A scientist measures the velocity of a major river at various depths. After collecting and analyzing the data, the scientist determines that the equation y = -0. 114x + 1. 658, where x represents the depth, in feet, and y represents the velocity of the river, in feet per second, can be used to model the data. The linear model has a correlation coefficient of 0. 964. Part A: Explain what the slope and intercept of the equation mean in terms of the context. Part B: Explain what the correlation coefficient indicates about the relationship between the two variables.

A scientist measures the velocity of a major river at various depths. After collecting and analyzing the data, the scientist determines that the equation y = -0. 114x + 1. 658, where x represents the depth, in feet, and y represents the velocity of the river, in feet per second, can be used to model the data. The linear model has a correlation coefficient of 0. 964. Part A: Explain what the slope and intercept of the equation mean in terms of the context. Part B: Explain what the correlation coefficient indicates about the relationship between the two variables.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Sasha wrote the equation y = 6x Which graph shows a proportional relationship with a greater unit…

A: we know that , in a proportional relationship ,one variable is always a constant value times the…

Q: The amount of money Jamie earns is proportional to the number of hours she works. Jamie earns $62.50…

A: Given information: Amount of money earned by Jamie=$62.50Number of hours worked=5 hours

Q: The relationship between the wind speed at a given temperature and the apparent temperature is…

A: Given that the relation between the wind speed and apparent temperature is approximately linear.…

Q: Use the graph to help you write an equation for a linear model giving V, the value of the CA wine…

A: Let Yi and Vi denote the no. of years after 2000 and the value of the CA wine market(in billions of…

Q: The percentage of citizens who have trust in newspapers declined approximately linearly from 35% in…

A: Answer: From the given data, The percentage of citizens who have trust in newspapers in 2003 = 35%…

Q: A passenger jet passed through an altitude of 13,000 feet 8 minutes after takeoff and was climbing…

A: Altitude after 8 minutes = 13,00ftclimbing rate = 1,250…

Q: The accompanying data represent the yearly amount of solar power installed (in megawatts) in a…

A: The provided information is as follows:The following data represents the yearly amount of solar…

Q: The cost of manufacturing a piece of video equipment is related to the xx quantity produced during…

Q: Audrey buys a performance snow mobile for $71,000 and assumes it will have a trade in value of…

Q: A school can buy 150 textbooks for $9725. They could also buy 85 textbooks for $5630 under the same…

A: Let ‘n’ be the number of textbooks and ‘c’ be the cost of the textbooks Use the given information…

Q: elate dala Del , of a linear model represents how the two types of data change i value.

A: The answer is given below

Question

A scientist measures the velocity of a major river at
various depths. After collecting and analyzing the data,
the scientist determines that the equation
-0. 114x + 1. 658, where
y =
x represents the depth, in feet, and
y represents the velocity of the river, in feet per second,
can be used to model the data. The linear model has a
correlation coefficient of
0. 964.
Part A:
Explain what the slope and intercept of the equation
mean in terms of the context.
Part B:
Explain what the correlation coefficient indicates about
the relationship between the two variables.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Biologists have observed that the chirping rate of a certain species of cricket is modeled by the linear equation. Temp is 60 degrees t=5/24 n+45
A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the average attendance has been 21000. When the price dropped to $6, the average attendance rose to 25000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? s
In the United States, it is illegal to drive with a blood alcohol concentration of 0.08 or higher. (A blood alcohol concentration of 0.08 indicates 0.08% alcohol in the blood.) The scatter plot shows the relationship between the number of one-ounce beers consumed per hour by a 200-pound person and that person's corresponding blood alcohol concentration. Also shown is a line that passes through or near the data points. Blood Alcohol Concentration Based y on a Body Weight of 200 Pounds 0.14 0.12 0.10 (7, 0.121) 0.08 0.06 0.04 (3, 0.053) 0.02 2 3 4 5 7 Number of Beers per Hour Source: National Highway Traffic Safety Administration a. Use the two points whose coordinates are shown by the voice balloons to find the point-slope form of the equation of the line that models the blood alcohol concentration of a 200-pound person, y, who consumes x one-ounce beers per hour. b. Write the equation from part (a) in slope-intercept form. Use function notation. c. Use the linear function to predict…
A ball is thrown straight up in the air with an initial velocity of 60feet per second (ft/sec). According to the laws of physics, if you let y denote the velocity of the ball after x seconds, y=60−32x. a. Find the y-intercept and slope of the linear equation. b. Explain what the y-intercept and slope represent in terms of the graph of the equation. c. Explain what the y-intercept and slope represent in terms relating to the application. a. The y-intercept of the linear equation is b0= The slope of the linear equation is b1= b. The y-intercept gives the y-value at which the line intersects the ___________ (y-asix or x-axis). The slope indicates that the y-value _________ (increases, decreases) by ______ unit(s) for every increase in x of 1 unit. c. The y-intercept is the velocity of the ball at time _______ second(s). The slope represents the fact that the velocity of the ball (increases, decreases) by______ ft/sec every ______ (foot, second)
An engineer determined that the weight of a car and gas mileage have a linear relationship. A car that weighs 3500 pounds has a gas mileage of 20 miles per gallon. Another car that weighs 2500 pounds has a gas mileage of 29 miles per gallon. Let x be the weight of the car and y be the gas mileage of the car in miles per gallon. Use the point-slope formula to write a linear equation.
A survey was distributed to a group of people asking them how many times they had ordered takeout in the past week. They were also asked how much money they saved that week. The scatter plot displays the relationship between the data collected. the trend line goes through the points (1,230) and (3,190). What is the equation of the trend line. The equation should be in slope form. interpret the slope and y intercept in this context. predict the amount of money a person save when they order takeout 9 times.
A small business purchases a piece of equipment for $465. After 3 years the equipment will be outdated, having no value. (a) Write a linear equation giving the value y of the equipment in terms of the time x, 0 S x < 3. y = (b) Find the value of the equipment when x = 2. %$4 (c) Estimate (to two-decimal-place accuracy) the time when the value of the equipment is $200. yr
The number (in millions) of employees working in educational services in a particular country was 16.6 in 2005 and 18.5 in 2014. Let x = 5 correspond to the year 2005, and estimate the number of employees in 2010. Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantity. Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is (Simplify your answer. Use integers or decimals for any numbers in the equation. Round to the nearest hundredth as needed.) In 2010, the number (in millions) of employees working in education services would be (Type an integer or a decimal rounded to the nearest hundredth as needed.)
For an Uber driver (taxi driver) the following linear equation describes the relationship between the number of miles driven x, and the total cost y (in dollars).y = 1.99x + 2.75According to this equation,a. What is the cost of driving around town for 25 miles? b. If the total cost was $80.36, then how many miles did a passenger travel?
The following table shows retail sales in drug stores in billions of dollars in the U.S. for years since 1995. 220- 210 200 190 180 170 160 150 Year 0 130- 120- 110- 100- 90 801 6 12 15 Let S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for the data is F(t) = 9.44t + 84.182. Retail Sales 85.851 108.426 141.781 169.256 202.297 222.266 3 6 9 12 15 Use the above scatter plot to decide whether the linear model fits the data well. The function is a good model for the data. The function is not a good model for the data Estimate the retails sales in the U. S. in 2015. billions of dollars.
Suppose the number of people y (in hundreds) employed as asteroid miners can be estimated by the linear equation y=36x+650, where x is the number of years after 2002. a. Graph the linear equation b. Does the point (7,902)lie on the line? If so, what does this ordered pair mean?
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.