Question

er 16 Assignment rating of 3.7 out of 5 based on 117,323 user ratings (Rotten Tomatoes website, September 4, 2016). How are the user ratings of Suicide Squad related to the age The flem Suicide Squad has an average er and the rating the user gave The Secret Life of Pets? Suppose we have a sample of users' ages and their ratings for the movies Suiade Squad and The Secret Life of Pets as included in the of the us DATMile Rotten Tomatoes DATA Tile a. Select a scatter diagram for these data with the users' ages as the ndependent variable and their ratirg of Susode Squad as the dependent variable 10. 13. 14 10 20 30460TU Age Age Q Search this course AGE MINDTAP 6 Assignment 10 20 0 Age Age Does a simple linear regression model appear to be appropriate? b. use the data pe ided to develop the regression equation for estimo g the user ratings of Sacide Suad that " suggested by the scatter diagon n per a to a c- include the user rating of The Secret Life af Pets as an ndependen't variable in the regression model developed in part (b) Interpret the regression coticent for the user rating of The Secre igeSq Age Pets. (to 4 decimals). Enter negstive values as negative mumbers User Rating of The Secret Life of Pets pomt incresse in the user's Select AgeSq+ Age+ points in " or cancides with an estimated! Select constant, a Holdmg the users Sclest the user's equation developed in part (c) superior? Use the equation that explains more varistior d. 1s the regression squation developed n pat (b) or the regression Selest your aW e. Suppose rating of 4 Use the model you selected in pert (d) to predict that user's rining of suno 31 wr old user gove The Secret Life of Pets O Type here to search 10 20 0 10 2040 50 60 TO 80 Age Does a simple linear regression model appear to be appropriatei b. Use the data provided to develop the regression equation for estimating the user ratings of Suucde Squad that is suggested by the scatter diagram in part (a). (to 4 decimals) c. Include the user rating of The Secret Life of Pets as an independent variable in the regressian model developed in part (b). Interpret the regression coefficient for the user rating of The Secret Life Age t Agesq Pets. (to 4 decimals). Enter regative values as negative rvumbers Age + User Rating of The Secret Life of Pets Holding the user's sSelec the user's Select d. Ts the regressio constant, point increase in the users sdect coinckles with an estimated Slect o the regression equation developed in part (c) superior? Use the ecuation that explsins more variation Select your answ oting of Surcde squad e. Suppose a 31 y rating of the Socrat Li o f Pets a rating of 4 Use the model you selected in part (d) to predict that user's rating of Sude Sud, (to 3 decimalk) 0 0 2 30 0 10 20 30 40 50 60 70 80 Does ธ 5mple lmear regresson model appear to be approprate? b. Use the data provided to develop the regression equation for estimating the user ratings of Suscide Squad that is suggested hy the scatter diagram in part (a). (to 4 decimals) Age s acesa .Inckade the user rating of The Secret Life of Pets as an indepenckent variable in the regression model devokoped in part (b). Interpret the regression coeficent for the user rating of The Secret Lite of Pets. (to 4 decimals). Enter negative values as negative numbers Age+ Agesa User Rating of The Secret Life of Pets point increase n the user's sabescs Holding the user's Select constant, a wth an estimated Select points in the user's Select d. ts the regression equition developed in part (b) or the regression equation developed in part (e) superior? Use the equston that explsins more varistion e. Suppose a 31 year old user geve The Secret Lie orn es·rating of use the model you s l te n part d) to pred ct that user's rating of So cote so tto 3 de deres e Type here to search 0 10 203040 06070 0 10 20 450 50 0 D Age Does a simple inear regression model appear to be appropriste? b. Use the data provided to develop the regression equetion for estimating the user ratings of Suncide Squad thet is suggested by the scatter diagram in part (a). (to 4 decimals). t. Include the user reling of The Secret Life of Pets as an independent variable in the regression model developed in part (b). Interpret the regression coefficient for the user rating of The Secret Life of Nge + Agesq Pets, (to 4 decimals). Enter negative values as negative numbers Age+ AgeSq User Rating of The Secret Life of Pets Holding the user's nlect the user's Select d. Is the r point increase in the user's Sdect constant, coincides wh an estinated Select o points in art (b) or the regression equation developed in part (e) superior? Use the equation that explains more varstion. rating of Suikide Squad ret Lite of Pets a rsting of 4. Use the model you selected in part (d) to predict that user's rating of Ssde Squad (to 3 decimals) Q Type here to search 50 30 40 60 70 80 01020304050 60702001020 Select yor Dees a simple linear regression model appear to be appropriste? Select your a b. Use the data provided ta develop the regression equation for estimsting the user ratings of Suscide Squad that is suggested by the scatter disgram in part (a), (to 4 decimals) Age + Age5q erpret the regression coefficient for the user rating of The Secret We of

Answer 1

a.

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Option 4.

Simple linear regression model appears to be appropriate i.e. Option: Yes.

$b.\\ \hat{y}=7.3962-0.1664 Age+0.0011 Age Sq.\\$

SUMMARY OUTPUT Rearession Statistics MultipleR R Square Adjusted R Square Standard Error Observations 0.917968233 0.842665677 0.839318138 0.448588838 97 ANOVA MS 50.65550062251.7269336 Significance F 2i 101.3110012 94 18.91580289 0.201231946 96 120.2268041 Regression Residual Total 1.78116E-38 Coefficients Standard Error P-value t Stat Upper 95% Lower 95% Intercept X Variable 1 X Variable 2 7.3962 0.31698267223.33305042 6.99317E-41 6.766796148 8.025549201 0.1664 0.0178759089.3088468115.42092E-15 -0.201897127-0.130911057 0.00110.000223621 4.738606128 7.62226E-06 0.000615647 0.001503657
$c.\\ \hat{y}=7.243-0.1271 Age+0.0007 Age Sq-0.1933 User ~Rating ~of ~the~Secret~Life~of~Pets.\\ Holding~user's~Rating ~of ~the~Secret~Life~of~Pets~constant,~a~one~point~increase~in\\ ~the~user's~age~coincide~with~an~estimated~decrease~of~ ~0.125\\ ((0.0007*2+0.0007)-0.1271=-0.125)~points~in~the~user's~rating~of~suicide~squad.\\ d.~part~(c)~(compared~R^2~and~adjusted~R^2).\\ e.~When~Age=31,~Rating=4~then\\ \hat{y}=7.243-0.1271 *31+0.0007 *31^2-0.1933*4=3.202$