# Bivariate Analysis: Linear Relationship Between X And Y

Improved Essays
IV. Analyses
A. Bivariate Analysis
Using Figure 1, 2, and Table 2, I discover that the correlation coefficients and linear relationship between the X and Y variables are not as strongly positive as I had thought. In fact, the correlation coefficient is negative with a very small absolute value. Both X_1 and X_2 have a slightly negative correlation coefficient of -0.05 with dependent variable Y. This indicates as the amount of acquirer initiations increase, sale premia will remain almost the same as it was before those initiations occurred. Similarly, as the target initiates contact with more potential acquirers, it will see hardly any change in sale premium. This evidence conflicts with my theory that more contacts lead to higher sale premia.
Multivariate Analysis
The results from my multivariate analysis (See Table 3) are similar to the results of my bivariate analysis. Ultimately, my dependent variable has little relation to my independent
The coefficient of determination moves from 0.01 to 0 (with rounding) for equations 2 and 3 and the Adjusted R2 is still negative at -0.02. This means that in these equations the linear relationship between my X and Y variables is even worse than the linear relationship for equation 1. In addition, there are no significant changes in the slope coefficients (β_1and γ_2) for X_1 and X_2. This indicates a consistency among my regressions that provides further evidence to accept my null hypothesis that the more contacts improve sale premia.
At all levels of alpha and with all equations, the F-test requires that I accept the null hypotheses that H_0: α_1=0 and H_0: α_2=0. The p-value for equation 2 is 0.7 and the p-value for equation 3 is 0.74. These p-values are much higher than all the applicable levels of alpha. Thus, I accept the null. In other words, the amount of acquirer initiations and the amount of potential acquirers that the target contacts has no effect on the sale premia.
Multicollinearity does not substantially affect my regression. In fact, the correlation coefficient between my two independent variables is -0.16. This is within the non-problem range of -0.7 and +0.7. Consequently, the results of this equation are applicable and my X_1 and X_2 have little

## Related Documents

• Great Essays

The probability of getting a critical ratio as large as 2.961 in absolute value is less than 0.003. In other words, the regression weight for Perceived Quality towards Purchasing Decision is significantly different from zero at the 0.01 level (two-tailed). Thus the hypothesis of Perceived Quality towards Purchase Decision is significant and supported by the data. The next data as can be seen from the table 4.7 above is the P value of Brand Awareness is 0.926. This means the probability of getting a critical ratio as large as 0.093 in absolute value is 0.926.…

• 1896 Words
• 8 Pages
Great Essays
• Improved Essays

Interestingly, the mean amplitude of Graph 2 shows slightly a significant change between modality, the paired samples t-test provided no significant effect except FC2. The source memory over FC2 was the most positive waveform of FN400 than others (Graph 2). Thus, it has been found that acoustic brands had a larger negative amplitude than visual brands at FC2, even though the amplitudes not seen in this Graph 2 due to more positivity, paired samples t-test found a significant difference t(30) = 2.31, p = .028, but not at F1 t(30) =1.48, p = .153 (Figure 2, Graph 2). As a conclusion, the modality effect could not determine according to peak amplitude except FC2 which visual brands had larger positive peak than…

• 1822 Words
• 8 Pages
Improved Essays
• Improved Essays

The higher the standard deviation the less disperse the data is found to be. Ease of return/exchange had the highest standard deviation coming in at 2.066. No obvious outliers in the results were found to sway the thought process that this was not the most important attribute to consumers. Meanwhile, observations lead one to believe that the least important attribute fell to clean stores and surroundings. It held the lowest deviation at 1.774 indicating the greater dispersion leading one make the decision that the populace was not to one extreme or another.…

• 1337 Words
• 5 Pages
Improved Essays
• Improved Essays

This shows that the addition of Nobel variable has essentially lowered the R-square value and hence the addition of Nobel to model is not significant. It could also be noted from the very high p-value of Nobel (0.45644), which is quite high and more than 0.05 (Significance level assumed to be 95%). Hence, this further confirms the analysis that variable (Nobel) is not significantly determining the no. of tickets sold. Model 6: Using Interaction variables We tried to model the regression using interaction variables.…

• 2499 Words
• 10 Pages
Improved Essays
• Improved Essays

If the ratio is bigger than 2 then dummy is equal to 1. The coefficient on the interaction term between the ADR and performance is negative and significant when the LTO dummy is equal to 1. It suggests that cross-listed firms from countries with the higher LTO value become more sensitive to the poor performance compared with the non-cross-listed firms from the same country. For the firms in the countries with lower than US LTO index, the interaction term is positive, which means the firms become less sensitive to the poor performance. In Table 4-b I run the same regression for the sample without Canadian firms and the results hold without any change.…

• 734 Words
• 3 Pages
Improved Essays
• Improved Essays

The probability of obtaining the difference of between the variables, if the null hypothesis were true, is extremely low. Slide 14: An independent Samples t-test is appropriate to use if we are determining if a statistically significant difference in the dependent variable occurs between two groups, using a post-test only two group design. Slide 15: Let’s talk about the independent samples t-test, the test that is used to compare the means between two groups. As with any test, we always have assumptions and we try not to violate these…

• 1875 Words
• 8 Pages
Improved Essays
• Decent Essays

The null-hypothesis is that there is no significant difference in sales performance between males and females. Before we get to the T-value, Levene’s test for equality of variance must conducted. In SPSS, if Levene test produces a significant figure greater than 0.05, then homogeneity of variance is hold, and the top-row corresponding T value is selected. In both weeks homogeneity of variance is hold. In week 1, the T-value (df=95) is 1.848.…

• 997 Words
• 4 Pages
Decent Essays
• Decent Essays

Furthermore, the significance level of this relationship is as high as 0.640, which affirmed that there is no significance relationship between leadership participation and job satisfaction. Hence, Hypothesis 3 is rejected as well. H4: There is a significant relationship between ethical leadership behaviour and job satisfaction. Looking at the last table, Hypothesis 4 is accepted. The relationship between ethical leadership behaviour and job satisfaction is found to be significant at the significance level of .000, which is lesser than .05.…

• 747 Words
• 3 Pages
Decent Essays
• Improved Essays

The research was based on 6 experiments and the conclusion was “zero is a unique number, reward, price, and probability” (xxx zero as a special price). One of the 6 experiments that supports the conclusion of the study asked consumers to make a decision to buy Hershey’s, Lindt truffle, or nothing. When the prices of Hershey’s and Lindt were decreased from 1c and 15c to 0c and 14c respecively, the demand for Hershey’s increases significantly while the demand for Lindt decreases significantly. Moreover, there was only a slight change in demand for Hershey’s and a significant change in Lindt when the prices dropped from 0c&14c to 0c&10c. All this shows that the reduction of a price to zero is more powerful than a five-times-larger price reduction that remains within the range of positive prices.…

• 1516 Words
• 7 Pages
Improved Essays
• Improved Essays

And hence from the above table it is inferred that there is no significant difference between agency support and experience in dealership. From the above table P.Value (0.549) is greater than (0.05) the null hypothesis (H10) is accepted. And hence from the above table it is interfered that there is no significant difference between advertisement and experience in…

• 1482 Words
• 6 Pages
Improved Essays