The scatterplot below shows the relationship between mass, x, in kilograms of a car and its fuel efficiency, y, inmiles per gallon. The least-squares line is also shown on the scatterplot. The equation of the least-squares line isy = 37.335-0.00965x. What is the predicted number of miles per gallon for a car that weighs 2,150 kilograms?Fuel Efficiency and Mass for CarsNOV140Fuel Efficiency (mpg)2001,0002,000Mass (kg)O-0.00965 miles per gallonMark this and return3,0004,000Save and ExitNexttv ♫SubmitAa NOV140Fuel Efficiency (mpg)302001,0002,000Mass (kg)O-0.00965 miles per gallon16.588 miles per gallonO 20.474 miles per gallonO 37.335 miles per gallonO 2,150 miles per gallonMark this and return3,0004,000Save and ExitMacBook ProNexttv JANSubmit

Given that: The equation of least-squares line is: y^=37.335-0.00965x * y is the fuel efficiency…

Answered: The scatterplot below shows the…

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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In linear analysis, what is meant by the "best fitting" or "least squares" line? Choices: A: of all possible lines, the line with the steepest slope B. The line that minimizes the differences between the actual values of y and the predicted values of y C. of all possible lines, the line with the flattest slope D. the line that minimizes the differences between actual values of y and the mean value of y
The cost of a leading liquid laundry detergent in different sizes is given below. Size (ounces) Cost ($) 16 3.59 32 4.39 64 5.19 200 10.19 Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.)ŷ = + x
70. College Costs The table lists the average tuition and fees (in constant 2014 dollars) at public colleges and universi- ties for selected years. Year 1984 1994 2004 2014 Tuition and Fees (in 2014 dollars) 12,179 16,188 7626 9386 Source: National Center for Education Statistics. (a) Find the equation of the least-squares regression line that models the data. (b) Graph the data and the regression line in the same viewing window. (c) Estimate the cost in 2009. (d) Use the model to predict the cost in 2019.
please answer sections d and e
Report the equation of the regression line and interpret it in the context of the problem
Match the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram (a) R2 0.90, (b) R2 0.58, (c) R2 =1 (a) Scatter diagram Explanatory (b) Scatter diagram (c) Scatter diagram Explanatory III Explanatory
Find the equation of the least-squares line for the given data. Draw a scatter diagram for the given data and graph the least-squares line. x 1, 3, 5, 7, 9 y 9, 7, 6, 3 ,2
This table shows the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8 2 83.8 3 91.4 5 106.6 7 119.3 10 137.1 14 157.5 Decide which variable should be the independent variable and which should be the dependent variable. Draw a scatter plot of the data. Does it appear from inspection that there is a relationship between the variables? Why or why not? Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx Find the correlation coefficient. Is it significant? Find the estimated average height for a one-year-old. Find the estimated average height for an eleven-year-old. Does it appear that a line is the best way to fit the data? Why or why not? Are there any outliers in the data? Use the least squares line to estimate the average height for a sixty-two-year-old man. Do you think that youranswer is reasonable? Why or why not? 10. What is the slope of the least-squares (best-fit) line?…
а. Complete the table. (or just write answers) Xi Yi 2 2 3 4 Totals E x; = E yi = Exf = Σχy Find SSxy, SSXX B1. x, y, and fo- Write the equation of the least squares line. b. C. d) What will be y if x=10
Interpreting technology: A biologist computed a least-squares regression line for predicting the brain weight in grams of a bird from its body weight in grams. The results are presented in the following Excel output. Coefficients Intercept 3.68952298 Body Weight 0.07800925 Part: 0 / 2 Part 1 of 2 Write the equation of the least-squares regression line. Use the full accuracy shown in the Excel output (do not round your answers). Regression line equation: y = X

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