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The time it takes for a planet to complete its orbit around a particular star is called the planet's sidereal year.The sidereal year of the planet is related to the distance the planet is from the star. Accompanying data show the distance of the planets from a particular star and their sidereal years. Complete part a through e. x million of miles/ y sidereal year

Planet                                Distance from the star x                     Sidereal Year, y

Planet1                                    36                                                                0.22

Planet2                                    67                                                                0.64

Planet3                                    93                                                                1.00

Planet4                                    142                                                              1.88

Planet5                                    483                                                             11.9

Planet6                                    887                                                             29.3

Planet7                                    1,785                                                          84.0

Planet8                                    2,797                                                          165.0

Planet9                                     3.675                                                         248.0

(a) Has been done.

(b) Determine the correlation between distance and sidereal year. The correlation between distance and sidereal year is (......)(Round to three decimal places as needed).

(c)  Compute the least square regression line.

(d) Plot the residuals against the distance from the star

Do you think the least squares regression line is good model?

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