Population Full data set Year, x 1900 1910 1920 1930 1940 1950 Population, y 76,212 95,228 104,021 123,202 132,164 151,3
Posted: Wed May 11, 2022 12:00 pm
- Population Full Data Set Year X 1900 1910 1920 1930 1940 1950 Population Y 76 212 95 228 104 021 123 202 132 164 151 3 1 (31.29 KiB) Viewed 34 times
- Population Full Data Set Year X 1900 1910 1920 1930 1940 1950 Population Y 76 212 95 228 104 021 123 202 132 164 151 3 2 (34.55 KiB) Viewed 34 times
- Population Full Data Set Year X 1900 1910 1920 1930 1940 1950 Population Y 76 212 95 228 104 021 123 202 132 164 151 3 3 (42.37 KiB) Viewed 34 times
- Population Full Data Set Year X 1900 1910 1920 1930 1940 1950 Population Y 76 212 95 228 104 021 123 202 132 164 151 3 4 (20.12 KiB) Viewed 34 times
(a) Determine the least squares regression equation, treating year as the explanatory variable. Choose the correct answer bolow, O A ŷ-2,014% -1,526,355 OBÝ 2,014% -3,760,811 OC 9-1,236,365 – 3,760,011 ODŷ= -3,760,811x + 2,014 (b) A normal probability plot of the residens indicates that the residus we npproximately normally distributed Test with a firear relation exists between your and population. Use the a=001 level of significance State the null and alternative hypotheers. Choose the comect awwir below. O A Holo Hi Hoo OB 16 Poo Po > 0 oc HoPro Hi Py> OD. Ho P2 = 0 H: 120 Determine the P value of this hypothesis test P value - Round to three decimal places as needed)
State the appropriate conclusion Choose the correct answer below DA Reject Ho. There is not sufficient evidence to conclude that a linear relation exists between year and population O B. Do not reject Hi There is not suficient evidence to conclude that a linear relation exists between year and poputation OC Reject. Ho There is sufficient evidence to conclude that a linear relation exists between year and population OD. Do not reject H There is sufficient evidence to conclude that a linear relation exists between you and population (c) Draw a scatter diagram, tronting year as the explariatory variable Choose the correct graph below. OA OB Ос. Q Q 2 21 3 .. 2000 1900 2000 1900 3000 VE (d) Plot the residuanin against the explanatory variable, yoor. Choose the correct graph below. ОА 200001 ос 20000 AS 200001 10000 100 1000 10000 0000 100 200
(e) Does a linear model seem appropriate based on the scatter diagram and residual plot? No Yes What is the monar OA The moral is that interential procedures may indicate that a linear relation between the two varios exists even though diagnostic tools such as residual plots) indicate that a linear model inappropriate OB. The moral is that explanatory variables may indicate that a new relation between the two variables does not exist even though diastic tools (such as residual plots) indicate that a near model is propriate The moral is that interenti procedures may indicate that a nonlinear relation between the two variables exists on though diagistic tools (such as residual plots) indicate that a linear model is appropriate