Reference no: EM137969
1. A forester wishes to predict the volume (in cubic feet) of usable lumber in a certain species of tree using the height (in feet) and diameter (in inches) of the trees. The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. The multiple linear regression model
Volume = 0 + 1(Diameter) + 2(Height) + i
is assumed to hold, where the deviations i are independent and Normally distributed with mean 0 and standard deviation . This model is fit to the data using the method of least squares and an estimate of 2 is found to be s2 = 15.07. The degrees of freedom for this estimate are
A. 28.
B. 29.
C. 30.
2. An old saying in golf is "you drive for show and you putt for dough." The point is that good putting is more important than long driving for shooting low scores and hence winning money. To explore the relation between winning, putting, and driving distance, data on the top 69 money winners on the PGA tour in 1993 are used. The average number of putts per hole for each player and their average driving distance is used to predict their total winnings using the multiple regression model
where the deviations εI are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
Based on these results, a 95% confidence interval for β2 is
A. -5341854. ± 3031678.
B. 18491.3 ± 4060.
C. 18491.3 ± 8120.
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Average number of putts per round
: Based on these results, the proportion of the variation in 1993 winnings that is explained by the average number of putts per round and driving distance
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Example on multiple linear regression model
: This model is fit to the data using the method of least squares using statistical software, and the following parameter estimates and their standard errors are obtained.
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Evaluate average driving distance
: An old saying in golf is "you drive for show and you putt for dough." The point is that good putting is more important than long driving for shooting low scores and hence winning money.
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Multiple regression model
: where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
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Regression model
: The average number of putts per hole for each player and their average driving distance is used to predict their total winnings using the multiple regression model where the deviations εI are assumed to be independent and Normally distributed with..
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Find the explanatory variables in this study
: The height and diameter of 31 trees of a certain species were measured, the trees were cut down, and the volume of usable lumber was determined. Find the explanatory variable(s) in this study are
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Projectile on the moon to reach its greatest height
: A toroidal solenoid has a mean radius of 11.0 cm and a cross-sectional area of 5.00 cm2 and is wound uniformly with 100 turns. A second coil with 500 turns is wound uniformly on top of the first. What is the mutual inductance of these coils.
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Determine the estimated final velocity of the cart
: For safety in climbing, a mountaineer uses a nylon rope that is 69 m long and 1.0 cm in diameter. Whilst supporting a 96-kg climber, the rope elongates 1.4 m. Find its Young's modulus.
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The mirror of the nearest point on the floor
: A person whose eyes are H = 1.64 m above the floor stands L = 2.3 m in front of a vertical plane mirror whose bottom edge is 38 cm above the floor. What is the horizontal distance x to the base of the wall supporting the mirror of the nearest point o..
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