2. If the independent variable is 15, what is the expected value of the dependen

Question

2. If the independent variable is 15, what is the expected value of the dependent variable?

3. What proportion of the change in the dependent variable is explained by the change in the independent variable?

4. Is this a valid linear regression model?(Explain)

156 98 300 11 125 14 SUMMARY OUTPUT Regression Statistics 17 Multiple R 0.7812096 18 R Square 0.61028844 so 19 Adjusted R Square 0.561574494 20 Standard Error 35,5381167 observations 10 21 22 23 ANOVA Sign canceF 25 Regression 1 15822.33808 15822.33808 12.52800279 0.007625514 8 10103.66192 1262 26 Residual 27 29 Coeficients Standard Error t Stat 31, XVariable 1 Lower 95.0% Upper 95.0% 102.347447 6.718300622

Explanation / Answer

from output

1) intercept of the regreesion equation =21.5725

2) expexted value =21.5725+10.123*15=173.4175

3)  proportion of the change in the dependent variable is explained by the change in the independent variable

=R2=0.6103

4)Yes as F test is significant for P value is very less.

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