Construct a model to predict the Savings based on the following predictors: Education Level, Salary, Cars, Home, and SC Index. The dataset is below . Decide if any predictors should be removed using the p-value criterion and rerun the regression model. Compare the adjusted coefficients of determination.
| Couple | Educ Level | Salary | Cars | Home | SC Index | Savings |
| 1 | 4 | 90 | 19 | 83 | 3 | 289 |
| 2 | 2 | 95 | 35 | 134 | 3 | 1130 |
| 3 | 2 | 99 | 46 | 110 | 5 | 583 |
| 4 | 3 | 130 | 24 | 69 | 7 | 1049 |
| 5 | 4 | 126 | 42 | 153 | 7 | 612 |
| 6 | 2 | 73 | 35 | 127 | 2 | 650 |
| 7 | 3 | 111 | 34 | 98 | 7 | 675 |
| 8 | 4 | 140 | 53 | 191 | 9 | 347 |
| 9 | 2 | 52 | 33 | 119 | 2 | 420 |
| 10 | 2 | 99 | 50 | 147 | 6 | 39 |
| 11 | 4 | 101 | 40 | 132 | 3 | 5 |
| 12 | 3 | 134 | 50 | 208 | 10 | 553 |
| 13 | 2 | 62 | 36 | 91 | 1 | 659 |
| 14 | 3 | 139 | 45 | 258 | 8 | 648 |
| 15 | 4 | 84 | 21 | 221 | 4 | 5 |
| 16 | 2 | 46 | 28 | 124 | 1 | 630 |
| 17 | 4 | 104 | 40 | 184 | 2 | 698 |
| 18 | 1 | 54 | 21 | 50 | 1 | 1247 |
| 19 | 2 | 88 | 49 | 193 | 4 | 471 |
| 20 | 3 | 119 | 57 | 265 | 10 | 81 |
In: Statistics and Probability
What is the order and type of the ff PDE's.
1. (1+X^2)Uxxyy-2xy^3Uxyyy+(1+u^2)UYY=0
2.(1+U^2)Uxx-2U^2Uxy+(1+u^2)UYY=0
3.(1+X^2Y)Uxx-2UXUyUxy+(1+u^2X)UYY=0
In: Advanced Math
Fenthion is a pesticide used against the olive fruit fly in olive groves. It is toxic to humans, so it is important that there be no residue left on the fruit or inolive oil that will be consumed. One theory was that, if there is residue of the pestice left in the olive oil, it would disspate over time. Chemists set out to test that theory by taking a random sample of small amounts of olive oil with fenthion residue and measuring the amount of fenthion in the oil at 3 different times over the year0day 0, day 281, and day 365.
| SampleNumber | Group | Day | Fenthion | FenthionSulphoxide | FenthionSulphone | Time |
| 1 | 1 | 0 | 2.02 | 0 | 1.66 | 0 |
| 2 | 1 | 0 | 2.05 | 0 | 1.83 | 0 |
| 3 | 1 | 0 | 1.98 | 0 | 1.48 | 0 |
| 4 | 2 | 0 | 2.01 | 0 | 1.58 | 0 |
| 5 | 2 | 0 | 1.87 | 0 | 1.54 | 0 |
| 6 | 2 | 0 | 1.92 | 0 | 1.5 | 0 |
| 1 | 1 | 281 | 1.48 | 0.61 | 1.4 | 3 |
| 2 | 1 | 281 | 1.36 | 0.7 | 1.54 | 3 |
| 3 | 1 | 281 | 1.39 | 0.78 | 1.59 | 3 |
| 4 | 2 | 281 | 1.23 | 0.94 | 1.63 | 3 |
| 5 | 2 | 281 | 1.31 | 0.8 | 1.61 | 3 |
| 6 | 2 | 281 | 1.14 | 0.99 | 1.54 | 3 |
| 1 | 1 | 365 | 1.15 | 0.8 | 1.72 | 4 |
| 2 | 1 | 365 | 1.13 | 0.78 | 1.61 | 4 |
| 3 | 1 | 365 | 1.1 | 0.88 | 1.52 | 4 |
| 4 | 2 | 365 | 1.08 | 0.92 | 1.55 | 4 |
| 5 | 2 | 365 | 0.71 | 1.27 | 1.67 | 4 |
| 6 | 2 | 365 | 0.9 | 1.05 | 1.79 | 4 |
a. Two variables given in the data are fenthion and time. Which variable is the response variable and which variable is the explanatory variable? Explain.
b. Check the conditions necessary for conducting an ANOVA to analyze the amount of fenthion present in the samples. If the conditions are met, report the results of the analysis.
