Caption: Princess Foods wants to determine if there is a relationship in the amount a household spends on prepared foods to family size and income. Parthika: Well, we still have data collected from a previous marketing study. Let’s use that. We have an Excel file. I am sure we can find the spreadsheet. It should have the exact information we need. Liwei: Yes, this could be interesting. We may find enough evidence to rethink the meal preparation kits again. Bonnie: Great idea. We need to know it the data is a good fit and what the exact relationship is between the dependent variable and the independent variables. We can use this information to help us design perhaps a new line of prepared frozen foods. ParthikaYes, what about the prepackaged salad bowls. We really need to see this data. Bonnie: Yes, let’s get right on this.
Please use the below data to determine the equation that represents the relationship and explain the goodness of fit. Based on the data, write a detailed memo/explanation and interpret the results. How might this data be used?
| Dollars spent on Prepared food | Family size | Gross monthly income |
| 495.86 | 4 | 3126 |
| 642.77 | 5 | 3933 |
| 364.81 | 3 | 1925 |
| 619.3 | 5 | 3736 |
| 238.71 | 1 | 1453 |
| 378.94 | 2 | 2538 |
| 302.58 | 1 | 1798 |
| 231.74 | 2 | 1189 |
| 428.67 | 3 | 2247 |
| 286.99 | 3 | 1460 |
| 268.81 | 1 | 1567 |
| 329.81 | 2 | 1622 |
| 627.25 | 5 | 3828 |
| 421.52 | 3 | 2782 |
| 656.38 | 5 | 3978 |
| 400.64 | 3 | 2493 |
| 603.41 | 6 | 3753 |
| 560.69 | 4 | 3778 |
| 623 | 5 | 3609 |
| 416.12 | 2 | 2262 |
| 323.9 | 1 | 1966 |
| 418.78 | 3 | 2736 |
| 506.46 | 4 | 3274 |
| 552.53 | 2 | 3480 |
| 586.46 | 4 | 3741 |
| 637.18 | 8 | 3684 |
| 244.49 | 2 | 1476 |
| 507.19 | 5 | 2835 |
| 512.56 | 5 | 2873 |
| 312.89 | 1 | 1618 |
| 329.05 | 2 | 1565 |
| 243.49 | 2 | 1582 |
| 560.37 | 8 | 3380 |
| 599.9 | 5 | 3922 |
| 657.09 | 5 | 3845 |
| 394.82 | 2 | 2233 |
| 556.42 | 4 | 3098 |
| 596.05 | 8 | 3707 |
| 365.8 | 4 | 2071 |
| 489.08 | 3 | 3166 |
In: Statistics and Probability
For the matrix X answer the questions below. X = ( 4 8 8 ; 3 6 − 9 ), this is a 2x3 matrix
(a) Calculate XX’ and compute the corresponding Eigen values and Eigen vectors.
(b) Obtain the singular-value decomposition of the matrix X.
Note that: Eigen values for X’X are: λ1 =150, λ2 = 120, and λ3 = 0. The corresponding Eigen vectors are: eigenvector1 = 1/√30 (1 2 5),
eigenvector2 = 1/√6 (1 2 -1), and eigenvector3 = 1/√5 (2 -1 0).
In: Statistics and Probability
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Using dimensional analysis:
Client Intake:
8oz coffee with 2 tsp creamer
4 oz of water
IV fluid infusing at 50 mL/hr over 8 hours.
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Kathy is a thirty-two year old, stay-at-home mother of three children aged 4, 2, and six months. The family doesn't have much extra money each month. Kathy has no life insurance coverage, but she feels she should buy a policy to cover her life in case something happens to her and her husband would need to provide care for the children. Her husband does not think it is necessary.
What kind of life insurance policy would you suggest would be best for her to buy and why?
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How many electrons can occupy the system with l=0, l=2 and l=4. What is number of possible orientations of the orbital angular momentum with l=5? What is the smallest z-component of the orbital angular momentum?
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4-2. A plane sound wave in water at 20°C (68 F) has a sound pressure level for the incident wave of 105 dB and a frequency of 1000 Hz. The wave is normally incident on a very thick concrete wall. Determine [A] the transmission loss, dB: [B] the intensity of the incident wave and the intensity of the transmitted wave, and [C] the sound pressure level of the transmitted wave.
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3. Consider the following data for two variables, x and y.
x 2 3 4 5 7 7 7 8 9
y 4 5 4 6 4 6 9 5 11
a. Does there appear to be a linear relationship between x and y? Explain.
b. Develop the estimated regression equation relating x and y.
c. Plot the standardized residuals versus yˆ for the estimated regression equation developed in part (b). Do the model assumptions appear to be satisfied? Explain.
d. Perform a logarithmic transformation on the dependent variable y. Develop an estimated regression equation using the transformed dependent variable. Do the model assumptions appear to be satisfied by using the transformed dependent variable? Does a reciprocal transformation work better in this case? Explain.
provide answer with minitab please
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2) Basic Probability
Suppose a simple computer contains 16 memory sectors, 4 of which are read-only. We need to use 3 of the sectors.
A.) How many different samples are possible?
B.) Find the probability that none in the sample are read-only.
C.) Find the probability that exactly 2 registers in the sample are read-only.
D.) Find the probability that at least 1 sector is read-only
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Given the two lines
(x, y, z) = (4, -3, 5) + t(2, 0, -3)
(x, y, z) = (4, -3, 5) + s(5, 1, -1)
a) determine a vector equation for the plane that combines the two lines
b) parametric equations of the plane that contains the two lines
c) Cartesian equation of the plane that contains the two lines
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