Calculations using SPSS and interpreting the results

The table we created via SPSS for our data entry (Variable View):

The data we entered using SPSS (Data View):

From our data above, we generated a Scatter Plot for oral temperature vs axilla temperature for [Females] via SPSS:

Below is the Scatter Plot for oral temperature vs axilla temperature for [Males] via SPSS:

We also generated Pearson's R coefficients for [Females] & [Males] using SPSS in the following table:

Our table above show Pearson's correlation coefficients of 0.964 for [Females] & 0.960 for [Males].

INTERPRETING PEARSON'S r

1. The association for [Males] is r=0.960, p=0.000, N=9 and the [Female]'s association is r=0.964, p=0.000, N=21.
   
2. Since they all exceed 0.8, they indicate that there are VERY STRONG, SIGNIFICANT and POSITIVE associations between a person's oral & axilla temperatures for both [Males] and [Females] respectively.

From our data, we ALSO generated a Scatter Plot for oral temperature vs axilla temperature for BOTH [Male + Female] via SPSS:

The COMBINED table above shows the Pearson's correlation coefficient of 0.956 for [Males + Females] (ie. ALL samples). It indicates a VERY STRONG, SIGNIFICANT and POSITIVE RELATIONSHIP between oral temperature and axilla temperature for [Males + Females].

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COMPUTING THE REGRESSION LINES FOR [Female], [Male] and [Male + Female] (ie. y = mx + c)

Since a relationship exists between oral and axilla temperatures, we now perform linear regressions using SPSS to construct equations that can predict a person's oral temperature from his/her axilla temperature.

The data table below is for [Female] samples.

The linear equation for [Females] is

Oral Temp Female = 1.073 x (Axilla Temp Female) - 2.239 °C

The data table below is for [Male] samples.

The linear equation for [Males] is

Oral Temp Male = 1.116 x (Axilla Temp Male) - 3.631 °C

The data table below is for [Male + Female] samples.

The linear equation for [Male + Female] is

Oral Temp = 1.084 x (Axilla Temp) - 2.567 °C

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HYPOTHESIS TESTING


We had earlier selected the critical value or common significance level or α at 0.05.

Since the p values (red arrows) for [Males], [Females] and [Males + Females] are ALL = 0.000 which is less that our alpha of 0.05, WE REJECT OUR NULL HYPOTHESIS.

Thus, we ACCEPT our ALTERNATIVE HYPOTHESIS that THERE IS A SIGNIFICANT RELATIONSHIP BETWEEN A PERSON'S ORAL AND AXILLA TEMPERATURE (specifically a positive one).