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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 26E

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please send complete correct answers Q15

Question 15
You are given the data points (ai, Yi) for i = 1, 2, 3:
(2, 3), (1, –8), (2,9).
If y = a + Bx is the equation of the least squares line that best fits the given
data points then, the value of Q is
and the value of 3 is

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Consider the data points (2,7) and (3,4). (a) Find the straight line that provides the best least-squares fit to these data. (b) Use the slope and point-slope form to find the equation of the straight line passing through the two points. (c) Explain why it could have been predicted that the straight line in (b) would be the same as the straight line (a)
QUESTION (3C.PNG) BASIS OF THE DATA (DATA.PNG)
Given points (-1,10) (0,8) (1,5) and (3,0) Make use of the least squares line to predict the Y-value of the point with X = 4
question 17, chapter 4 residuals part F is what I need help with solving. Hello, I need help solving part F of this problem. X= 30, 40, 50, 60, 70 Y= 82, 77, 72, 64, 52 I found the equation of the line containing points (40, 77) and (70, 52). Y= -5 / 6 X + / 3. Y = negative 5 over 6 times X 331 over 3. the line of least squares regression is y= -73x + 105.9 Part F. Compute the sum of the squared residuals for the line found in part B.
Question 8 The relationship between annual salary (in US dollars) and race was estimated as below in a linear format. (White employees were coded as 0 and Non-White employees were coded as 1.) Annual Salary = -17,472 * Non-White + 48,253 (The p-value for the coefficient of Non-White is 0.01.) How can the relationship between race and annual salary be interpreted? A.) White employees are expected to receive 17,472 dollars more than non-white employees. B.) White employees are expected to receive 17,472 dollars less than non-white employees. C.)There is no meaningful difference in annual salary between white and non-white employees from a statistical point of view. D.) White employees are expected to receive 48,253 dollars more than non-white employees.
In Galton’s height data (Figure 7.1, in Section 7.1), the least-squares line for predictingforearm length (y) from height (x) is y = −0.2967 + 0.2738x.a) Predict the forearm length of a man whose height is 70 in.b) How tall must a man be so that we would predict his forearm length to be 19 in.?c) All the men in a certain group have heights greater than the height computed in part(b). Can you conclude that all their forearms will be at least 19 in. long? Explain.
QUESTION THREE A repair workshop finds it is having a problem with a pressure gauge it uses. It decides to have it checked by a specialist firm. The following data was obtained. Reading of Gauge (bar) x 1.0 1.4 1.8 2.2 2.6 3.0 3.4 3.8 Correct reading y(bar) 0.96 1.33 1.75 2.14 2.58 2.97 3.38 3.75 (a) Find the least squares line for the data (b) Predict the correct reading, y, for a given gauge level of 3.3 (c) Determine at the 5% level whether there is evidence to indicate a linear relationship between reading of gauge, x and correct readings y.
Find the quartic function that is the best fit for the data in the following table. x y-3 61-2 9-1 10 11 -32 13 49 The quartic function that is the best fit for the given data is y=?
QUESTION THREE Energy consumption is claimed to be a good predictor of Gross National Product. An economist recorded the energy consumption ( ) x and the Gross National Product ( ) y for eight countries. The data are shown in the table below: Energy Consumption ( ) x 3.4 7.7 12.0 75 58 67 113 131 Gross National Product ( ) y 55 240 390 1100 1390 1330 1400 1900 i. Find the least squares equation for the data. ii. Estimate the Gross National Product, y , of a country that has an energy consumption of 100. iii. Estimate the energy consumption of a country that has a Gross National Product of 3500.

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