Starbucks Coffee Co$.$ uses a data$-$based approach to improve the quality and customer satisfaction of its products. When survey data indicated that Starbucks needed to improve its package$-$sealing process, an experiment was conducted to determine the factors in the bag$-$sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. Starbucks.xlsx

$\backslash$table$[[$Tear$,$Viscosity,Pressure,Plate Gap$],[0,350,180,0],[0,350,170,0],[0\mathrm{.}45,319,186,1\mathrm{.}8],[0\mathrm{.}85,380,174,1\mathrm{.}8],[0\mathrm{.}35,350,180,0],[0\mathrm{.}3,300,180,0],[0\mathrm{.}7,400,180,0],[1\mathrm{.}9,350,190,0],[0\mathrm{.}25,350,180,0],[0\mathrm{.}1,319,186,-1\mathrm{.}8],[0\mathrm{.}15,380,186,-1\mathrm{.}8],[3\mathrm{.}9,350,180,3],[0,380,174,-1\mathrm{.}8],[0\mathrm{.}55,350,180,0],[0,350,180,-3],[0\mathrm{.}05,319,174,-1\mathrm{.}8],[0\mathrm{.}4,319,174,1\mathrm{.}8],[4\mathrm{.}3,380,186,1\mathrm{.}8],[0,350,180,0]]$

Answer the following based on the table above

State which of the variables is the explanatory variable and which is the response variable based on the scenario above?

Construct a scattered plot based on the information above between the varaibles.

Assuming a linearrelationship, Determine the specific straight linethat is the best fit to these data. Interpret the meaning of the slope.

Predict themean tear rating when the plate gap is equal to $0.$

What shouldyou tell the management of Starbucks about the relationship between the plategap and the tear rating?