Question 1 The St. Lucian Government is interested in predicting the number of weekly riders on the public buses using the following variables: Price of bus trips per week The population in the city The monthly income of riders Average rate to park your personal vehicle Price per City weck SIS SIS ---- Number of weekly riders 192,000 190,400 191,200 177,600 176,800 178,400 180,800 175,200 174,400 173.920 172,800 SIS $25 S25 S25 $25 $30 530 Population of city 1.800.000 1.790,000 1.780,000 1.778.000 1.750,000 1.740.000 1.725,000 1.725,000 1.720,000 1.705.000 1.710,000 Monthly income of riders S5,800 S6,200 $6,400 $6,500 S6,550 S6.580 S8,200 $8,600 S8,800 $9,200 $9.630 Average parking rates per month SSO $50 $60 S60 S60 $70 $75 $75 $ SRO SRO 9 10 11 $30 $30 $40 S40 12 163,200 1.700.000 S10.570 SRO 13 161,600 $40 1 695,000 $11,330 SRS 14 161,600 $40 1,695,000 $11,600 S100 15 160,800 $40 1.690,000 $11.800 S105 16 159,200 1.630,000 S11.8.30 SIOS 17 148,800 S65 1.640.000 S12.650 SIOS 18 115,696 SIO2 1.635.000 $13,000 S110 19 147,200 $75 1.630,000 $13,224 S125 20 150,400 $75 1.620,000 $13,766 $130 21 152,000 $75 1.615.000 $14,010 SISO 22 136,000 $80 1.605,000 $14,46% $135 23 126,240 $86 1.390,000 S13,000 $165 24 123,888 S98 1 595.000 SI5.200 $175 25 126,080 $87 1.590,000 $15,600 $175 26 151,680 $77 1.600.000 $16,000 $190 a. Determine the multiple regression equation for the data. [2 marks] b. What is the predicted value of the number of weekly riders if price of bus trips per week - $24. population - $2,000,000, the monthly income of riders - $13,500; and average rate to park your personal vehicle S150 [2 marks] c. Interpret the coefficient of determination. [2 marks) d. At the 5% significance level, determine if the model is useful for predicting the number of weekly riders en public buses. In responding, construct and test any appropriate hypothesis. (4 marks] e. At the 5% significance level, does it appear that price of bus trips per week, population or average rate to park your personal vehicle can be removed from the model as unnecessary? In responding construct and test any appropriate hypothesis. 16 marks] Question The Ministry of Health is interested in determining whether the average nicotine content of regular, menthol, and filtered cigarettes for 16 different brands differ. The data from the sample is provided below. Regular 1.1 17 14 12 17 18 1.2 1.7 16 15 1.2 1.1 1.1 14 0.9 08 08 0.7 Menthol Filtered 1.1 0.8 0.410 10 1.2 0.7 1.1 0906 0.9 10 13 08 1.2 02 0.6 0.7L 0 1.1 09 05 1.1 Mean Squares F Source of Variation Sums of Squares Factors or Treatment Error Total Define the null and alternative hypothesis for the ANOVA model. [2 marks) b. Calculate the missing values for the ANOVA table above. [10 marka) c. What is your conclusion for the ANOVA results! [2 marks] d. Confirm your answer using JASP AUJASP input files and output tables should be provided 4 marks] If applicable, use the appropriate test to determine the average nicotine content which diffen. In responding contract and test any appropriate hypothesis. (4 marks] Question A study was conducted to determine the differences in the average weight loss of four groups of individuals: (1) kata diet gym) me exercise and(4) Intermittent. The data is shown below: Keto Diet 900 9.50 8.25 1100 1225 Gym 11.00 10.00 11.35 13.50 11.50 No.Exercise Na Dict 11.30 1200 935 13250 13.75 Intermitt Fasting 1335 11 50 12.55 11.75 12:50 8.50 12.00 1100 Conduct the relevant tests and provide the conclusions for the study. 114 marks b. Provide a brief explanation 3 - 5 sentences) of your study and hypothesis test findings using language as appropriate for a client sho is intelligent but is not knowledgeable about statistics, Include figures and tables as you think is appropriate marks Confirm your result in part (1) using JASP ALL JASP input files and output tables should be provided (4 marks