Please kindly help in solving this

SECOND SEMESTER EXAMINATION COURSE CODE:MTH 212 COURSE TITLE: STATISTICAL METHODS TIME : 2 HOURS INTRUCTIONS : ANSWER FOUR (4) QUESTIONS 1a) A healthcare business researcher decided to develop a regression model in an attempt to predict the number of full time employees of a hospital by the number of beds. She surveyed 12 hospitals and obtained the following data. Number of 23 29 29 35 42 46 50 54 64 66 76 78 beds Full time 69 95 102 118 126 125 138 178 156 184 176 225 employees A) Sketch a scatter diagram for the data above. B) Determine the equation of the regression line. C) Use the regression model to predict the full time employees if the number of beds is 100 2a) Briefly state the steps in computing a CHI-SQUARE test of independence in contingency table 2b) A random poll of 309 lunch customers is taken, resulting in the following contingency table of observed values. Use of = 0.01 to determine whether the two variables are independent. Preferred Beverage AGE RANGE COFFEE/TEA SOFT DRINK OTHER(MILK) E.T.C 21-34 26 95 18 35-55 41 40 20 > 55 24 13 32 Is the type of beverage ordered with lunch at a restaurant independent of the age of the consumer? 3. ELECTRONIC WORLD SALES VOLUME DATA STORE NUMBER OF SALES VOLUME HOUSEHOLD(x) (Y) 1 161 157.27 2 99 93.28 135 136.81 4 120 123.79 5 164 153.51 6 221 241.74 179 201.54 204 206.71 B = nExy _ ExEy n EXR - ( ExC ) 2