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- Which of the independent variables retains the strongest association with the number of children a respondent has when all other variables in the model are controlled?Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained:The regression equation is *****PredictorCoef StDev t-ratio p-valueConstant1.7586 0.2525 6.9648 0.0000AGE 0.2124 0.3175 * 0.5042MIL -0.75270.3586 -2.0991 **ENG 4.8124 0.6196 7.7664 0.0000Analysis of VarianceSource DF SS MS F pRegression3 413.1291 138.7097*** 0.00Error 50 457.7607 2.2888Total 53a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, ‘***’and ‘***’. d) Hence…Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained: a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, and ‘***’. d) Hence test whether ? is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.
- Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager or emt company wants to know how different variables affect the sales of his vehicles. A random sampie of yearly data was taken with the view to testing the model: SALES=a+BAGE+YMIL+SENG Where SALES= amount that vehicle is sold for($000's). AGE = age of the vehicle, MIL- hens mheage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained: a The regression equation is ***** Coef StDev t-ratio p-value Predictor Constant 1.7586 0.2525 6.9648 0.0000 AGE 0.2124 0.3175 0.5042 ** MIL -0.7527 0.3586 -2.0991 7.7664 0.0000 ENG 4.8124 0.6196 R-sq=56.1% R-sq(adj) =59.8% Analysis of Variance MS F Source DF 0.00 *** 3 413.1291 138.7097 Regression 50 457.7607 2.2888 Error Total 53 a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values…Suppose that experiment to see if taking vitamin C, vitamin D, or both, help prevent or reduce cold symptoms was conducted based on a random sample of 1981 individuals, Subjects were assigned to receive vitamin C only, vitamin D only, vitamin C and D, or placebo, and then were monitored for the duration of the cold season to see if they developed a cold or not. The results were tabulated in a two-way table in which the column variables were the vitamin supplements and the row variables were the cold responses. Researchers then conducted a chi-square test for independence to see if cold responses and vitamin supplements are dependent. How many degrees of freedom does the chi-square statistic have? df=Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the company wants to know how different variables affect the sales of his vehicles. A random sample of yearly data was taken with the view to testing the model: SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the total mileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained: The regression equation is ***** Coef StDev t-ratio p-value Predict or Constant 1.7586 0.2525 6.9648 0.0000AGE 0.2124 0.3175 * 0.5042MIL -0.7527 0.3586 -2.0991 **ENG 4.8124 0.6196 7.7664 0.0000R-sq=56.1% R-sq(adj)…