nome pa y answers you nave entered on tnis page will nor be kept bookmark. If yo
ID: 2907601 • Letter: N
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nome pa y answers you nave entered on tnis page will nor be kept bookmark. If you bookmark this page, you must return to it and submit your answers before the end date of this homework of 7 ID: MST.MR.TM.05.0030 [2 points] A regression model is constructed with the goal of predicting the number of motor vehicle accidents in a city per year based upon the population of the city, the numb of recorded traffic offenses per year, the number of vehicles per capita in the city and the average annual temperature in the town. A random sample of 50 cities were studied for this purpose Here is an analysis output on the regression model: ANOVA DF SS MS Probability 7.42532113. 0.001 Regression 4128.099 32.02475 Residual45 94.081 4.31291111 Total 49 322.18 R2 0.39760072 s 2.07675495.. Regression coefficients Estimate Standard Error t 15.87 3.281 2.9550.1683 Probability 0.001 Intercept Population of city No, of vehicles per capita No. of traffic offenses 0.7800.2555 Average annual 4.83693996.3 17.55793226 0.001 8.838046270.001 3.05283757 0.00379772 1.7190.1945 0.3910.5027 0.777799880.44075731 temp a) At a level of significance of 0.05, the resuit of the F test for this madel is that the null hypothesis b) Suppose you are going to construct a new model by removing the most insignificant rejected variable. You would first remove population of aty no. of vehicles per capita no. of traffic offenses average annual temp. 2 of 7 ID: MST.MR.CM.01.0060 [14 points Joe Smith is considering opening a franchise of a very popular gour number of drinks sold in a day based v et fruit drink store. He is interested in constructing a multiple regression model to predict upon the volume of foot traffic passing the store, the daily maximum temperatur Information has been collected o n 3o randomly selected days for several randomly chosen stores n equation using all three explanatary variables. Assume that x1 is volume of traffic, x2 is maximum daily temperature and xa is average : show data drin k price. Give your answers to 3 decimal places. 5Explanation / Answer
Result:
a).
The calculated F=7.425, P< 0.001 which is significant at 0.05 level of significance.
The null hypothesis is rejected.
b).
For the variable Average annual temp , calculated t=0.7777, P=0.440 which is > 0.05 level. The variable is not significant. All other variables are significant .
Therefore we first remove the variable, Average annual temp.
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