The above two tables are related to the variable WEIGHT. The first is a regressi

Question

The above two tables are related to the variable WEIGHT. The first is a regression table with 5-variables predicting the WEIGHT while the second table contains the Summary statistic related to WEIGHT data. Answer the questions (choose the most appropriate answer):

I) If you need to pick two variables and increase their value by one units, which two would you pick in such a way that the prediction changes by the largest amount? (10 points)

a. Variable 2 & Variable 4

b. Variable 1 & Variable 2

c. Variable 2 & Variable 3

d. Variable 1 & Variable 3

e. Variable 4 & Variable 5

II) If all 5 variables increase by 1 unit, according to the table what would be your prediction? (10 points)

a. The weight would be approximately 7.7 units

b. The weight would increase by approximately 7.7 units

c. The weight would increase by approximately -237.9 units

d. The weight would be approximately -237.9 units

e. None of the above

III) Which number describes the variation of variable weight the best? (numbers are rounded) (10 points)

a. 178.9

b. 29.4

c. 176.5

d. 8.1

e. 0.92

SUMMARY OUTPUT WEIGHT 178.9244 18513431 176.5 184.25 Standard Deviatio 29.38916 Sample Variance 863.72272 5.2695136 12052629 244.65 118.5 363.15 45088.95 252 Lower 95% j00er 959e Lower 95.0% Upper 95.0% 263.2526056-228.00975 2.297256194 29989292 0.698733863 02381981 1.316577123 29195035 0.474084827 19941073 1.43546679 24953881 Regression Stotistics Mean Standard Error Median Mode 0.9619331 0.9253153 Multiple R R Square Adjusted R Squa 0.9237973 Standard Error8.1128299 Observations KurtosiS Skewness Range Minimum Maximum ANOVA MS ignificance F 5 200603.17 40120.634 609.56925 2.37E-136 Regression Residual Total 246 16191.23 65.818009 251 216794.4 um Count Coefficients itandard Erro tStot P-value ntercept X Variable 1 X Variable 2 X Variable 3 X Variable 4 X Variable 5 245.631188.9464582 -27.455689 7.273E-77-263.25261 -228.01 2.6480927 0.1781209 14.86683 4.198E-36 2.2972562 2.99893 0.2302679 0.2378418 -0.9681558 0.3339174 -0.6987339 0.2382 2.1180403 0.4069056 5.2052382 4.089E-07 1.3165771 2.9195 1.2340961 0.38586023.198298 0.0015638 0.4740848 1.99411 1.9654275 0.2690628 7.3047161 3.856E-12 1.4354668 2.49539

Explanation / Answer

Question 1

Answer is D

i.e variable 1 & variable 3.

since these two variables have large coefficients as compared to other.

Question 2

Answer is B

the weight would increased by approximately 7.7 units.

Question 3

Answer: E

coefficient of multiple determination (R2)= 0.92 describes the variation of weight the best.

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