i already did and provided the first part of the question, i just need 3&4

below are the answer for no. 1

Problem set 3. (max 20 points) We operate data on food-related expenditure and total expenditure for US households in 1995. The purpose of our study is to explain how the share of food expenditure on total expenditure (variable share_exp_food measured in ratio from 0 to 1) depends on the total expenditure of the household (variable total_exp measured in US$). Below, R code and output are provided for three regression models fitted to this data along with the relevant summary statistics. Use it to answer the following sub-questions: Descriptive statistics: food_dta %>% psych. :describe F, ranges f) %>% print (44) Vers sd se ## share exp food 0.0862 0.0029 = total exp 2 868 29949.4083 19443.3978 659.9519 plot (share exp food total exp, food dta) m mean share exp_food 0.0 a ne ) ART [UUU co So wa Model 1 modeli <. lm summary total exp food dta call: share total_exp data a residuals: min median coefficients: estimate std. error t value pr>101) ## (Intercept) 2.114e-01 4.583e-03 46. 11 2e-16 --- total exp - 2.219e-06 1:284e-07 --17:28 $ ** Signif. codes : O 0.001 0.01 0.05.01 ** Residual standard error: 0.0735 on 866 degrees of freedom ## Multiple R-squared: 0.2565, Adjusted R-squared: 0256 ## F-statistic: 298.7 on 1 and 866 DF, P-value: 2.2e-16 00 1962 DOR 2680 SIRO senpisa popPS HONOM HOON 000 ODS DO 0.15 0.20 2 31 O 1 3 Fred values Theoretical Quarties Model 2 model2 ltl) ## (Intercept) 0.95299 0.03 625 25.73 42e-16 | ## log (total exp) -0.07797 0.00358 -21.78 it) (Intercept) 3.16627 0.24430 12. 96