Berlin, Germany, and El Calafate, Argentina, are about the same distance from the equator. The graph below shows a line of best fitfor data collected on the average high temperature in El Calafate as a function of the average high temperature in Berlin.Average High Temperatures7560453015153045607590Berlin Temperature (°F)Which of the following is the equation of the line of best fit?-40 +6157O A.y =-4* + 95ОВ.OC.96 + -615y = - +OD.El Calafate Temperature (°F)

The given graph represent the line of best fit of the average high temperature in EI Calafate and…

Answered: Berlin, Germany, and El Calafate,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Data is collected on the relationship between time spent playing video games and time spent with family. The data is shown in the table and the line of best fit for the data is ŷ =−0.27x+57.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables Video Games(minutes) Time with Family(minutes) 30 50 60 40 90 35 120 25 According to the line of best fit, the predicted number of minutes spent with family for someone who spent 95 minutes playing video games is 31.85. Is it reasonable to use this line of best fit to make the above prediction? Select the correct answer below: The estimate, a predicted time of 31.85 minutes, is unreliable but reasonable. The estimate, a predicted time of 31.85 minutes, is both unreliable and unreasonable. The estimate, a predicted time of 31.85 minutes, is both reliable and reasonable. The estimate, a predicted time of 31.85 minutes, is reliable but unreasonable.
7. Identify whether the following ordered pairs is a function: (2, 2), (3, 2), (5, 4).
Data was collected for a regression analysis where sleep quality (as a percentage) depends on the amount of caffeine consumed in a day (measured in mg). bo was found to be 92.7, b₁ was found to be -0.76, and R² was found to be 0.86. Interpret the slope of the line. O On average, each one mg increase in caffeine consumed increases a person's sleep quality by 92.7%. O On average, when x = = 0, a person has a sleep quality of -0.76%. O On average, each one mg increase in caffeine consumed decreases a person's sleep quality by 0.76%. On average, when x = 0, a person has a sleep quality of 92.7%. O We should not interpret the slope in this problem. O We should interpret the slope in this problem, but none of the above are correct.
what is the constant of variation in this graph?
Determine an equation for a function with the following table of values.
The height y (in meters) of a volcano in the southeast Pacific Ocean is recorded in the table for selected years since 1960. Number of Years Since Height (m)| 1960, x 166 10 290 20 408 30 526 40 650 50 760 54 813 a. Graph the data in a scatter plot. b. Use the points (0, 166) and (40, 650) to write a linear function that defines the height y of the volcano, x years since 1960. c. Interpret the meaning of the slope in the context of this problem. d. Use the model in part (b) to predict the height of the volcano in the year 2030 assuming that the linear trend continues.
The graph plots the gas mileage of various cars from the same model year versus the weight of these cars in thousands of pounds. Describe the association between the two variables. Also explain what the point at the very top represents. 3.75 Weight (thousands of pounds) BIUA A LE xx, E 12pt Paragraph Subm
Suppose that z is a linear function of and y with slope 3 in the direction and slope 2 in the y direction. (a) A change of -0.3 in x and -0.3 in y produces what change in z? change in z = (b) If z = 4 when x = 6 and y = 7, what is the value of z when x = 6 and y = 7.1? 2 =
Carbon Dioxide Emissions The table gives the millions of metric tons of carbon dioxide emissions frombiomass energy combustion in the United States forselected years from 2010 projected to 2032.a. Find a linear function that gives the millions ofmetric tons of carbon dioxide emissions, y, asfunction of x, the number of years after 2010.b. Graph the model on the same axes with the data.Is it a good fit for the data?c. What does the (unrounded) model predict the millions of metric tons of carbon dioxide emissionswill be in 2027? d. When will the millions of metric tons of carbondioxide emissions reach 776.6, according to themodel?
The table shows data collected on the relationship between the average daily temperature and time spent watching television. The line of best fit for the data is yˆ=−0.66x+88.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables. Temperature (Degrees) Minutes Watching Television 35 66 45 58 55 52 65 46 (a) According to the line of best fit, what would be the predicted number of minutes spent watching television for an average daily temperature of 46 degrees? Round your answer to two decimal places, as needed. Provide your answer below: The predicted number of minutes spent watching television is .
Data was collected for a regression analysis comparing car weight and fuel consumption. b0 was found to be 32.7, b1 was found to be -7.6, and R2 was found to be 0.86. Interpret the y-intercept of the line. On average, each one unit increase in the weight of a car decreases its ful consumption by 7.6 units. On average, when x=0, a car gets -7.6 miles per gallon. On average, when x=0, a car gets 32.7 miles per gallon. On average, each one unit increase in the weight of a car increases its fuel comsumption by 32.7 units. We should not interpret the y-intercept in this problem.
Fill in the blanks outside the table showing the changes in the x- and y-values. Then, answer the questions. 1) a. Is it a linear function? b. Why/Why not? -3 1. -2 -1 3 4 1 5 2) a. Is it a linear function? b. Why/Why not? -5 2 1. -2 4 -1 6 1. 2 8 1. 10 3) -10 a. Is it a linear function? 1. -5 b. Why/Why not? 4 2 5 1. 10 -3 4) y a. Is it a linear function? b. Why/Why not? -1 -9 ]. -4 1. 1 1. 3 7 11 1. 11 15

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