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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

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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 a planet is related to the distance the planet is from the star. The accompanying data show the distances o a particular star and their sidereal years. Complete parts (a) through (e) below. Click here to view the data table. Click here to view the table of critical values of the correlation coefficient. (a) Draw a scatter diagram of the data treating distance from the star as the explanatory variable. Choose the correct graph below. O A. O B. O C. OD. 250- 250-T 4000- 125 Sidereal Year 125- Sideranl Your Sidersal 125- Distance (MM mi) 2000 0 2000 4000 0 2000 4000 Distance (MM mi) 2000 4000 125 250 Distance (MM mi) - X (b) Determine the correlation between distance and sidereal year. Planet Data The correlation between distance and sidereal year is (Round to three decimal places as needed.) Does this imply a linear relation between distance and sidereal year? Planet Distance from the Star, x (millions of miles) Sidereal Year, y Planet 1 36 0.22 Yes Planet 2 67 0.62 O No Planet 3 93 1.00 Planet 4 142 1.86 (c) Compute the least-squares regression line. Planet 5 483 11.9 y =]x+() Planet 6 887 29.3 (Round the slope to three decimal places as needed. Round the intercept to one decimal place as needed.) Planet 7 1,785 82.0 Planet 8 2,797 163.0 (d) Plot the residuals against the distance from the star. Choose the correct graph below. Planet 9 3,675 245.0 O A. O B. O c. AR

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