logWage=B1+ B₂ educ + €, where . 1. logWage means the log of yearly wage measured in dollars. 2. educ means years of education (schooling) The regression output is given below: . reg logwage educ Source | SS df MS Number of obs = 100 F(2, 97) = 97.20 Model 0.250000 1 .246632 Prob > F = 0.0000 Residual | 0.250000 98 .002537 R-squared = 0.5000 Adj R-squared = 0.4900 Total | 20000.00 99 200.00 Root MSE = 0.0503 logwage | Coef. Std. Err. t P>|t| [95% Conf. Interval] educ | 0.40000 0.200000 2.00 0.050 0.0000000 0.800000 _cons | 5.00000 0.100000 10.00 0.000 4.8000000 5.200000

Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.

Can the average rate of change of a function be constant?

What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?

Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.