Dear Tutor,

I have task below, please assist me to answer with detail step by step, not only short answers I need every single step answer very detailed also explaning by curve or graph and formula how to get it ( note : please make clear writting and no scribbles cause i will save for my file document for study)

Case 1 Statistics OR Statistics OR Statistics OR 86 80 86 81 83 81 75 81 71 76 75 70 69 75 65 72 71 73 75 81 84 85 76 72 90 92 71 72 84 80 94 95 62 65 97 98 83 80 90 93 The final test & exam averages for 20 randomly selected students taking a course in engineering statistics & a course in operation research follow. a) Estimate the correlation coefficient ! b) Test the hypothesis (using alpha = 5%) HO: there's correlation between final test of engineering statistics & operation research H1: there's correlation between final test of engineering statistics & operation researchCase 2 Systolic Systolic Subject Weight BP Subject Weight BP 165 130 14 172 153 167 133 W N 15 159 128 180 150 16 168 132 155 128 17 174 149 212 151 18 183 158 175 146 19 215 150 190 150 20 195 163 210 140 21 180 156 200 148 22 143 124 10 149 125 23 240 170 11 158 133 24 235 165 12 169 135 25 192 160 13 170 150 26 187 159 The weight & sistolic blood pressure (BP) of 26 randomly selected males in the age group 25-30 are shown in the following table. a) Estimate regression model b) Test for significance of regression using alpha 5% c) Estimate correlation coefficientCase 3 What is the purpose of regression analysis and 2 example question with solution 8: explanation? (typing by MS WORD) Case 4 Correlation (typing by MS WORD) a) What is the purpose of doing correlation analysis? b) Correlation values range from -1 to 1? What does it mean if the correlation value is close to -1? What does it mean if the correlation value is close to 1? d) how is the scatter diagram image for correlation tests whose value is close to -1 &1? e) 2 example question with solution 8: lexplanation