c. Transform the amount of fenthion using the exponential. Check the conditions necessary for conducting an ANOVA to analyze the exponential of the amount of fenthion present in the samples. If the conditions are met, report the results of the analysis
In: Statistics and Probability
Fenthion is a pesticide used against the olive fruit fly in olive groves. It is toxic to humans, so it is important that there be no residue left on the fruit or inolive oil that will be consumed. One theory was that, if there is residue of the pestice left in the olive oil, it would disspate over time. Chemists set out to test that theory by taking a random sample of small amounts of olive oil with fenthion residue and measuring the amount of fenthion in the oil at 3 different times over the year0day 0, day 281, and day 365.
| SampleNumber | Group | Day | Fenthion | FenthionSulphoxide | FenthionSulphone | Time |
| 1 | 1 | 0 | 2.02 | 0 | 1.66 | 0 |
| 2 | 1 | 0 | 2.05 | 0 | 1.83 | 0 |
| 3 | 1 | 0 | 1.98 | 0 | 1.48 | 0 |
| 4 | 2 | 0 | 2.01 | 0 | 1.58 | 0 |
| 5 | 2 | 0 | 1.87 | 0 | 1.54 | 0 |
| 6 | 2 | 0 | 1.92 | 0 | 1.5 | 0 |
| 1 | 1 | 281 | 1.48 | 0.61 | 1.4 | 3 |
| 2 | 1 | 281 | 1.36 | 0.7 | 1.54 | 3 |
| 3 | 1 | 281 | 1.39 | 0.78 | 1.59 | 3 |
| 4 | 2 | 281 | 1.23 | 0.94 | 1.63 | 3 |
| 5 | 2 | 281 | 1.31 | 0.8 | 1.61 | 3 |
| 6 | 2 | 281 | 1.14 | 0.99 | 1.54 | 3 |
| 1 | 1 | 365 | 1.15 | 0.8 | 1.72 | 4 |
| 2 | 1 | 365 | 1.13 | 0.78 | 1.61 | 4 |
| 3 | 1 | 365 | 1.1 | 0.88 | 1.52 | 4 |
| 4 | 2 | 365 | 1.08 | 0.92 | 1.55 | 4 |
| 5 | 2 | 365 | 0.71 | 1.27 | 1.67 | 4 |
| 6 | 2 | 365 | 0.9 | 1.05 | 1.79 | 4 |
a. Two variables given in the data are fenthion and time. Which variable is the response variable and which variable is the explanatory variable? Explain.
b. Check the conditions necessary for conducting an ANOVA to analyze the amount of fenthion present in the samples. If the conditions are met, report the results of the analysis.
c. Transform the amount of fenthion using the exponential. Check the conditions necessary for conducting an ANOVA to analyze the exponential of the amount of fenthion present in the samples. If the conditions are met, report the results of the analysis
In: Statistics and Probability
For each of the following, subsets of R decide whether or not the set has an infimum and/or a supremum. If they exist, write down the infimum and supremum, and say whether it is an element of the set. (a) [3,7)
(b) {x ∈ Q : 1 ≤ x < 5}
(c) {1, 2, 3, . . . }
(d) {. . . , 1/4, 1/2, 1, 2, 4, . . . }
In: Advanced Math
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1. |
The intensity of a sound decreases by a factor of 4. As a result, the sound intensity level decreases by ______. |
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2. |
The human threshold of pain is about how many decibels? |
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Two sinusoidal sound waves with slightly different frequencies combine to form a third sound wave called a beat. How does the amplitude of the beat change over time, or does it remain constant? |
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Two audio speakers produce, in step, the same sinusoidal sound of wavelength λ. A listening device is positioned at point Q in the room and registers no sound from the speakers. What characterizes the two sound waves as they arrive at point Q? Assume the room is anechoic (produces no echoes.) |
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5. |
At an auto race, a member of the pit crew stands beside the track. A car approaches him at 110 m/s and emits a sound at frequency 1200 Hz. The air is still and the speed of sound is 340m/s. What frequency will the pit crew member hear? |
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The frequency of the faintest audible sound is about 1,000 Hz. What is the pressure variation corresponding to this sound? |
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Two loudspeakers are placed 4.5 m apart. They produce the same sounds, in step, across a frequency range of 744 Hz to 992Hz Point P is located 5.30m from one loudspeaker and 3.60m from the other. What frequency of sound from the two speakers will produce destructive interference at point P? Assume the speed of sound is 344m/s |
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8. |
Two loudspeakers are placed 6.0 m apart. They produce the same sounds, in step, across a frequency range of 252Hz to 665Hz Point P is located 5.10m from one loudspeaker and 3.60m from the other. What frequency of sound from the two speakers will produce constructive interference at point P? Assume the speed of sound is 344m/s |
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In: Physics
1. Evaluate the 4 views as to the nature of universals and particulars.
In: Psychology
Use on 4-to-1 MUX to implement the majority function
In: Computer Science
A box contains 4 tickets. 1 ticket is numbered 0, 1 ticket is numbered 1, and 2 tickets are numbered 2. Suppose n draws with replacement are made from this box. Let Sn be the sum of the numbers drawn. a) Approximate the probability P(S100=100)
In: Math