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a) Histogram
No the variable ahe is normally distributed.
According to the Jarque-Bera test,
H0: X is normal
H 1: X is not normal
P-value =0.0000
Hence it is insufficient to reject the null hypothesis that X is normal at 1%, 5%, 10%
significant level.
b) scatter diagram.
It’s heteroskedasticity. Spread change with age.
C) Estimated intercept is 3.324. Slope coefficient is 0.4519
d)3.324+0.451931*26=15.074 3.324+0.451931*30=16.882
e) critical values:
H0: β1＝0 H1: β1≠0
̂ −0
𝛽
0.4519
1
𝑡 − 𝑠𝑡𝑎𝑡𝑖𝑠𝑡𝑖𝑐 = 𝑆𝐸(𝛽
̂ = 0.032967 = 13.7076＞1.96
1)
P-value: 0.0000 We reject H0
Confidence interval:
[0.4519-1.96x0.033, 0.4519+1.96x0.033]
[-0.1949, 1.098]
f) R2＝0.02254
g) Estimated intercept is 13.80961. Slope coefficient is 6.497478
h) Estimated intercept is 17.77262. Slope coefficient is -2.414054