The following data represent survival time in days after a heart transplant and patient age in years at the time of transplant for 10 randomly selected patients.

(a) Find the least-squares line appropriate for these data.
(b) Plot the points and graph the line.
(c) Calculate the 95% confidence intervals for β0 and β1, respectively.

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Age at transplant Survival time, in days 7 278 44 48 406 382 1995 176 323 1846 t 2841 46 53 39 36 47 29 4844