A multiple regression model is to be constructed to predict the heart rate in beats per minute (bpm) of a person based upon their age, weight and height. Data has been collected on 30 randomly selected individuals: show data a) Find the multiple regression equation using all three explanatory variables. Assume that X1 is age, X2 is weight and X3 is height. Give your answers to 3 decimal places. 9 = age + weight + height b) At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis is rejected. c) The explanatory variable that is most correlated with heart rate is: age weight height d) The explanatory variable that is least correlated with heart rate is: age weight height e) The value of R2 for this model, to 3 decimal places, is equal to f) The value of s for this model, to 3 decimal places, is equal to g) Construct a new multiple regression model by removing the variable height. Give your answers to 3 decimal places. The new regression model equation is: age + weight h) In the new model compared to the previous one, the value of R2 (to 3 decimal places) is: increased decreased unchanged i) In the new model compared to the previous one, the value of s (to 3 decimal places) is: increased decreased unchanged Heart Rate (bpm) Age (yrs) Weight (lb) Height (in) 83 49 137 69 81 48 232 62 121 58 191 60 67 57 116 69 73 50 188 72 61 24 142 61 98 45 157 64 63 25 198 59 68 36 182 64 83 54 165 70 78 40 192 73 114 34 262 60 96 44 137 58 68 38 223 67 86 25 228 69 71 39 213 74 105 35 219 67 82 22 239 59 62 27 106 62 109 52 203 58 104 49 217 70 60 22 255 67 122 56 189 75 94 40 233 68 96 44 227 71 82 21 213 57 69 40 139 62 114 33 253 67 57 29 159 69 61 21 139 69