question archive The number of cellular phones (CELL) in the Philippines has been growing according to the following model: CELLt= CELLo(1 + 9) Where 9 is the growth rate and CELLo is the number of cellular phones (in thousands) in 2010
The number of cellular phones (CELL) in the Philippines has been growing according to the following model: CELLt= CELLo(1 + 9) Where 9 is the growth rate and CELLo is the number of cellular phones (in thousands) in 2010
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The number of cellular phones (CELL) in the Philippines has been growing according to the following model: CELLt= CELLo(1 + 9) Where 9 is the growth rate and CELLo is the number of cellular phones (in thousands) in 2010. After linearizing this model by a log transformation, we have: InCELLt= |nCELLo+ tln(1 + g) and we obtain the following result as regression estimate: InCELLt= 8.5 + 0.23it = 0 for 1995 a) What is the rate of growth of cellular phones? b) What was the number of cellular phones in use in the year 2010? 0) Write the exponential equation and estimate the number of cell phones in use for the year2019.
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Step-by-step explanation
In Colle = In Callat the (itg) In Colle = 8.5 + 0.236 a rate of growth is given by g. 2 from equation log equation 0-23t = t In ( 1+9) In CELLE = 8.5+0-23 t dropping + both side Converting it to exponental 0.23 = In ( 1+ 9 ) CELLAS P (8-5+ 0-230) In (itg) = 0.23 (8.5+ 0.23 + ) 1+9 = p0.23 where t= 0 for 1995 In 2019 t= 2019-1995 1+9 = 1. 25 86 0001 = 24 9 = 0. 25 86 00 01 = 0. 2586 CELLA= P ( 8. 5 +0:23 0 ) b Cell phone in use in the 2010? = P (85 + 0-23 ( 24 ) 7 CEllo is the value from equation = 1 14. 02 In CELL : 8.5. Cello : e 85 = 1226898 phones- = 4914 phone hance , Equation : CEll, = 6 ( 8.5+ 0 23 + ) Cell phones = 1226898 in 201
