In a study of variables that affect productivity in the retail grocery trade, the researcher uses value added per work - hour to measure productivity of retail grocery stores outlets. The value added per work hour is defined as the money generated by the business available to pay for labor, furniture, and equipment. Data consistent with relationship between value added per work - hour y and the size of a grocery outlet are given in the table below for 10 stores. Data points are represented on the plot below the table. Store Value added per Size of store x (in 1000 work - hour, y (in $) square feet) 1 4.08 21.0 2 3.40 12.0 3 3.51 25.2 4 3.09 10.4 5 2.92 30.9 6 1.94 6.8 7 4.11 19.6 8 3.16 14.5 9 3.75 25.0 10 3.60 19.1Use R output to answer the following questions. a. Do the data provide sufficient evidence to indicate that the model contributes important information for the prediction of y? b. Does the quadratic term contribute important information in the prediction ofy in the presence of linear term? c. Use H to construct quadratic regression cu nre. Show the code [in blue] and output {in black] for parts a, b, and c. Use p-ualues in output to answer the questions a and b. Insert the constructed plot using Plots:- CopyClipboard in Ft studio