Based on the data shown below, a statistician calculatesa linear model y =0.56x24.29.x3456789y21.9620.9821.722.3220.8420.9619.9816.510Use the model to estimate the y-value when x = 3=yUse the model to estimate the y-value when x = 5y =

Answered: Based on the data shown below, a…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.8 8.2 6.9 3.9 2.3 2.4 2.6 0.6 y 14.2 11.2 10.2 7.5 5.9 6.4 6 4.3 x = thousands of automatic weaponsy = murders per 100,000 residents This data can be modeled by the equation y=0.88x+3.95. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 7.2 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 1.6 thousand automatic weapons? Answer = Round to 3 decimal places.
Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, where lemon imports are in metric tons and the fatality rates are per 100,000 people, find the best predicted crash fatality rate for a year in which there are 450 metric tons of lemon imports. Is the prediction worthwhile? Lemon Imports Crash Fatality Rate 230 262 364 480 519 16 15.7 15.4 15.3 14.9 ..... Find the equation of the regression line. y = + (Round the y-intercept to three decimal places as needed. Round the slope to four decimal places as needed.)
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 352 pounds? Use a significance level of 0.05. Chest size (inches) *Weight (pounds) 44 54 328 528 41 55 39 51 418 580 296 503 Click the icon to view the critical values of the Pearson correlation coefficient r. - What is the regression equation? x (Round to one decimal place as needed.)
Let Y represent the profit (or loss) for a certain company X years after 1970. Based on the data shown below, a statistician calculates a linear model Y = 0.59X+4.98. X 2345678 y 5.02 y = 8.03 6.44 8.35 9.36 10.27 8.08 Use the model to estimate the profit in 1977
= 2.62x+15.67. Based on the data shown below, a statistician calculates a linear model y X y 5 29.2 6 31.24 7 34.28 8 34.52 9 38.76 10 42.9 11 45.84 12 45.68 13 51.32 14 52.06 15 54.6 16 58.34 17 58.98 Use the model to estimate the y-value when x = 7 y = Use the model to estimate the y-value when = 5 y =
Which of the following is the most appropriate equation to model the data? ŷ = –10.89x + 0.85 ŷ = –0.85x + 10.89 ŷ = 10.89(0.85)x ŷ = 0.85(10.89)x
Let Y represent the profit (or loss) for a certain company X years after 1980. Based on the data shown below, a statistician calculates a linear model Y =- 0.08X + 21.70. %3D y 4 21.9 20.2 6. 22 7. 20.8 8 19.9 9. 21.9 10 22.1 11 19.7 Use the model to estimate the profit in 1989 y 3D
The table contains price-supply data and price-demand data for corn. Find a linear regression model for the price-supply data where x is supply (in billions of bushels) and y is price (in dollars). Do the same for the price-demand data. Find the equilibrium price for corn. Price ($/bu) Supply (billion bu) Price ($/bu) Demand (billion bu) 2.14 6.41 2.06 9.96 2.25 7.38 2.15 9.42 2.34 7.51 2.26 8.33 2.41 7.78 2.32 8.08 2.46 8.13 2.36 7.86 2.57 8.35 2.48 6.96 ... Question content area right Part 1 Find a linear regression model for the price-supply data where x is supply (in billions ofbushels) and y is price (in dollars). y=enter your response here (Type an equation using x as the variable. Round to two decimal places as needed.)
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.1 7.1 3.9 2.9 2.6 2.1 0.7 13.7 10.7 10.2 7 6.5 6.5 5.7 4.7 thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the linear equation 0.83x + 4.08 a. How many murders per 100,000 residents can be expected in a state with 10.3 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents b. How many murders per 100,000 residents can be expected in a state with 2.5 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents
The ages (in years) of five men and their systolic pressures. (You can use technology) Age, x 16 25 39 45 49 Systolic blood pressure, y 109 122 143 132 199 a. calculate the correlation coefficient, r b. calculate the critical r c. Is there a significant linear relationship between x and y? d. find the equation of regression line e Interpret the slope and the y-intercept f. Predict the systolic blood pressure for a man who is 40 years old.
Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week Grade y 8. 72.2 8. 58.2 10 60 11 71.4 14 92.6 14 76.6 14 75.6 14 83.6 15 81 20 100 State the regression equation with constants accurate to 2 decimal places. ý = What is the predicted value for the final grade when a student spends an average of 15 hours each week on math? Round to 2 decimal places. Question Help: D Video 1 Video 2 Submit Question
An ice cream truck owner collects data on the number of sales made each day and the average temperature that day. He computes a regression line for predicting the number of sales based on how far the daily temperature is from freezing (0 degrees Celsius) and finds sales = 3.22 - 1.8 (degrees over 0 Celsius). Identify the "y-intercept". A. -1.8 B. 1.8 C. 3.22 D. 0

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Based on the data shown below, a statistician calculates a linear model y - 0.56x + 24.29. - X y 21.96 20.98 21.7 22.32 20.84 20.96 19.98 16.5 = 3 4 5 6 7 8 9 10 Use the model to estimate the y-value when x = 3 y Use the model to estimate the y-value when ï = = 5 y =