7:2227A webassign.netHow much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight ofthe pony (in kilograms).3 6Ly 60 95121401423164 189A USE SALT(a) Make a scatter diagram of the data and visualize the line you think best fits the data.180160E140* 120100A8060le101520X (age (in months))15106080100120140160180X (age (in months))180160140120100-80605101520X (age (in months))20106080100120140160180X (age (in months))(b) Would you say the correlation is low, moderate, or strong?O lowO moderateO strongWould you say the correlation is positive or negative?O positiveO negative(y up ayham asezaan) (b) Would you say the correlation is low, moderate, or strong?O lowmoderatestrongWould you say the correlation is positive or negative?O positiveO negative(c) Use a calculator to verify thatx = 58, x² = 914, Ly = 648, v² = 94,842, and xy = 9,073.Compute r. (Round your answer to four decimal places.)As x increases from 3 to 23 months, does the value of r imply that y should tend to increase or decrease? Explain youranswer.O Given our value of r, y should tend to increase as x increases.O Given our value of r, we can not draw any conclusions for the behavior of y as x increases.O Given our value of r, y should tend to remain constant as x increases.O Given our value of r, y should tend to decrease as x increases.

Answered: (c) Use a calculator to verify that x =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
28. Below is some of the regression output from a regression of the amount rental houses on an island rent for (expressed in thousands of $'s) based on the size of the house (expressed in square feet), whether the house has an ocean front view (VIEW = 1 if it has an ocean front view and = 0 if not), and an interaction term between the ocean front view dummy variable and the size of the house. If the estimated equation is:Price = 1,251 + 0.34*Size + 1,538*View + 0.07*(Size*View) Suppose you just built a house with an ocean front view that is 3600 square feet and you want to decide how much to rent it for. What is the predicted price of a house that is 3600 square feet and has an ocean front view? (please express your answer using 1 decimal places)
Based on the data shown below, a statistician calculates a linear model y=2.41x+2.76y=2.41x+2.76. x y 4 12.5 5 14.35 6 16.9 7 20.65 8 22.1 9 23.95 Use the model to estimate the yy-value when x=9x=9y=y=
Calculate Karl Pearson's coeffcient of skewness from the following data:Weekly Sales (Ksh) 10-12 12-14 14-16 16-18 18-20 20-22 22-24 24-26Number of Companies 12 18 35 42 50 30 8 4
29. Below is some of the regression output from a regression of the amount rental houses on an island rent for (expressed in thousands of $'s) based on the size of the house (expressed in square feet), whether the house has an ocean front view (VIEW = 1 if it has an ocean front view and = 0 if not), and an interaction term between the ocean front view dummy variable and the size of the house. If the estimated equation isPrice = 1,444 + 0.3*Size + 1,411*View + 0.08*(Size*View) How much more (or less) does a 3800 square foot house that has an ocean front view rent for compared to a similar sized house without an ocean front view? (if the ocean front house rents for more then express your answer as a POSITIVE number; if the ocean front house rents for less then express your answer as a NEGATIVE number) (please express your answer using 1 decimal places)
x 0 2 3 5 6 y 1 1 7 11 20 Determine the best (according to sum-of-squares-measure) curve y = ax2 + bx + c, through the data above.
Q, 1: Environtech Engineering, a company that specializes in the construction of antipollution filtration devices, has recorded the following sales record over the last 9 years: Year 1987 1988 1989 1990 1991 1992 1993 1994 1995 Sales (x 100,000) 13 15 19 21 27 35 47 49 97 a) Plot these data with suitable scale and define shape. b) Develop the linear estimating equation that best describes these data, and plot this line on the graph from part (a). c) Develop the second-degree estimating equation that best describes these data, and plot this curve on the graph from part (a). d) Does the market to the best of your knowledge favor (b) or (c) as the more accurate estimating method?

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(c) Use a calculator to verify that x = 58, x² = 914, y = 648, r² = 94,842, and xy = 9,073. %3D Compute r. (Round your answer to four decimal places.)