Question

-4 of 11 ID: MST.SLR.AV.06.0010b [2 points] The Mean Corporation has been commissioned to conduct a study is into the relationship between the population of ao number of motor vehicle accidents in the city per year. A linear regression model is to be constructed. In the proposed model, number of motor vehicle accidents per year is the response variable and population of the city is the explanato A random sample of 20 cities is selected and measurements are observed. Population No. accidents Downl ('000s) 1,840 670 2,910 440 2,960 500 640 1,800 1,930 1,460 3,440 1,860 1,980 700 1,130 430 2,990 490 1,380 1,720 per year 5,459 3,373 6,760 1,742 7,905 3,718 2,590 4,627 4,579 3,620 7,176 4,416 4,793 3,154 3,077 3,534 5,777 3,119 3,438 4,006 a) Calculate the point prediction for the value x 1,000. Give your answer as a whole number Y3487 b) Give the 95% prediction interval for the value x-1,000. Give your answers as whole numbers.

Average Petrol Price Number of Online

1.371,424

2.13752,688

4.313,225

3.972,872

2.25752,774

3.01253,234

1.71751,460

1.84251,518

2.11752,630

3.95253,240

Answer 1

S.No 5459 3373 6760 1742 1245121.2225 308532.5250 866829.0250 5841163.9225 3254288.5250 6765981.3225 2922392.0250 12686775.4225 4974123.5250 664847.0250 3073534.9225 1619034.0250 67130.5250 86439.0250 74846.0250 8025039.1225 5315843.0250 21600.0250 187362.5250 1414077.7225 1026831.0250 1603135.8225 548876.0250 654723.7225 917171.5250 2055925.8225 2045387.0250 1498543.2225 1314125.0250 166095.0250 52763.9750 47995806.5500 26328989.5000 76452.2500 798342.2500 941191.0225 2910 1262252.2500 1950212.2500 3718 1131032.2500 852852.2500 55932.2500 134322.2500 10712.2500 7176 3521252.2500 87912.2500 173472.2500 745632.2500 187922.2500 390812.5225 1800 1930 1460 2590 4627 4579 80570.8225 55625.2225 522945.9225 10 4416 4793 3154 3077 12 1860 5307.1225 202365.0225 15 18 19 20 57772034902.2500 1152402.2500 33672.2500 24492.2500 86863 17331655.0000 3119 3438 819296.5225 113670.1225 Total Mean 1720 31270 1563.5000 4343.1500 sample size: 343.1500 1563.5000 Σ(X-X- 1733|655.0000 Σ(X-X)(Y-Y)= 26328989.5000 1.5191 intercept- 1967.9945 SSE -Syy-(Sxy)/sxx- error variance σ"- std error σ 7998720.9808 S-SSE/(n-2) 444373.388 se 666.6134 predcited value at X-1000: 3487.122 std error prediction interval s*/(1+1/n+(xo-X'/SJ 689.0090 for 95 % CI value of t margin of error E-t*std error lower prediction bound-sample mean-margin of error- Upper prediction bound-sample mean+margin of error- 2.101 1447.6079 2039.51 4934.73

from above 95% prediction interval =2040 <= y <=4935 ( please tryy 2039 < y< 4935 if this comes wrong and revert)