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Given are five observations for two variables, and . xi2 15 7 22 19 yi50 48...

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Basic Math

Given are five observations for two variables, and . xi2 15 7 2219 yi50 48 58 11 23 d. Develop the estimated regression equation bycomputing the values of and using equations: (Enter negative valuesas negative figure) (to 2 decimals) e. Use the estimated regressionequation to predict the value of y when . (to 2 decimals)

Answer & Explanation Solved by verified expert
3.9 Ratings (458 Votes)

Given data is as below-

Xi Yi
2 50
15 48
7 58
22 11
19 23

We need to develop a regression model to predict the value of y

So, Y = f(X)

The regression output is as follows-

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.847691176
R Square 0.71858033
Adjusted R Square 0.624773773
Standard Error 12.24348307
Observations 5
ANOVA
df SS MS F Significance F
Regression 1 1148.291367 1148.291367 7.660235644 0.069701474
Residual 3 449.7086331 149.9028777
Total 4 1598
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 64.42086331 11.00493453 5.853816136 0.009938266 29.39825009 99.44347653 29.39825009 99.44347653
X Variable 1 -2.032374101 0.734315317 -2.767713071 0.069701474 -4.369293168 0.304544966 -4.369293168 0.304544966

The regression equation is as follows-

Y = 64.42 - 2.03*X

Let me know if you need anything else, if not please don't forget to like the answer :)
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