Q3 a) A researcher wants to find out what are the factors which determine the number ofinstalls (I) of an application (app) from a famous app store. Size in Mbs (S), Reviews in*000s (Re), Ratings (0 to 5) (Ra), Price in 'Rs (P). She ran the following regressions:log I = 1.329 + 0.2356 S+0.4320 log(Ra) – 0.2678 P + 1.928 log(Re)Se = (0.63)R? = 0.734(0.242)(1.29)(0.001)(0.156)df = 156i. Interpret the regression above.ii. Test for statistical significance of Price in the model. Depending on the result do yousuggest that price is a significant factor affecting app installation?iii. Suppose the regression is re-estimated where number of installs (I) varies only withrespect to price (P). Average I in sample is 5 and average P is Rs 8.9. Followingregression was estimated:I = 52.351 + 3.139 -se = (37.39) (0.0187)df = 156, R? = 0.806How would you interpret this model? Explain the shape of the curve.iv. What would be the slope and elasticity of number of installs with reference to theequation given in iii) above?v. How would the equation in iii) change if we suggest that number of app installationsvaries with respect to the kind of cellular phone used by the customer, that is android orios phones?b) Will a dummy variable trap always exist if the number of dummies taken for a variableis same as the number of categories of that variable?c) Show that the coefficient of determination, R2, can also be obtained as the squaredcorrelation between actual Y values and the Y values estimated from the regression modelwhere Y is the dependent variable.

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a) A researcher wants to find out what are the factors which determine the number of installs (I) of an application (app) from a famous app store. Size in Mbs (S), Reviews in *000s (Re), Ratings (0 to 5) (Ra), Price in 'Rs (P). She ran the following regressions: log I = 1.329 + 0.2356 S +0.4320 log(Ra) – 0.2678 P + 1.928 log(Re) Se = (0.63) R = 0.734 (0.242) (1.29) (0.001) (0.156) df = 156 %3D

a) A researcher wants to find out what are the factors which determine the number of installs (I) of an application (app) from a famous app store. Size in Mbs (S), Reviews in *000s (Re), Ratings (0 to 5) (Ra), Price in 'Rs (P). She ran the following regressions: log I = 1.329 + 0.2356 S +0.4320 log(Ra) – 0.2678 P + 1.928 log(Re) Se = (0.63) R = 0.734 (0.242) (1.29) (0.001) (0.156) df = 156 %3D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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