Given are three simple linear equations in the format of y $=$ mx $+$ b$.$Equation $1$: y $=7,605+1\mathrm{.}88$xEquation $2$: y $=18,678+0\mathrm{.}83$xEquation $3$: y $=13,456+1\mathrm{.}68$x InstructionsPlot and label all equations $1,2,$ and $3$ on the same graph paper.The graph must show how these equations intersect with each other if they do$.$ Label each equation $(8$ pts$.).$Compute each Interception point $($coordinate$).$ On the graph label each interception point with its coordinate $(8$ pts$.)$Upload your graph in one page pdf format.Drag n$\text{'}$ Drop here or Browse$1$ file$($s$)$ required, pdf only!$1$ file$($s$)$ required, pdf only!Question at position $22$ Fill in the Blank $10$ points Question at position $2$ A Company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used $5$ workers, who produced an average of $77$ carts per hour. Workers receive $$11$ per hour, and machine coast was $$47$ per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $$14$ per hour while output increased by four carts per hour.a$)$ Compute the multifactor productivity $($MFP$)($labor plus equipment$)$ under the Prior to buying the new equipment. The MFP $($carts$/$$$)=$ Question Blank $1$ of $2($round to $4$ decimal places$).$b$)$ Compute the $\%$ growth in productivity between the Prior to and after buying the new equipment. The growth in productivity $=$Question Blank $2$ of $2\%($round to $2$ decimal places$)$Question at position $33$ Fill in the Blank $24$ points Question at position $3$ The manager of a seafood restaurant was asked to establish a pricing policy on lobster dinners. The manager intends to use the pricing $$/$LB to predict the lobster sales on each day. The pertinent historical data are collected as shown in the table. Anaswer the following questions.DayLobster Sold$/$dayPrice $($$$/$lb$.)11666\mathrm{.}521636\mathrm{.}531656\mathrm{.}641887\mathrm{.}551757\mathrm{.}661917\mathrm{.}671857\mathrm{.}6$a$)$ x $=$ independent variable. According to this problem, the x $=$Question Blank $1$ of $6$b$)$ r i s the coeefficient of correlation. Use the r equation to compute the value of the denominator part of the equation. The value for the r denominator $=$Question Blank $2$ of $6($in $4$ decimal places$)$c$)$ According to this problem, the correlation of coefficient, r$,$ between the two most pertinent variables is $=$ Question Blank $3$ of $6($in $4$ decimal places$).$d$)$ According to the instructor's lecture, the correlation strength between any two variables can be described as strong $,$ weak $,$ or no correlation. The correlation strength for this problem can be described asQuestion Blank $4$ of $6$ correlation.e$)$ According to the instructor's lecture, the correlation direction between any two variables can be described as direct or indirect relationship. The correlation direction for this problem can be described asQuestion Blank $5$ of $6$ relationship.f$)$ Regardless, you were told to use the Associative Forecasting method to predict the expected lobster sale. If the lobster price $=$ $$8\mathrm{.}58,$ the expected #s of lobster sold $=$Question Blank $6$ of $6($round to the next whole #$).$Question at position $44$ Fill in the Blank $5$ points Question at position $4$ Given is a historical time series for job services demand in the prior $6$ months.MonthDemand$169828153716461356576865$The Period $4$ forecast by using exponential smoothing with $0\mathrm{.}33$ alpha $=$Question Blank $1$ of $1($in $2$ decimal places$)$Question at position $55$ Fill in the Blank $5$ points Question at position $5$ Given is a historical time series for job services demand in the prior $6$ months.MonthDemand$173627013812473557856736$The Period $6$ forecast by using weighted moving average with weights of $0\mathrm{.}05,0\mathrm{.}25,0\mathrm{.}40,$ and $0\mathrm{.}30=$ Question Blank $1$ of $1($in $2$ decimal places$)$