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STA JUNE2018

QUESTION 4 The following table shows the data on the tuition class period (hours) and number of student who failed in the examination. Tuition class period (hours) 10 12 20 22 12 7 6 7 Number of student who failed 19 11 6 5 9 20 23 21 Calculate the Pearson product moment correlation coefficient and explain its meaning. (5 marks) i1) Find the regression equation line using the least squares method. (4 marks) ) Estimate the number of students who failed if the tuition class period is 12 hours. (2 marks) b) The following are the Minitab result on weight (in kg) and systolic blood pressure of 10 randomly selected students. Assume that the weight and blood pressure are both normally distributed and are linearly related. Regression Analysis: Systolic Blood Pressure versus Weight Term Coel SE Coof Constant 48. 61 5. 49 8. 85 0.000 Weight 0. 361 0.133 2.70 0.027 5- 5.83008 R-5q = 47.758 R-Sq (adj) = 41.225 Based on the output above, answer the following questions. 1) Identify the independent and dependent variables. (2 marks) 1) State the coefficient of determination. Comment on the value. (2 marks) ill) State the value of slope. Interpret its meaning. (2 marks)