stat425fall10prcexam1-sln

# stat425fall10prcexam1-sln - 1 The Berkeley Guidance Study...

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1. The Berkeley Guidance Study enrolled children born in Berkeley, California, between January 1928 and June 1929, and then measured them periodically until age eighteen (Tuddenham and Snyder, 1954, Calif. Publ. Child Dev. ). From this study, a researcher complied a dataset, which gives height in centimeters and weight in kilograms for a sample of n = 10 18-year-old girls. Interest is in predicting weight ( y ) from height (x). Summary statistics are given below 165.52, 59.47, 472.076, 731.961, 274.786 x y SXX SYY SXY = = = = = (1) Based on the information given above, compute estimates of the slope and the intercept for the least squares regression of weight on height. (Intercept) Ht -36.8759 0.5821 (2) Obtain the estimate of 2 σ 71.50394

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(3) Compute the t-statistic for the hypotheses that 1 0 β = , and provide the corresponding degrees of freedom. -0.572 with 8 df
2. Below are scatter plots of four hypothetical datasets, labeled (a)-(d). Each plot includes the least squares line for the regression of y on x.

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stat425fall10prcexam1-sln - 1 The Berkeley Guidance Study...

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