I was told to use SPSS program for this assignment. Included are pictures of the

Question

I was told to use SPSS program for this assignment. Included are pictures of the output that the program gave me. I am having trouble understand this output to answer the following questions:

1) What is the correlation between the two data sets?

2) What is the b weight for variable b?

3) What is the derived regression equation?

4) What is the SEE of your equation?

5) Is your equation statistically significant? How do you know?

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Descriptives, Correlation, & Regression Problem 3 NEW FILE DATASET NAME Datasetl NINDOX FRONT Under programs open IBM SPSS Statistics. Create a new dataset. Enter the followi SCRIPTIVES VARIABLES a b data into the Data Editor spreadsheet. Please Note: /STATISTICS MEAN STDDEV MIN MAX No subjects column is needed Descriptives -Label the data "a" "b" Dataset Descriptive Statistics 33 66 58 63 55 CORRELATIONS 50 /VARIABLES-a PRINT- no?AIL NOSIG /MISSING PhIRNIS Correlations Once you have entered the data run the following analysis: 1) Run your descriptive statistics Go to 'Analyze then 'Descriptive Statistics' then Descriptives' Pearson Correlation a" and "b" to the right variable box Move both the columns Sig (2-tailed) 2) Run a correlation between the two data sets. Go to 'Analyze then come late them "Bivariate Move both the columns "a" and "b" to the right variable (s) box Correlation is sign fcant 001 level 2-tailed). Click OK REGRESSION 3) Run a simple regression. /MISSING LISTHISE Go to 'Analyze' then "Regression' then Linear /STATISTICS coEFE OUTS R ANOVA CRITERIA B Move the "a column to the dependent variable box. Then move the "b NOORIG. column to the independent variable box. DEFENDEN? METHOD ENTER b Click OK 4) Go under 'File' and 'Print' your output Regression variables Entered Removed Variables Removed Enter Dependent Variable a b. All requested variables entered Model S a Predictors (Constant), b ANOVA a. Dependent variabl b. Predictone: (Constant), b Coefficients a Dependent Vari

Explanation / Answer

1. Correlation between two data sets is 0.94. Correlation beween two data sets is positive corraltaion of very high degree.

2. Weight of variable b is nothing but the regression coefficient for b. Here it is 1.006

3. The derived regression equation is

Y = 5.039 +1.006X

4. SEE, standard error of estimate is 5.27502

5. The fitted regression equation is statistically significant if corresponding F test results are significant.

Here for fitted regression equation the F-test statistic value is 30.458 (From ANOVA table ) and p-value is 0.005.

We reject the null hypothesis at 0.05 level of significance if p-value < 0.05

Here p-value is 0.005 < 0.05 hence we reject the null hypothesis at 0.05 level of significance and conclude that fitted regression equation is signficant.

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