between employees' personality types (introvert or extrovert) and their job satisfaction levels (satisfied or not satisfied). g. Exploring the relationship between scholastic aptitude scores and career choices (science-related or not science-related). 2. Based on the provided data, calculate the correlation between the type of officer (x), categorized as either commissioned (1) or non-commissioned (0), and physical fitness (y), categorized as more physically fit (1) or less physically fit (0). X 0 10 5 6 9 3. A group of summer program participants in chemistry were classified into two groups-those with teaching experience of three years or less (0) and those with more than three years of experience (1). they were given a 50-item multiple choice pretest in chemistry. Use the data below to compute for the appropriate Page1correlation coefficient. Let x be the classification based on the number of years of teaching experience and y be the score in the pretest. Interpret the correlation obtained. Student 2 3 4 5 6 7 8 9 10 X 1 y 10 15 BL 13 21 24 19 19 35 40 Student 1 1 12 13 14 15 16 17 18 19 20 X 0 O y 29 25 27 32 23 25 30 37 35 33 4. Nine gymnastics contestants were assessed based on their technique (x) and showmanship (y). Calculate the correlation between x and y using the provided data. Note that the top performer is ranked 9th. Upon deriving the correlation, provide an interpretation of its implications. X 6 2 5 8 3 9 4 8 2 3 9 1 6 5 5. Ten students who aspire to become officers in the student government were ranked based on their leadership abilities (x) and their communication skills (y), with 10 as the highest rank. The data are shown below. Find the correlation between x and y. Interpret the correlation obtained. Student a b C d g h 4 10 2 9 6 5 3 8 X y 8 5 10 3 4 6 2 9 6. Individuals who passed (1) and those who did not pass (0) the Licensure Examination for Teachers (x) were evaluated and ranked according to their teaching efficiency (y), with 11 being the highest rank. Calculate the correlation between these two variables. Subsequently, provide an interpretation of the obtained correlation. 7 0 O 1 0 0 X 8 7 3 11 2 4 10 9 6 5 12 V