A baseball is thrown upward, and its height measured at 0.5-second intervals using a strobe light. The resulting data are given the table. (Let y be the height of the baseball in ft and x the time in seconds since it is thrown.) Time (s) Height (ft) 4.2 0.5 26.1 1.0 40.1 1.5 46.0 2.0 43.9 2.5 33.7 3.0 15.8 (a) Draw a scatter plot of the data. y 70 60 5of 40 50 40 30 30 20 20 10 10 y 70 50 60 40 50 30 40 30 20 10 20 10 2 3 O-1 What degree polynomial is appropriate for modeling the data? (b) Find a polynomial model that best fits the data. (Round all numerical values to three decimal places.)

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?

A farmer in Indiana wants to examine the relation between the number of very hot days (days when the high temperature exceeds 95° F) and the corn production of his farm (in bushels of corn per acre). He looks at the data for 10 summers. Let x¡ = the number of hot days during the ith summer. %3D = the corn production (in bushels per acre) during the ih summer. Let yi The data are in the table below:. 4 6. 7 8. 9. 10 i 2 14 10 7. 8. 1 12 Xi Yi 95 80 83 87 88 85 99 102 79 95 a) Make a scatterplot of the data. b) Examine your scatterplot and, without performing any calculations, EXPLAIN whether you expect the correlation coefficient to be closer to -1, 0, or 1 and WHY. c) Find the sample mean and standard deviation for each variable. %3D %3D S. %3D y d) Place an asterisk on your scatterplot at the point (x,ỹ).

%23 34.152 is an approx number. The no. is correct up to five significant digits Find the upper Limit for Ihe relative error.

Range. la ( la13) ? (2x) = Domain Kange. ?

Approximate x to three significant figures.

Suppose that 7 male students take a survey and are asked for their height (in inches) and their shoe size.  The results are below.                           height              72        70        68        67        76        69        67                         shoe size          11        10        10          9        13        11        10             a.) Fill in for height only.  No work needs shown.  Use 2 decimal places.   x̅ = __________          median = __________            s =  __________             b.) Construct (hand-draw) a scatterplot of the data above, assuming you are using height to try to predict shoe size.        c.) Interpret in words for this problem what you are seeing on your graph.  Specifically, mention if you think there may be a relationship between height and shoe size, and explain why or why not. ______________________________________________________________________________

severe storms indicate that e3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use off fxed cement piers. Suppose that a reading of 31 waves showed an average wave height of x= 16.7 feet. Previous studies of Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of 164 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land C (a) What is the level of significance? State the null and alternate hypotheses. Ho: H- 16.4 ft; H:>'16.4 ft Ho: H 16.4 ft; H1: = 16.4 ft Ho: H- 16.4 ft; H: H+ 16.4 ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard…

Pre-Calc HW 2.3

A company cl mean monthl E. Ho: H Ha