In: Statistics and Probability
R | R Square | Adjusted R Square | Std. Error of the Estimate | |
.28 | .08 | .07 | 1.39 |
Sum of Squares | df | Mean Square | F | Sig. | ||
---|---|---|---|---|---|---|
Regression | 99.37 | 4 | 24.84 | 12.87 | .000 | |
Residual | 1163.52 | 603 | 1.93 | |||
Total | 1262.89 | 607 |
Unstandardized Coefficients | Standardized Coefficients | 95% Confidence Interval for B | ||||||
---|---|---|---|---|---|---|---|---|
B | Std. Error | Beta | t | Sig. | Lower Bound | Upper Bound | ||
(Constant) | .58 | 7294153.92 | .00 | .00 | 1.000 | -14325031.14 | 14325032.29 | |
Year of birth | .00 | 3618.13 | .00 | .00 | 1.000 | -7105.67 | 7105.67 | |
Age of respondent | .03 | 3618.13 | .27 | .00 | 1.000 | -7105.64 | 7105.70 | |
General happiness | .17 | .10 | .07 | 1.78 | .076 | -.02 | .37 | |
Respondents sex | -.14 | .11 | -.05 | -1.20 | .230 | -.36 | .09 |
Model | Year of birth | Age of respondent | General happiness | Respondents sex | ||
---|---|---|---|---|---|---|
Covariances | Age of respondent | 13090878.47 | 13090878.47 | .00 | ||
General happiness | 13090878.47 | 13090878.47 | .00 | |||
Respondents sex | .00 | .00 | .01 | |||
R | R Square | Adjusted R Square | Std. Error of the Estimate | |
.27 | .07 | .06 | 5.41 |
Sum of Squares | df | Mean Square | F | Sig. | ||
---|---|---|---|---|---|---|
Regression | 1336.59 | 4 | 334.15 | 11.44 | .000 | |
Residual | 17619.40 | 603 | 29.22 | |||
Total | 18955.99 | 607 |
Unstandardized Coefficients | Standardized Coefficients | 95% Confidence Interval for B | ||||||
---|---|---|---|---|---|---|---|---|
B | Std. Error | Beta | t | Sig. | Lower Bound | Upper Bound | ||
(Constant) | 47.84 | 28384680.13 | .00 | .00 | 1.000 | -55744792.19 | 55744887.87 | |
Year of birth | -.01 | 14079.70 | -.03 | .00 | 1.000 | -27651.22 | 27651.20 | |
Age of respondent | .00 | 14079.70 | .00 | .00 | 1.000 | -27651.21 | 27651.21 | |
General happiness | -1.16 | .38 | -.12 | -3.03 | .003 | -1.90 | -.41 | |
Respondents sex | -2.66 | .44 | -.24 | -6.06 | .000 | -3.52 | -1.80 |
Model | Year of birth | Age of respondent | General happiness | Respondents sex | ||
---|---|---|---|---|---|---|
Covariances | Age of respondent | 198238020.98 | 198238020.98 | .00 | ||
General happiness | 198238020.98 | 198238020.98 | .00 | |||
Respondents sex | .00 | .00 | .15 | |||
R | R Square | Adjusted R Square | Std. Error of the Estimate | |
.17 | .03 | .02 | 1.58 |
Sum of Squares | df | Mean Square | F | Sig. | ||
---|---|---|---|---|---|---|
Regression | 43.78 | 4 | 10.95 | 4.40 | .002 | |
Residual | 1501.69 | 603 | 2.49 | |||
Total | 1545.47 | 607 |
Unstandardized Coefficients | Standardized Coefficients | 95% Confidence Interval for B | ||||||
---|---|---|---|---|---|---|---|---|
B | Std. Error | Beta | t | Sig. | Lower Bound | Upper Bound | ||
(Constant) | .38 | 8286643.39 | .00 | .00 | 1.000 | -16274187.25 | 16274188.00 | |
Year of birth | .00 | 4110.44 | .00 | .00 | 1.000 | -8072.51 | 8072.51 | |
Age of respondent | .02 | 4110.44 | .17 | .00 | 1.000 | -8072.49 | 8072.53 | |
General happiness | .00 | .11 | .00 | .02 | .987 | -.22 | .22 | |
Respondents sex | -.07 | .13 | -.02 | -.52 | .606 | -.32 | .19 |
Model | Year of birth | Age of respondent | General happiness | Respondents sex | ||
---|---|---|---|---|---|---|
Covariances | Age of respondent | 16895702.12 | 16895702.12 | .00 | ||
General happiness | 16895702.12 | 16895702.12 | .00 | |||
Respondents sex | .00 | .00 | .01 | |||
R | R Square | Adjusted R Square | Std. Error of the Estimate | |
.05 | .00 | .00 | .50 |
Sum of Squares | df | Mean Square | F | Sig. | ||
---|---|---|---|---|---|---|
Regression | .40 | 4 | .10 | .40 | .809 | |
Residual | 150.80 | 603 | .25 | |||
Total | 151.20 | 607 |
Unstandardized Coefficients | Standardized Coefficients | 95% Confidence Interval for B | ||||||
---|---|---|---|---|---|---|---|---|
B | Std. Error | Beta | t | Sig. | Lower Bound | Upper Bound | ||
(Constant) | .45 | 2626004.47 | .00 | .00 | 1.000 | -5157225.15 | 5157226.05 | |
Year of birth | .00 | 1302.58 | .02 | .00 | 1.000 | -2558.15 | 2558.15 | |
Age of respondent | .00 | 1302.58 | -.01 | .00 | 1.000 | -2558.15 | 2558.15 | |
General happiness | -.02 | .04 | -.03 | -.66 | .510 | -.09 | .05 | |
Respondents sex | -.03 | .04 | -.03 | -.82 | .411 | -.11 | .05 |
Model | Year of birth | Age of respondent | General happiness | Respondents sex | ||
---|---|---|---|---|---|---|
Covariances | Age of respondent | 1696718.78 | 1696718.78 | .00 | ||
General happiness | 1696718.78 | 1696718.78 | .00 | |||
Respondents sex | .00 | .00 | .00 | |||
The hypothesis being tested is:
H0: β1 = β2 = β3 = 0
H1: At least one βi ≠ 0
The p-value is 0.000.
Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that the model is significant.
Thus, we can be 95% confident that your independent variables are explaining variance in the dependent variable among the population.
The hypothesis being tested is:
H0: β1 = β2 = β3 = 0
H1: At least one βi ≠ 0
The p-value is 0.000.
Since the p-value (0.000) is less than the significance level (0.01), we can reject the null hypothesis.
Therefore, we can conclude that the model is significant.
Thus, we can be 99% confident that your independent variables are explaining variance in the dependent variable among the population.