software company has developed a regression model to estimate the time $($in hours$)$ it takes to complete a project based on the project$$s complexity, team experience, and project budget. The regression equation is as follows:

T i m e equals $15$ plus $2\mathrm{.}5$ asterisk times c o m p l e x i t y minus $3$ asterisk times T e a m space E x p e r i e n c e plus $0\mathrm{.}1$ asterisk times B u d g e t

Where Time represents the time to complete the project in hours. Complexity is a measure of project complexity $($scaled from $1$ to $10).$ Team Experience is a measure of the team$$s collective experience $($scaled from $1$ to $5).$ Budget is the budget allocated to the project in thousands of pounds. The model$$s additional information is as follows:

R squared equals $0\mathrm{.}825$ semicolon space s to the power of e left parenthesis s tan d a r d space e r r o r right parenthesis equals $4\mathrm{.}2$ semicolon space F minus s t a t i s t i c equals $47\mathrm{.}63$

What proportion of the total variation in project completion time is explained by the regression equation?

$47\mathrm{.}63\%$

$82\mathrm{.}5\%$

$4\mathrm{.}2\%$

$15\%$

$10\%$