1) At .05 level of significance, we fail to reject the null hypothesis that inte
ID: 3219423 • Letter: 1
Question
1) At .05 level of significance, we fail to reject the null hypothesis that intercept equals 0 in the population. T or F
2)The regression model is statistically significant (i.e. at least one of the predictors has a significant effect on the dependent variable). T or F
3)The confidence interval for slope coefficient was formed using a significance level of 95%. T or F
4)X is a significant predictor of Y in the population. T or F
5)57.5% of the variation in Y can be explained by variation in X. T or F
6)The test statistic corresponding to the intercept of the regression line is 1.291. T or F
1.0 Points Question 1 of 10 SUMMARY OUTPUT Regression Statistics 0.758 Multiple R R Square 0.575 0.433 Adjusted R Square 1.191 Standard Error Observations ANOVA MS F Significance F df SS 5.746 5.746 4.052 0.138 Regression Residual 4.254 1.418 Total 10 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 1.293 4.480 1.002 1.291 0.287 1.895 2.013 (0.138 0.164 0.082 0.424 0.095 Dependent variable JY Use the Excel output shown above to answer the following and all remaining TRUE/FALSE questions:Explanation / Answer
1) At .05 level of significance, we fail to reject the null hypothesis that intercept equals 0 in the population.
P-value corresponding to intercept 0.287 which is greater than 0.05 we fail to reject the null hypothesis.
So the correct option is TRUE.
2)The regression model is statistically significant.
F test statistic is 4.052
Degrees of freedom = 1, 3
Critical value = 10.128 ( Using F table)
F test statistic < critical value we fail to reject the null hypothesis.
Conclusion: The regression model is not statistically significant.
So correct option is FALSE.
3)The confidence interval for slope coefficient was formed using a significance level of 95%.
In last table, we have to give upper 95% and lower 95% confidence interval so the confidence interval for slope coefficient was formed using a significance level of 95%.
So the correct option is TRUE
4)X is a significant predictor of Y in the population.
P-value corresponding to X is 0.138 which is greater than 0.05 so X is not significance predictor of Y in the population.
So correct option is FALSE
5)57.5% of the variation in Y can be explained by variation in X.
R^2 = 0.575
So 57.5% of the variation in Y can be explained by variation in X.
So the correct option is TRUE
6)The test statistic corresponding to the intercept of the regression line is 1.291.
We have given in last table value of test statistic is 1.291
So correct option is TRUE
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