ASSIGNMENT 1 MULTIPLE REGRESSION

Assignment 1 Multiple Regression



Assignment 1 Multiple Regression

Statistical Analysis

The descriptive analysis of the variables shows the assumptions of normal distribution to hold in the data. The Q-Q plot (Appendix) ananlysis helps to analyze the deviations within the normal distribution. As the normal assumptions were found in the data therefore, parametric analysis could be used for finding the significance. The multiple regression also used in the analysis to predict the variables (Confidence, perceived threat, fear of negative evaluation and perceived control). The anxiety scale has the least deviations among all the variables which can be interpreted as the sample of the atheletes posses almost a very close axiety level (Berenson, Levine and Krehbiel, 2002, pp. 66-74).

Table 1: Descriptive Statistics

Mean

Std. Deviation

Confidence

7.43

1.15

Threat

66.64

30.73

NegEval

79.03

23.45

Control

47.12

11.30

Anxiety

7.08

1.39

The pearson correlations table below shows that anxiety and confidence both varies in opposite direction i.e. increase in confidence decreases the anxiety level and the relation between the variables is not very strong in fact it is - 0.375. This variation can be assessed logically that more anxiety leads to lost confidence and control on the body. The other correlations between anxiety and threat, NegEval and control are found to be positive i.e. if one variable increases simultaneously the variation in the other variable other variable increases i.e. if the competitive anxiety increases in any athlete, the threat for his life will certainly increase (Baron, Reuben and David, 1986, pp. 1173-1182). This positive correlation is determined through the positive sign. The reason for concluding the correlations to significant is that the significance level is less than 0.05. The correlation between negative evaluation and anxiety exists on less than 0.05 significance level which shows that negative evaluation has a positive impact on anxiety i.e. increasing anxiety leads to more negative evaluation.

Table 2: Correlations of variables with competitive anxiety

Confidence

Threat

NegEval

Control

Competitive Anxiety

Pearson Correlation

-0.375

0.61

0.515

0.127

Sig. (2 - tailed)

.000

.008

.003

N

273

273

273

273

**. Correlation is significant at the 0.01 level (2 - tailed).

*. Correlation is significant at the 0.05 level (2 - tailed).

A regression analysis of the model keeping anxiety as the dependent variable which depends on confidence levels in athletes, the threat of life related to them and similarly NegEval and control. The R - square of the model is 0.714 which is not a weak correlation and therefore can represent a statistically significant model. The significant f-value i.e. 69.678 shows that the ability to indicate and control the anxiety is very high. Moreover, the F-value's high significance shows that ...