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1105_A2_F11

1105_A2_F11 - y-intercept to the x-intercept on the figure...

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MAC1105 Activity 2 Name: ______________ ___ Fall, 2011 Period: (circle yours) TH 11:00 TH 12:30 TH 2:00 Date: _________ “Modeling by Linear Regression” 1. An ecologist observes that in a certain region the deer population seems to be decreasing. The table and scatter plot show the deer population every two years dating back to 1990. Let y be the number of deer in this region x years after January 1, 1990. a) Use the calculator to find a liner regression model for the ( x , y ) data. Write this equation with the y-intercept rounded to the nearest whole number. y = _______________________ For all remaining parts of this question, use the equation in part a). b) Use the regression equation to find the x -intercept of the graph. Then sketch the portion of the graph (a line segment) from the

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Unformatted text preview: y-intercept to the x-intercept on the figure above. Label both intercepts on the sketch as ordered pairs. (over) Year x years since 1990 y deer population 1990 0 145 1992 2 144 1994 4 134 1996 6 103 1998 8 70 2000 10 45 2002 12 36 2004 14 28 2006 16 30 c) Write a sentence that interprets the slope as an average rate of change. Use appropriate units. Slope interpretation: “This linear regression model suggests that… d) Write sentences that interpret the y-intercept and x-intercept. y-intercept interpretation: “This linear model suggests that… x-intercept interpretation: “This linear model suggests that… e) Use the regression equation to estimate the number of deer in the year 2010. Is this is an example of interpolation or extrapolation ?...
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1105_A2_F11 - y-intercept to the x-intercept on the figure...

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