Please solve this microeconomic question with precision

In an experiment to compare the effects of vaccines of differing strengths intended to give protection to children against a particular condition, twelve batches of vaccine were texted in twelve equal-sized groups of children. The percentages of children who subsequently remained healthy after exposure to the condition, named the PRA values. were recorded. The strength of each batch of vaccine was measured by an independent test and recorded as the SV value.The recorded values are: Batch: 1 2 3 4 5 6 7 9 10 11 12 PRH ()): 68 23 35 42 41 46 48 52 50 54 53 SV (ri: 09 16 23 27 30 13 37 38 41 42 43 45 [x - 38.4; ) y-528; ) x2 - 137.16; ) ," - 25, 128 ; ) xy -1, 778.1 Draw a rough plot of the data to show die relationship between the SV and PRH values. 121 It is evident that one of the observations is "out of line" and so may have an undue effect on any regression analysis. You are asked to investigate this as follows. (ii) (a) Calculate the total. regression. and error sums of squares for a least- squares linear regression analysis for predicting PRH values from SV values using all 12 data observations. (b) Determine the coefficient of determination R2. (c) Delennine the equation of die fitted regression line. (d) Examine whether or not there is evidence, at the 5% level of testing, to enable one to conclude that the slope of the underlying regression equation is non-zero. [11] The details of the regression analysis after removing the data for butch 2 are given in the box below. Regression cquation: y = 3.76 1 114 x Coel Stdev t-ratio p-va! Intercept 3.757 3.092 1.22 U.255 11.377 0.8838 12.9 0.000 Analysis of Variance Source MS F Regression 1486.9 1486.9 165.69 0.000 Error 80.8 8.98 Total 10 1567.6 (ii) (a) Comment on the main differences in the results of the regression analysis resulting from removing the data for batch 2. ( b) Calculate a 95% confidence interval for the expected (mean) PRH value for a batch of vaccine with SV value 3.5. 191 [Total 22]