Question

3. (1 + 2 + 2 = 5 marks) The power company wants to develop the model to predict the amount of electricity used by a house. An engineer of a company proposed the following multiple regression model y = ?? + ??x? + ??x? + ??x? + ?, where y = the amount of electricity (in specific units) used by a house per day, x? = the heated area of a house in square meters, x? = the mean outside temperature in degrees of Celsius, x? = the mean number of hours of sunlight per day To estimate multiple regression model, a random sample of 14 houses was randomly selected from the houses in the certain area. The MINITAB multiple regression program was used and the following computer output was obtained: Predictor Coef SE Coef T Constant 357.00 2,235.00 0.16 x? 0.8082 0.3178 5.87 x? -16.61 28.23 - 0.59 x? - 0.016 0.014 -1.143 S = 267.7 R – Sq = 82.0 % Analysis of variance Source DF SS MS F Regression 3 3271175 1090392 15.22 Residual Error 10 716459 71646 Total 13 3987635 a. In the context of given problem interpret the regression coefficient ???. b. Do the data provide sufficient evidence to conclude at the 5% significance level that the model is useful in predicting the amount of electricity (in specific units) used by a house per day? c. Do the data provide sufficient evidence to conclude at the 5% significance level that the amount of electricity (in specific units) used by a house per day age and the mean outside temperature in degrees of Celsius are negatively linearly related?

3. (1 + 2 + 2 = 5 marks)
The power company wants to develop the model to predict the amount of electricity used by a house. An engineer of a company proposed the following multiple regression model y = ?? + ??x? + ??x? + ??x? + ?, where
y = the amount of electricity (in specific units) used by a house per day,
x? = the heated area of a house in square meters,
x? = the mean outside temperature in degrees of Celsius,
x? = the mean number of hours of sunlight per day
To estimate multiple regression model, a random sample of 14 houses was randomly selected from the houses in the certain area. The MINITAB multiple regression program was used and the following computer output was obtained:
Predictor Coef SE Coef T
Constant 357.00 2,235.00 0.16
x? 0.8082 0.3178 5.87
x? -16.61 28.23 - 0.59
x? - 0.016 0.014 -1.143
S = 267.7 R – Sq = 82.0 %
Analysis of variance
Source DF SS MS F
Regression 3 3271175 1090392 15.22
Residual Error 10 716459 71646
Total 13 3987635
a. In the context of given problem interpret the regression coefficient ???.
b. Do the data provide sufficient evidence to conclude at the 5% significance level that the model is useful in predicting the amount of electricity (in specific units) used by a house per day?
c. Do the data provide sufficient evidence to conclude at the 5% significance level that the amount of electricity (in specific units) used by a house per day age and the mean outside temperature in degrees of Celsius are negatively linearly related?

Added by Luisa T.

Question

Please give Ace some feedback