In a recruitment program arranged by an IT company, each trainee watches a self-study video before...

 

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In a recruitment program arranged by an IT company, each trainee watches a self-study video before taking a screening test. The research team is investigating the relationship between the number of minutes the trainee spent on the self-study video and the score obtained by the trainee in the screening test. The following is 8 scts of data obtained in the study: x: number of minutes 162 175 181 150 155 154 169 172 to finish the video y: score in the test 82 76 74 85 88 79 72 73 (a) Calculate the correlation coefficient of the above data. (1 mark) (b) Comment on the relationship between the time the trainee spent on the self-study video and the score obtained in the test by referring to your answer in part (a). (2 marks) (c) Find the values of a and b in the regression line y = a + bx of the above data. (2 marks) (d) Interpret the value of b in the regression line in part (c). (1 mark) (e) Use the regression line in part (c) to estimate the score of a trainee who spends 160 minutes on the self-study video. (2 marks) (f) Comment on the reliability of the estimation in part (e) with reason. (2 marks) (Total: 10 marks) In a recruitment program arranged by an IT company, each trainee watches a self-study video before taking a screening test. The research team is investigating the relationship between the number of minutes the trainee spent on the self-study video and the score obtained by the trainee in the screening test. The following is 8 scts of data obtained in the study: x: number of minutes 162 175 181 150 155 154 169 172 to finish the video y: score in the test 82 76 74 85 88 79 72 73 (a) Calculate the correlation coefficient of the above data. (1 mark) (b) Comment on the relationship between the time the trainee spent on the self-study video and the score obtained in the test by referring to your answer in part (a). (2 marks) (c) Find the values of a and b in the regression line y = a + bx of the above data. (2 marks) (d) Interpret the value of b in the regression line in part (c). (1 mark) (e) Use the regression line in part (c) to estimate the score of a trainee who spends 160 minutes on the self-study video. (2 marks) (f) Comment on the reliability of the estimation in part (e) with reason. (2 marks) (Total: 10 marks)

Answer rating: 100% (QA)

To solve this problem well first calculate the correlation coefficient then find the regression line and finally use it to estimate the score for a tr... View the full answer