1. The correlation between X and Y is positive. 2. X is a significant predictor
ID: 3217799 • Letter: 1
Question
1. The correlation between X and Y is positive.
2. X is a significant predictor of Y in the population.
3. 57.5% of the variation in Y can be explained by variation in X.
4. When X increases by 1 unit, the predicted value of Y increases by 1.293 units.
5. The test statistic corresponding to the intercept of the regression line is 1.291.
6. The correlation coefficient between X and Y is 0.758.
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
1True Correlation = sqrt(SS/TSS) = sqrt(5.756/10)=0.75 Hence,positive
2 False. P-value for X = 0.138 which is greater than significance level of 5%. hence, False
3) True, Since SSregression is 5.746 and total is 10. So,57.46% variation can be expained
4) false, when X increases by 1 unit, Y increases by 0.164 units
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