Let Y be the fuel consumption needed for heating in a building (in decalitres) and X be the average outside daily temperature. Assuming that the sample data led to the following results:
n=10
Yi = 159
Y^2 = 2781
Xi = −28
X^2 = 296
yˆ = 12.943−1.056x
e^2 = 10.216
1) Find the sample mean and test the null hypothesis that the average fuel consumption is the same as last year's, which was 18 decaliters (1-alpha=0.95)
2) Comment on the regression parameters and find the value of R^2
I think , In given problem sign of summation is missed. I have solved it by considering sign of summation to Xi , Yi ,Yi^2 ,ei^2, Xi^2. Please , check that.
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