Answer the question wi TI 83 calculator

3. (a) Calculate the correlation coefficient (r) between income and age. Interpret their correlation.Perform a statistical test to determine whether there is a significant linear correlation.Attach results from the technology.

(b) Write down the regression equation for predicting the Income (Y) using the Age (X)?Predict the mean income for people of 27 years old.

7 r Income($K) Gender Age - - 84 1 142 149 1 133 L - Ir= 18 125 r 233 1 157 85 1 142 L - 1340 56 Ir - - 1 451 158 60 Im 1 139 28 1 122 L 7r - 97 137 1 14 26 L IL r 211 134 L 18 30 16 Im 123 L - - Ir = 1 124 31 IL - 346 45 L 254 1 129 29 140 JL - L 286 57 6 26 31 Im 132 J L 104 I'm 137 IL - - 172 29 L IL - r 29 38 391 153 L19 122 I I 125 1 136 L 10 1 124 JL 25 1 137 117 125 IL - L 172 30 L 31 25 JL 23 1 22 260 162 L L 172 137 IL 5 121 L 61 124 JL 366 1 142 L L 177 33 L 8 121 L 26 127 22 138 = L Ir = 55 142 L 138 130 L 158 132 146 141 L 123 138 L 1 47 1 127 L 21 26 L 187 155 L L