X-rays of kidneys of normal children are used to measure the distance from the inside wall of the kidney to the spine,

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1-X-rays of kidneys of normal children are used to measure the distance from the inside wall of the kidney to the spine, a distance easily visualized the X-ray, and are sometimes useful in diagnosing kidney disease. A study was conducted in which a sample of 24 children was taken. For each child in the sample an X-ray was taken and the distance (y, in mm) was also recorded. The data appear in the next page!

a- Plot a scatter diagram of the data

b- Write the fitted regression equation

c- Estimate the variance 

d- Test the usefulness of the model by testing the hypothesis H˳: a = 0 against Hı : a ≠ 0      H˳: b = 0 against Hı: b ≠ 0

e- Calculate R²

 

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