a. find the regression equation for the data points. b. graph the regression equation and the data points. c. describe the apparent relationship between the two variables under consideration. d. interpret the slope of the regression line. e. identify the predictor and response variables. f. identify outliers and potential influential observations. g. predict the values of the response variable for the specified values of the predictor variable, and interpret your results. In the article “The Human Vomeronasal Organ. Part II: Prenatal Development” (Journal of Anatomy, Vol. 197, Issue 3, pp. 421-436), T. Smith and K. Bhatnagar examined the controversial issue of the human vomeronasal organ, regarding its structure, function, and identity. The following table shows the age of fetuses (x), in weeks, and length of crown-rump (y), in millimeters. For part (g), predict the crown-rump length of a 19-week-old fetus.

$$\begin{array}{l|llllllllll} \hline x & 10 & 10 & 13 & 13 & 18 & 19 & 19 & 23 & 25 & 28 \\ \hline y & 66 & 66 & 108 & 106 & 161 & 166 & 177 & 228 & 235 & 280 \\ \hline \end{array}$$

Find the derivative of each function by using the Product Rule. Simplify your answers. $f(x)=(2 x-1)\left(1-x^{2}\right)$

Find the derivative of each function. $f(x)=\left[\left(3 x^{2}-1\right)^{3}+x^{3}\right]^{2}$

Mary Ann and Abigail were shopping for prom shoes and wondered how the prices at Payless compared to the prices at Famous Footwear. At each store, they randomly selected 30 pairs of shoes and recorded the price of each pair. The table shows summary statistics for the two samples of shoes.

$$\begin{array}{|l|c|c|} \hline \text { Store } & \text { Mean } & \text { SD } \\ \hline \text { Famous Footwear } & \$ 45.66 & \$ 16.54 \\ \hline \text { Payless } & \$ 21.39 & \$ 7.47 \\ \hline \end{array}$$

Do these data provide convincing evidence at the $\alpha=0.05$ significance level that shoes cost less, on average, at Payless than at Famous Footwear?

What is the minimal sample size needed for a 99% confidence interval to have a maximal margin of error of 0.06 f there is no preliminary estimate for p?

For a random sample of 36 data pairs, the sample mean of the differences was 0.8. The sample standard deviation of the differences was 2. At the 5% level of significance, test the claim that the population mean of the differences is different from 0. Is it appropriate to use a Student's t distribution for the sample test statistic? Explain. What degrees of freedom are used?

Name and briefly describe the layers of the epidermis.

Through what tube does urine leave the kidney?

List all 10 possible SRSs of size n = 2, calculate the proportion of females for each sample, and display the sampling distribution of the sample proportion on a dotplot.

The following data are based on information taken from Daily Creel Summary, published by the Paiute Indian Nation, Pyramid Lake, Nevada. Movie stars and U.S. presidents have fished Pyramid Lake. It is one of the best place s in the lower 48 states to catch trophy cutthroat trout. In this table, x = numb er of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who catch x fish in a 6-hour period while fishing from shore.

$$\begin{matrix} \text{x} & \text{0} & \text{1} & \text{2} & \text{3} & \text{4 or more}\\ \text{}{\%} & \text{}{44\%} & \text{}{36\%} & \text{}{15\%} & \text{}{4\%} & \text{}{1\%}\\ \end{matrix}$$

Convert the percentages to probabilities and make a histogram of the probability distribution.

a. For $f(x)=x^{2 / 3}$, find the second Taylor polynomial at x = 1. b. Use your answer to part (a) to approximate $(1.2)^{2 / 3}$. c. Calculate $f^{(3)}(x)$ and find an M such that $\left|f^{(3)}(x)\right| \leq M$ for $1 \leq x \leq 1.2$. d. Estimate the error by the error formula. e. Restate the approximation and error, rounded appropriately.

Name three important cations.

According to the article “Desktop Traveler: Prison Tours” by K. McLaughlin (Wall Street Journal, December 3, 2002, p. D8), jails should be on the top of your list of travel destinations, if you aren’t among the 1 in every 146 Americans already in prison. Use this information and the Poisson distribution to determine the approximate probability that at most three people in a random sample of 500 Americans are currently in prison.

According to Harper's Index, 50% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. What is the probability that 7 or fewer are serving time for drug dealing?