Hello please I need the solution using R

(c) Plot the residuals from the tted model chosen in (b) to check the model assump- tion, including the normality assumption. ((1) Conduct statistical inference for the model in (b) (R exercise.) Satellite applications motivated the development of a silver-zinc battery. The following table contains failure data collected to characterize the performance of the battery during its life cycle. (Data attached.) 21 22 Z. z. 25 Y Depth of End of Charge Discharge discharge charge rate rate (\"it of rated Temperature voltage Cycles to (amps) (amps) amperehours) PC} (volts) failure .375 3.13 60.0 40 2.00 '101 1.000 3.13 16.3 30 1.99 141 1.030 3.13 60.0 20 2.00 . 96 1 .0130 3.13 60.0 , 20 1.93 125 1.625 3.13 43.2 10 2.01 43 1.625 3.13 60.0 2.0 2.00 16 1,625 3.13 60.0 20 2.02 133 .375 5.00 76.3 10 2.01 10 1.000 5.00 43.2 10 1.99 3 1.000 5.00 43.2 30 2.01 386 1.000 5.00 100.0 20 2.00 45 1.625 5.00 76.3 10 1 .99 2 .375 1.25 75.3 10 2.01 76 1.000 1.25 43.2 10 1.99 73 1.000 1.25 16.3 30 2.00 160 1.000 1.25 60.0 0 2.00 3 1 .625 1.25 43.2 30 1.99 216 1.625 1.25 60.0 20 2.00 23 .375 3.13 76.8 30 1.99 314 .375 3.13 l60.0 2'0 2.03 170 (a) Find the estimated linear regression of Y on Z 15. Plot the residuals from the tted model to check model assumptions. (13) Find the estimated linear regression of ln{Y) on an appropriate subset of predictor variables