To complete this Application Assignment, use the datasetanscomb.sav and SPSS to answer the following questions: Problem 9.1: 1.Produce the scatterplot for x3 and y3. Do you think there are any...

Problem 9.1:
1.Produce the scatter plot for x3 and y3. Do you think there are any outliers?
Ans:
SPSS Step: GraphsChart BuilderScatter Plot
The Obtained Plot is given below.

Here we can see there is almost a linear relation between X3 and Y3 except a point whereY3 is taking pretty high valu
e. From the given observations we can identify that point is corresponding to the 3
rd
observation.
So from the obtained “Scatter-Plot” we can say there exists an outlier corresponding to the 3
rd
observational point.
2.Calculate the correlation coefficient (r) for all the data points.
Ans:
SPSS Step: AnalyzeCorrelateBivariate Select Pearson’s correlation coefficient and variables.
Obtained result is,
Correlations
x3 y3
x3
Pearson Correlation 1 .816
**

Sig. (2-tailed)

.002
N 11 11
y3
Pearson Correlation .816
**
1
Sig. (2-tailed) .002

N 11 11
**. Correlation is significant at the 0.01 level (2-tailed).
Here we can see the correlation coefficient is 0.816 which is almost near to 1. So from the obtained result it is clear t
hat there is highly positive correlation between X3 and Y3.
3.What does the p-value in your SPSS output tell you?
Ans:
From the definition of “p-value” is
“In statistical hypothesis testing, the p-value is the probability of obtaining a test statistic at least as extreme as the
one that was actually observed, assuming that the null hypothesis is true.”
So from the observations and the null and alternate hypothesis we can calculate the “p-value” and make the conclusi
on regarding the hypothesis.
If α is the level of significance for a test then we reject the null hypothesis if...