Questions: Question 2, 1.3.9-BE Part 1 of 4 HW Score: 6.25%, 0.5 of 8 points Points: 0 of 1 The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is y = -0.35 x + 96.4 where x represents years after 1960 and y represents the corresponding percentage of oil imports. Fossil Fuel Production Year Production (%) 1960 96 1970 96 1980 86 1990 85 2000 84 (A) Draw a scatter plot of the data and a graph of the model on the same axes.

Question 2, 1.3.9-BE Part 1 of 4 HW Score: 6.25%, 0.5 of 8 points Points: 0 of 1 The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is y = -0.35 x + 96.4 where x represents years after 1960 and y represents the corresponding percentage of oil imports. Fossil Fuel Production Year Production (%) 1960 96 1970 96 1980 86 1990 85 2000 84 (A) Draw a scatter plot of the data and a graph of the model on the same axes.
Transcript text: Question 2, 1.3.9-BE Part 1 of 4 HW Score: $6.25 \%, 0.5$ of 8 points Points: 0 of 1 The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression model for this data is \[ y=-0.35 x+96.4 \] where x represents years after 1960 and y represents the corresponding percentage of oil imports. Fossil Fuel Production \begin{tabular}{c|c} \multicolumn{1}{c|}{ Fossil Fuel Production } \\ Year & \begin{tabular}{c} Production (\%) \end{tabular} \\ \hline 1960 & 96 \\ 1970 & 96 \\ 1980 & 86 \\ 1990 & 85 \\ 2000 & 84 \end{tabular} (A) Draw a scatter plot of the data and a graph of the model on the same axes.
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Solution

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Solution Steps

Step 1: Calculate the years after 1960

We are given that _x_ represents the years after 1960. So we subtract 1960 from each year value in the table.

  • 1960 - 1960 = 0
  • 1970 - 1960 = 10
  • 1980 - 1960 = 20
  • 1990 - 1960 = 30
  • 2000 - 1960 = 40
Step 2: Plot the points from the table

Our _x_-values are the years after 1960 which we calculated in Step 1, and our _y_-values are the Production percentages. The points to plot are: (0, 96), (10, 96), (20, 86), (30, 85), and (40, 84).

Step 3: Identify the correct scatter plot and linear regression model graph

We look for the graph with the points we found in Step 2 and a line that closely fits those data points. Graph A fits this description. The line follows the downward trend of the points and begins near the _y_-intercept value of 96.4 in the given regression equation y = -0.35x + 96.4.

Final Answer: The answer is A.

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