Linearise the activity data and use the Excel Data Analysis tool on the linearised activity data to perform the linear regression. Show the plot with the fitted model. Make sure that the plot has the right format, don$$t just copy$-$paste directly from the Data Analysis tool.

The Excel Data Analysis tool shows the values of the gradient and y$-$intercept with errors, the R$2$ coefficient and the standard residual error. Remember how we present values with errors.

What is the initial activity of your sample with an error? Is this value similar to the value you got from the trendline? Remember units. Hint: ex$$x$=$ex

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline time $[$year$]$ & & activity $[$decays$/$year$]\backslash \backslash$

$\backslash$hline & $6\mathrm{.}034$ & $851\mathrm{.}5541961\backslash \backslash$

$\backslash$hline & $12\mathrm{.}068$ & $822\mathrm{.}9824422\backslash \backslash$

$\backslash$hline & $18\mathrm{.}102$ & $674\mathrm{.}4913072\backslash \backslash$

$\backslash$hline & $24\mathrm{.}136$ & $607\mathrm{.}3277296\backslash \backslash$

$\backslash$hline & $30\mathrm{.}17$ & $481\mathrm{.}2408616\backslash \backslash$

$\backslash$hline & $36\mathrm{.}204$ & $442\mathrm{.}3004956\backslash \backslash$

$\backslash$hline & $42\mathrm{.}238$ & $415\mathrm{.}0014536\backslash \backslash$

$\backslash$hline & $48\mathrm{.}272$ & $323\mathrm{.}1396119\backslash \backslash$

$\backslash$hline & $54\mathrm{.}306$ & $290\mathrm{.}9762715\backslash \backslash$

$\backslash$hline & $60\mathrm{.}34$ & $242\mathrm{.}1430179\backslash \backslash$

$\backslash$hline & $66\mathrm{.}374$ & $205\mathrm{.}3722695\backslash \backslash$

$\backslash$hline & $72\mathrm{.}408$ & $183\mathrm{.}6680006\backslash \backslash$

$\backslash$hline & $78\mathrm{.}442$ & $150\mathrm{.}701964\backslash \backslash$

$\backslash$hline & $84\mathrm{.}476$ & $134\mathrm{.}2451686\backslash \backslash$

$\backslash$hline & $90\mathrm{.}51$ & $130\mathrm{.}4213685\backslash \backslash$

$\backslash$hline & $96\mathrm{.}544$ & $103\mathrm{.}4823838\backslash \backslash$

$\backslash$hline & $102\mathrm{.}578$ & $102\mathrm{.}5330688\backslash \backslash$

$\backslash$hline & $108\mathrm{.}612$ & $77\mathrm{.}64029652\backslash \backslash$

$\backslash$hline & $114\mathrm{.}646$ & $78\mathrm{.}93955688\backslash \backslash$

$\backslash$hline & $120\mathrm{.}68$ & $67\mathrm{.}97034887\backslash \backslash$

$\backslash$hline & $126\mathrm{.}714$ & $49\mathrm{.}47359145\backslash \backslash$

$\backslash$hline & $132\mathrm{.}748$ & $47\mathrm{.}58894896\backslash \backslash$

$\backslash$hline & $138\mathrm{.}782$ & $43\mathrm{.}7041077\backslash \backslash$

$\backslash$hline & $144\mathrm{.}816$ & $32\mathrm{.}85125859\backslash \backslash$

$\backslash$hline & $150\mathrm{.}85$ & $32\mathrm{.}09387932\backslash \backslash$

$\backslash$hline & $156\mathrm{.}884$ & $27\mathrm{.}90359095\backslash \backslash$

$\backslash$hline & $162\mathrm{.}918$ & $23\mathrm{.}59212492\backslash \backslash$

$\backslash$hline & $168\mathrm{.}952$ & $18\mathrm{.}62865543\backslash \backslash$

$\backslash$hline & $174\mathrm{.}986$ & $16\mathrm{.}47254554\backslash \backslash$

$\backslash$hline & $181\mathrm{.}02$ & $14\mathrm{.}89313115\backslash \backslash$

$\backslash$hline & $187\mathrm{.}054$ & $13\mathrm{.}28344931\backslash \backslash$

$\backslash$hline & $193\mathrm{.}088$ & $10\mathrm{.}88209796\backslash \backslash$

$\backslash$hline & $199\mathrm{.}122$ & $9\mathrm{.}395333537\backslash \backslash$

$\backslash$hline & $205\mathrm{.}156$ & $8\mathrm{.}497836234\backslash \backslash$

$\backslash$hline & $211\mathrm{.}19$ & $7\mathrm{.}859285711\backslash \backslash$

$\backslash$hline & $217\mathrm{.}224$ & $7\mathrm{.}002703769\backslash \backslash$

$\backslash$hline & $223\mathrm{.}258$ & $5\mathrm{.}572531782\backslash \backslash$

$\backslash$hline & $229\mathrm{.}292$ & $4\mathrm{.}786123255\backslash \backslash$

$\backslash$hline & $235\mathrm{.}326$ & $4\mathrm{.}670994147\backslash \backslash$

$\backslash$hline & $241\mathrm{.}36$ & $4\mathrm{.}143669681\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$