Use the normal equations to directly apply the least squares method (that is, do not use a transformation or Excel’s built in trendline function) to the given data for the indicated model. Compute D and dmax as bounds for cmax; what do these bounds suggest about improving the fit by using the Chebyshev criterion?

x 1 2 3 4 5

y 1 1 2 2 4

a. y = ax + b

b. y = ax2

Analyze the deviations for each model. Which model is a better fit? Support your conclusions

Select True or False

   True    False      1. Conclusions and estimates about a population based on sample data are not always going to be correct. For this reason measures of reliability, such a significance level and confidence level, should be built into the statistical inference.

   True    False      2. The confidence level is the proportion of times that an estimating procedure will be wrong.

   True    False      3. Statistical inference is the process of making an estimate, prediction, or decision about a population based on sample data.

   True    False      4. A summary measure that is computed from a population is called a parameter.

2)What are the main things that shift the consumption schedule?  Note that changes in income don’t shift it because that is built into the slope.  List the things and think about the intuition of how they would affect your own consumption.

3)Consider Investment Demand. What is on the vertical axis? Note: I recommend thinking of the interest rate firms pay to borrow rather than the expected return (the book uses both terms on the vertical axis).  Explain why firms do more investment expenditure when the interest rate drops.

In the reading “A Joint Urban Planning and Public Health Framework: Contributions to a Health Impact Assessment” by Northridge et al., authors ask the question: What are the consequences of inadequate housing? Drawing on the other readings (re: social and built environments) explore this idea and try to answer this question.

Northridge, M. E., & Sclar, E. (2003). A joint urban planning and public health framework: Contributions to health impact assessment. American Journal of Public Health, 93(1), 118-21. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1447705/

Please match the following prevention activities for metabolic syndrome with the level (primary, secondary, tertiary) and focus (individual vs. population). City planning for a built environment that favors walking and biking Answer 1 Nutrition and exercise counseling Answer 2 Screening for diabetes at a doctor's office Answer 3 A physician's referral to cardiac rehabilitation clinics Answer 4 A community exercise group for those diagnosed Answer 5 System-wide Integration of smoking cessation programs with clinics treating diabetic, coronary heart disease and stroke patients.

Write your own routine to solve a system of n linear equations and n unknowns using the LU decomposition. Input should take an augmented matrix and the number of equations n. Output should be the augmented matrix. L and U matrices and the solution. Also compare your results to those of Matlab’s built in LU decomposition. Use your code to solve the systems given as (a) and (b) below: a) 3a − 2b + c = −3, a − 4b + 2c + 2d = 6, a + 3b = 5, −3a + 7b + 9c + d = 5

HR Industries (HRI) has a beta of 1.5, while LR Industries's (LRI) beta is 0.7. The risk-free rate is 6%, and the required rate of return on an average stock is 13%. The expected rate of inflation built into r_RF falls by 1.5 percentage points; the real risk-free rate remains constant; the required return on the market falls to 10.5%; and all betas remain constant. After all of these changes, what will be the difference in the required returns for HRI and LRI? Round your answer to two decimal places.

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The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks under a stress of 9.2 × 108 N/m2 and a strain of 2.00. Initially, it was horizontal and had a length of 3.5 cm and a cross-sectional area of 9.5 × 10-12 m2. As the thread was stretched under the weight of the insect, its volume remained constant. If the weight of the insect puts the thread on the verge of breaking, what is the insect's mass? (A spider's web is built to break if a potentially harmful insect, such as a bumble bee, becomes snared in the web.)