The chart to the right shows a country's annual egg production. Model the data in the chart with a linear function, using the points (0,52.7) and (4,61.4). Let x=0 represent 1994, x=1 represent 1995, and so on, and let y represent the egg production (in billions). Predict egg production in 2000. How does the result compare to the actual data given in hte table, 70.7?YearEgg production (in billions)199452.7199553.6199655.4199758.3199861.4199965200070.7

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The chart to the right shows a country&#039;s annual egg production. Model the data in the chart with a linear function, using the points (0,52.7) and (4,61.4). Let x=0 represent 1994, x=1 represent 1995, and so on, and let y represent the egg production (in billions). Predict egg production in 2000. How does the result compare to the actual data given in hte table, 70.7?YearEgg production (in billions)199452.7199553.6199655.4199758.3199861.4199965200070.7

Piosellisf · Accepted Answer

Step 1   Let x represent the year and y represent the egg production .   Here x=0 represent 1994, x=1 represent 1995 and so on.   Step 2   We need to find linear model for the data using point (0,52.7) and (4,61.4)   We know that the slope of line using two points is given by   slope=y2−y1x2−x1=61.4−52.74−0=8.74=2.175  Now equation of the linear model is given by   y−52.7=slope(x−0)   y=2.175x+52.7   Egg production in year 2000 (x=6)   y=2.175(6)+52.7=65.75 billion   Compare the predicted egg production ( 65.75 billion ) in year 2000 to the actual data (70.7 billion)   Take the difference from the actual data    =70.7−65.75=4.95 billion   The result is 4.95 billion eggs less than the actual figure .

Cleveland Walters · Accepted Answer

Given that points (x1,y1)=(0,52.7)  (x2,y2)=(4,61.5)  of linear function  so linear eq-n given by  y−y1=y2−y1x2−x1(x−x1)  y−52.7=61.5−52.74−0(x−0)  y=2.2x+52.7  This is linear model for the data  at 2001,x=6  y=2.2×6+52.7  y=65.9  Actual value at 2001 is 70.7  so model underestimates at 2001

alenahelenash · Accepted Answer

Let, x represent the year after 1994 and y represent the egg production. From the given data we have at x=0,y=52.7 At x=4,y=61.5 Let, y=mx+c be the slope intercept formula of the model. Then 52.7=0+c or,c=52.7 Again, 61.5=4m+52.7 Or, 4m=8.8 Or, m=2.2 So required linear model for the data is y=2.2x+52.7 And at 2000, x=2000−1994=6 So y=65.9 that is predicted egg production in 2000 is 65.9 billion.

The chart to the right shows a country's annual egg production. Model the data in the chart with a l

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