1105_A2_Solutions_F11

# 1105_A2_Solutions_F11 - MAcnos Activity 2 Name; §o\wirwrts...

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Unformatted text preview: MAcnos Activity 2 Name; §o\wirwrts TH 11:00 TH 12:30 TH 2:00 Fall, Period: (circle yours) Date: 2 t g 2“ Group Number “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 regionx years after January 1, 1990. Y i X r ear ' . yealrsgéance eer popufatiol 134 103 70 45 36 28 an“ 1 9 -- -n- “- -- -- - a) Use the calculator to ﬁnd a liner regression model for the (Jay) data. Write this equation with the y—intercept rounded to the nearest whole number. y: ~8.%S‘x + m. For all remaining parts of this question, use the rounded-off version of 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 (3 line segment) from the y-intercept to the x-intercept on the ﬁgure above. Label both intercepts on the sketch as ordered pairs. ' To ism! 0m ><~'m+erce§>+) lei” Yuri-0. o :»?.€5x «H91. Sew 2: ISL 3.35 (over) 0) Write a sentence that interprets the slope as an average rate of change. Use appropriate units. Slope interpretation: “This linear regression model suggests that... agar” deer” popuia‘i‘iaw ciQCV‘ea-IEA ('33 an aver-age o“: 3.955 deer- Per year . d) Write sentences that interpret the y-intercept and x-intercept. y—intel‘cept interpretation: “This linear model suggests that... in [GHQ Jtiﬁem, Wet/"3.; i'SZ. Aeer ‘m woe rea‘tovx . x-interceptinterpretation: “This linear model suggests that... (ﬂood? ygﬁv‘s @‘Qiﬁr‘ Gr act/WWW ) ‘iiﬂe Year“ 200"?) ’Hng, ciaew Paedaﬂ g...“ rgacL-‘ggg Q r 6) Use the regression equation to estimate the number of deer in the year 2010. Is this is an example of interpolation or extrcgaolation? The. Year“ 2.0m is vegetated-ea hj X310 becaura ZOIO ‘1‘; 20 Year; acme? iGWO >1; wataeCzoy-Msl : ~25 Tin‘ﬁ; ‘IS emirmpoiafiiﬁw) anal, axiwmpoimihwm watmii‘g-i ADM“ oiwm/g wmka same, (Liam-i7) woe-emit— have 0&th g}; cigar“ ...
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1105_A2_Solutions_F11 - MAcnos Activity 2 Name; §o\wirwrts...

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