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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?
Each of the numbers 0 through 30 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
Band A charges $600 to play for the evening. Band B charges $350 plus $1.25 for each ticket sold. Write a linear equation for the cost of each band. Graph each equation and find the number of tickets for which the cost of two bands would be equal.
Find the critical value for this hypothesis test.
A large koi pond is filled with a garden hose at a rate of 10 gallons per minute. After 5 minutes the pond has 475 gallons of water. Find a linear equation that models the number of gallons y of water in the pond after t minutes.
Matrices are the most common and effective way to solve systems of linear equations. However, not all systems of linear equations have unique solutions. Before spending time trying to solve a system, it is important to establish whether it in fact..
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The Chi square test
A student is randomly selected, and it is found that the student is enrolled in accounting. What is the probability that this student is also enrolled in statistics?
show that the given relations are contradictions.show that the following are contradictions a p lambda q lambda p nu q
At East Zone University (EZU) there are 575 students taking College Algebra or Calculus. 345 are taking College Algebra, 302 are taking Calculus, and 72 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?
A plane has an airspeed of 195 miles per hour and a heading of 20°. The ground speed of the plane is 207 miles per hour, and its true course is in the direction of 36°. Find the speed and direction of the air currents, assuming they are constants.
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