Find the mean and standard deviation for alcohol consumption in this data set. R

Question

Find the mean and standard deviation for alcohol consumption in this data set. Round your answers to three decimal places.

Mean =  

Standard deviation =

4.56

Use SPSS to find the estimated regression model, and answer the following questions. Report your answers to 3 decimal places.

b0 =  

b1=  

MSE =  
Note, MSE is mean square error, i.e. mean square residual. It is in the ANOVA table output.

The value of the test statistic which tests the null hypothesis H0: 1 = 0 is:  

The p-value for the above test is:  

The interpretation of the result of this statistical test using = 0.05 is:

A) p-value < ; alcohol and tobacco consumption are not significantly correlatedp-value < ; alcohol and tobacco consumption are significantly positively correlated   

B) p-value < ; alcohol and tobacco consumption are significantly negatively correlated

C) p-value > ; alcohol and tobacco consumption are not significantly correlatedp-value > ; alcohol and tobacco consumption are significantly positively correlated

D) p-value > ; alcohol and tobacco consumption are significantly negatively correlated

Column1 Region Alcohol Tobacco 1 North                6.47 4.03 2 Yorkshire            6.13 3.76 3 Northeast            6.19 3.77 4 East Midlands        4.89 3.34 5 West Midlands        5.63 3.47 6 East Anglia          4.52 2.92 7 Southeast            5.89 3.2 8 Southwest            4.79 2.71 9 Wales                5.27 3.53 10 Scotland             6.08 4.51 11 Northern Ireland     4.02

4.56

Explanation / Answer

The statistical software output for mean and SD is:

Summary statistics:

Hence,

Mean = 5.444

Standard deviation = 0.798

The statistical software output for regression is (Assuming Alcohol consumption as dependent variable):

Simple linear regression results:
Dependent Variable: Alcohol
Independent Variable: Tobacco
Alcohol = 4.3511685 + 0.30193836 Tobacco
Sample size: 11
R (correlation coefficient) = 0.22357211
R-sq = 0.04998449
Estimate of error standard deviation: 0.81963003

Parameter estimates:

Analysis of variance table for regression model:

Hence,

bo = 4.351

b1 = 0.302

MSE = 0.672

Test statistic = 0.688

P - Value = 0.5087

Interpretation: The correct answer is Option C.

Column Mean Std. dev. Alcohol 5.4436364 0.79776278

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