GIVE TYPED WRITING SO I CAN UNDERSTAND CLEARLY.

IF YOU CANNOT TYPE,PLEASE PROVIDE NEAT AND CLEAR HANDWRITING.DO NOT GIVE BLUR AND CLUMSY WRITING.IT IS HARD FOR ME TO UNDERSTAND.

Kindly give accurate and correct answers.Kindly give step by step working.Do not skip steps. Mention and be very clear about the formula and conversion

.Then,explain to support and prove the working and answers.I do not really understand.I hope you can help me to understand.Explain how you get the answers and about each working.

STA DEC2019

QUESTION 4 a) Previous research reported that a fasting blood glucose level is dependent to body mass index (BMI). A new study was conducted by Hospital Everjaya to determine the relationship between body mass index and fasting blood glucose levels of diabetic patients in Hospital Everjaya. The data collected is shown as below. Body mass index Fasting blood glucose (kg/m?) levels (mg/dL) 26 130 30 120 35 120 22 90 38 130 19 75 21 83 32 100 1) Construct a scatter diagram for the above data. (3 marks) Calculate the Pearson product moment correlation coefficient, Interpret the value obtained. (5 marks) b) Research has shown that caffeine is quite effective in managing and reducing one's anxiety symptoms. Based on that, a researcher plans to investigate whether caffeine consumption influence students' anxiety scores. The MINITAB output on caffeine consumption (in milligram) and anxiety scores is shown below. Regression Analysis: Anxiety versus Caffeine R-sq R-aq(adj) R-sq [pred) 0. 841510 92.448 91.36% 88 . 508 Term Coof BE Conf T-Value P-Value Constant 18.34 1.13 16.24 0.000 Caffeine -0. 0562 0.0061 -9.25 0.000 i) Identify the independent and dependent variables. (2 marks) ") Write the estimated regression equation. (1 mark) lil) Interpret the slope from the equation in (ii). (1 mark)iv) State the coefficient of determination. Explain the value obtained. (2 marks) v) Predict the anxiety scores when the caffeine consumption is 0.2 grams. (3 marks)QUESTION 8 Suppose that Y is a continuous random variable that represents the customers' waiting time (in minutes) after ordering bubble milk tea at ChatTea Cafe. The probability density function is given as follows: f(y)= (0.5+y) for 0sys 3 6 O for elsewhere a) Compute the probability of a customer that has to wait for at most 2 minutes. (3 marks) b) Calculate the expected waiting time of customers to receive their order. (4 marks) c) Calculate the variance waiting time of customers to receive their order. (5 marks) d) Compute V(2Y + 3) (2 marks)