PLEASE SOLVE a$,$ c$-1,$ c$-2,$ d$,$ and e$.$ A video media consultant collected the following data on popular LED televisions sold through on$-$line retailers.

Manufacturer Screen

$($in inches$)$ Price $($$$)$

Sharp $481,531\mathrm{.}00$

Samsung $481,607\mathrm{.}50$

Samsung $401,013\mathrm{.}00$

Sony $401,038\mathrm{.}00$

Sharp $32413\mathrm{.}75$

Samsung $501,504\mathrm{.}50$

Samsung $41999\mathrm{.}50$

Sharp $521,423\mathrm{.}25$

Sharp $32461\mathrm{.}25$

Sony $411,052\mathrm{.}75$

Sony $36524\mathrm{.}00$

Samsung $401,005\mathrm{.}25$

Sharp $38643\mathrm{.}25$

Sharp $32489\mathrm{.}00$

Sharp $40990\mathrm{.}75$

Samsung $491,710\mathrm{.}00$

Sharp $441,355\mathrm{.}75$

Samsung $40970\mathrm{.}00$

Sony $34461\mathrm{.}00$

Sony $41881\mathrm{.}50$

Sony $33404\mathrm{.}00$

Sony $39515\mathrm{.}25$

Sony $34460\mathrm{.}50$

Click here for the Excel Data File

a$.$ Does there appear to be a linear relationship between the screen size and the price? $($Round your answer to $2$ decimal places.$)$

b$.$ Which variable is the "dependent" variable?

multiple choice $1$

Screen size

Price

c$-1.$ Use statistical software to determine the regression equation. $($Negative amounts should be indicated by a minus sign. Round your answers to $3$ decimal places.$)$

c$-2.$ Interpret the value of the slope in the regression equation. $($Round your answer to $3$ decimal places.$)$

d$.$ Include the variable $$Sony$$ in the multiple regression analysis as a $$dummy$$ variable. Note that if $$Sony $=0$ the manufacturer is Samsung; if $$Sony $=1$ the manufacturer is Sony. $($Negative amounts should be indicated by a minus sign. Round your answers to $3$ decimal places.$)$

e$.$ Test each of the individual coefficients to see if they are significant. $($Negative amounts should be indicated by a minus sign. Round your t$-$value to $2$ decimal places and p$-$value to $4$ decimal places.$)$