Anyone help me with solving a-d please? Would like to see workings and explanation. Thanks.

4. (a) A manufacturer of Lithium-Ion batteries has gathered data to investigate the relationship between Porosity (&) and compression pressure (GPa) Observation number Porosity (Ep) Compression pressure (GPa) 1 0.37 0.02 2 0.35 0.04 3 0.31 0.07 4 0.28 0.15 5 0.25 0.21 Table 4.1: Results from an experiment conducted to investigate the relationship between porosity and compression pressure. Use simple linear regression to determine the equation for the line of best fit through the data, letting the compression pressure be the independent variable and Porosity be the dependent. Give your answers to 2sf. [12 marks] (b) Determine the R value for your model and comment on what information this provides about the fit of your line. Give your answer to 2sf. [5 marks] (c) Use the model fitted to your data above to predict the compression pressure of an electrode with a porosity of 0.32. [4 marks](d) A random sample of 150 defective steel pipes were taken, defective items were further classified into various types. The reasons behind failure of the pipe to pass quality checks are summarised in table 1.1: Tensile strength No tensile strength defect defect Transfer yield 37 41 strength defect No transfer yield 16 56 defect Table 1.1: Table of random sample of 150 defective steel pipes categorised according to types of defect What is the probability that a pipe selected at random is defective? What is the probability that a component selected at random has a transfer yield and tensile strength defect? (iii) Determine whether the two types of defects are independent of each other stating your reasons, approximate your answers to 3dp