I need the answer as soon as possible Using the principle of least-squares, Fit an equaltionof the Frm y(ax+ ) to the given data%3Dbelow:1523×ア

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Answered: Using the principle of least-squares,…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.4: Solving Quadratic Equations By Factoring

Problem 2GP

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Sherry rents long boards. She records the height in cm and length of the board in cm that the customers rented. She notices a fairly linear relationship so she calculates a least squares regression equation for predicting board length from customer height: y=1/3x+1/3 What is the residual of a customer with a height of 155 cm who rents a 51 cm board?
A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (M, in grams) based on the length of the porcupine (L, in cm). Her least squares regression equation is M = – 3089 + 175.6L. Predict the body mass of a porcupine that is 51 cm long. Report your answer using one decimal place. O 5661.0 g O 5732.5 g O 5866.6 g O 6139.2 g eTextbook and Media Save for Later Last saved 3 minutes ago. Attempts: 2 of 3 used Submit Answer Saved work will be auto-submitted on the due date. Auto- submission can take up to 10 minutes.
An automotive engineer computed a least-squares regression line for predicting the gas mileage (y) in miles per gallon of a certain vehicle from its speed (x) in miles per hour. The result is y = -0.14x+ 38.78. Predict the gas mileage when the vehicle is travelling at 55 miles per hour. Round your answer to one decimal place. Only write a number as your answer.
The final question in the example is (f) At an archaeological site with elevation 6.6 (thousand feet), what does the least-squares equation forecast for y = percentage of culturally unidentified artifacts? (Round your answer to two decimal places.) %
The least squares regression equation is y=158.7740+0.7627x. If two quarterbacks differ in height by 6 inches, by how much would you predict their weights to differ?
A physics student wants to measure the stiffness of a spring (force required per cm stretched). He knows that according to Hooke's law, there is a linear relationship between the distance a spring is stretched and the force needed to stretch the spring. He collects some data by measuring the force applied to the spring when he stretches the spring by some amount. The plot and the least squares fit is given below.From the regression model, the intercept was found to be -2.532 and the slope was found to be 25.321.Part i).The stiffness of the spring was predicted to beA. -9.961B. 25.321C. 50.642D. -2.532E. 125.84Part ii).Refer to the previous question, the physics student used the regression model to predict that a force of 377.28N would be required to stretch the spring by 15cm. Remarkably, his prediction was horribly wrong. Can you explain why? (Check all that apply)A. He made a prediction outside of the range of forces observed.B. He had outliers or influential points in his data.C.…
A physics student wants to measure the stiffness of a spring (force required per cm stretched). He knows that according to Hooke's law, there is a linear relationship between the distance a spring is stretched and the force needed to stretch the spring. He collects some data by measuring the force applied to the spring when he stretches the spring by some amount. The plot and the least squares fit is given below.From the regression model, the intercept was found to be -2.532 and the slope was found to be 25.321.Part i).The stiffness of the spring was predicted to beA. -9.961B. 25.321C. 50.642D. -2.532E. 125.84Part ii).Refer to the previous question, the physics student used the regression model to predict that a force of 377.28N would be required to stretch the spring by 15cm. Remarkably, his prediction was horribly wrong. Can you explain why? (Check all that apply)A. He made a prediction outside of the range of forces observed.B. He had outliers or influential points in his data.C.…
Given the data points (5, 523), (9, 4625), (11, 9853) , and (15, 32003), find the value of f(x) if x = 5.17 using quadratic interpolation. Round off your final answer to five decimal places but do not round off in preliminary calculations.
An exercise science researcher is studying whether a relationship exists between the number of hours a person spends watching TV every day day (x) and the number of consecutive times that person can jump in the air before getting tired. (y). The results were: y = a+bxb = -0.99a = 23.8r2 = 0.6075r = -0.7794 If a person watches 13 hours of television a day, predict how many times they can jump in the air. If a person can jump in the air 5 times, what is the prediction for the number of hours of television they watch a day? hours
The least squares regression equation is y=18.7841+0.5616x. If the systolic pressures of two patients differs by 8 mmHg, by how much would you predict their diastolic pressures to differ?
The scatter plot below shows the average cost of a designer jacket in a sample of years between 2000 and 2015. The least squares regression line modeling this data is given by yˆ=−4815+3.765x. A scatterplot has a horizontal axis labeled Year from 2005 to 2015 in increments of 5 and a vertical axis labeled Price ($) from 2660 to 2780 in increments of 20. The following points are plotted: (2003, 2736); (2004, 2715); (2007, 2675); (2009, 2719); (2013, 270). All coordinates are approximate. Interpret the slope of the least squares regression line. Select the correct answer below: 1.The average cost of a designer jacket decreased by $3.765 each year between 2000 and 2015. 2.The average cost of a designer jacket increased by $3.765 each year between 2000 and 2015. 3.The average cost of a designer jacket decreased by $4815 each year between 2000 and 2015. 4. The average cost of a designer jacket increased by $4815 each year between 2000 and…
Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x + 356.467x + 5332.618, where x is the number of years after 1980. During what years does this model indicate that sales would be at least 6 billion? The sales are at least 6 billion for the years through (Round up to the nearest year as needed.)

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Using the principle of least-squares, Fit an equation. of the Form y = (ax+ to the given dat a x below: X 1 3 4 15 Y 0 2 3 B/W 8