TRUE OR FALSE: 1. Estimated regression equation is: y^=1.293+.164X 2. At .05 lev
ID: 3219134 • Letter: T
Question
TRUE OR FALSE:
1. Estimated regression equation is: y^=1.293+.164X
2. At .05 level of significance, we fail to reject the null hypothesis that intercept equals 0 in the population.
3. The regression model is statistically significant (i.e. at least one of the predictors has a significant effect on the dependent variable)
4. The confidence interval for slope coefficient was formed using a significance level of 95%.
5. The correlation between X and Y is positive.
6. The test statistic corresponding to the intercept of the regression line is 1.291.
SUMMARY OUTPUT Regression Statistics Multiple R 0.758 R Square 0.575 0.433 Adjusted R Square 1.191 Standard Error Observations ANOVA df SS MS F Signifi F ficance 0.138 Regression 5.746 5.746 4.052 4.254 1.418 Residual Total 10 Coefficients Standard Error t Stat P-value Lower 95% er 95% 1.002 1 0.287 1.291 1.293 1.895 4.480 Intercept 0.164 -0.095 0.424 0.082 2.013 0.138Explanation / Answer
Please award full marks if you have found answers to every part.
Answers to every part, and how to find them:
1. Estimated regression equation is: y^=1.293+.164X
TRUE, see the last table, under coefficients
2. At .05 level of significance, we fail to reject the null hypothesis that intercept equals 0 in the population.
TRUE, p value is above .05. See 4th column in last table.
3. The regression model is statistically significant (i.e. at least one of the predictors has a significant effect on the dependent variable)
FALSE, its .138 i.e above .05 (see in 2nd table)
4. The confidence interval for slope coefficient was formed using a significance level of 95%.
TRUE, in last table you can see the interval -it' 95%
5. The correlation between X and Y is positive.
TRUE, R = 0.758 is positive and slope is also postitive. These 2 indicators are enough to conclude corr>0
6. The test statistic corresponding to the intercept of the regression line is 1.291.
TRUE, 4th row, last table, t value=1.291
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