STAT670: Introductory Statistics

Added on - May 2020

Trusted by 2+ million users,
1000+ happy students everyday
Showing pages 1 to 3 of 9 pages
Running head: STATISTICSStatisticsName of the student:Name of the university:Author’s note:
1STATISTICSTable of ContentsAnswer 1..........................................................................................................................................2Part a............................................................................................................................................2Part b............................................................................................................................................2Part c............................................................................................................................................2Answer 2..........................................................................................................................................2Answer 3..........................................................................................................................................3Part a............................................................................................................................................3Part b............................................................................................................................................3Answer 4..........................................................................................................................................4Answer 5..........................................................................................................................................4Answer 6..........................................................................................................................................4Part a............................................................................................................................................4Part b............................................................................................................................................4Part c............................................................................................................................................5Answer 7..........................................................................................................................................5Answer 8..........................................................................................................................................5Part a............................................................................................................................................5Part b............................................................................................................................................6Part c............................................................................................................................................6Answer 9..........................................................................................................................................6Part a............................................................................................................................................6Part b............................................................................................................................................6Part c............................................................................................................................................7Answer 10........................................................................................................................................7Part a............................................................................................................................................7Part b............................................................................................................................................7Part c............................................................................................................................................7Part d............................................................................................................................................7
2STATISTICSAnswer 1Part aSource ofVariationSum of squaresDegrees ofFreedomMean SquareFBetweentreatments903¿903=30¿306=5Withintreatments(Error)12020¿12020=6Total= (90 + 120)= 210= (3+20)=23Table 1: ANOVA tableThe calculated F-statistic is 5. The p-value for the F-statistic at 3 and 20 degrees offreedom is 0.00951034. At 1% level of significance (α=0.01), as calculated p-value is lessthan 0.01. Hence, we reject the null hypothesis.Part bNumber of Groups = (degrees of freedom of between treatments) + 1 = (3+1) = 4Hence, there are 4 groups in the problem.Part cNumber of observations = (degrees of freedom of within treatment) + 1= (20+1) = 21There are 21 observations in the problem.Answer 2Simple linear regression model:CoefficientsStandardErrort StatP-valueLower95%Upper95%Intercept13613.769.8810.000104.2621167.7379Year (t)39.182.2217.6640.00034.066844.29684Table 2: Linear Regression ModelThe simple linear regression, Y =β0+β1*X.Here, the calculated intercept (β0) =136, the calculated slope (β1) = 39.18.According to the table 2, the estimated number of units sold by the auto manufactureris:Number of Units sold (‘000s) = 136 + 39.18*Year
Desklib Logo
You are reading a preview
Upload your documents to download or

Become a Desklib member to get access