**Exhibit 14-16**You are given the following information about \( x \) and \( y \).| \( x \) (Independent Variable) | \( y \) (Dependent Variable) ||--------------------------------|-----------------------------|| 21 | 10 || 8 | 4 || 9 | 8 || 10 | 5 |Refer to Exhibit 14-16. The least squares estimate of \( b_1 \) equals _____.- ○ 2.39- ○ .36- ○ 11- ○ -1

Given data is Independent variable (x) dependent variable (y) 21 10 8 4 9 8 10 5

Answered: Exhibit 14-16 You are given 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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TEACHER We use the form ŷ = a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from a report showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in a state. A Minitab printout provides the following information. Predictor Coef SE Coef Constant 315.54 28.31 11.24 0.002 Elevation -28.950 3.511 -8.79 0.003 S = 11.8603 R-Sq = 96.2% Notice that "Elevation" is listed under "Predictor." This means that elevation is the explanatory variable x. Its coefficient is the slope b. "Constant" refers to a in the equation ŷ = a + bx. (a) Use the printout to write the least-squares equation. %3D (b) For each 1000-foot increase in elevation, how many fewer frost-free days…
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We want to write the least-squares equation ý a+ bx, using the given printout. Predictor Coef SE Coef Constant 316.27 28.31 11.24 0.002 Elevation -32.660 3.511 -8.79 0.003 S 11.0603 R-iq 95.1N Recall that a is the intercept and b is the slope of the line. Since the elevation is the explanatory variable, x, the coefficient of the x-term is the slope of the line. From the printout, this corresponds to the table value in the "Elevation" row, and "Coef" column. Therefore, The intercept is given by the value of the constant term. There is no variable, but the Minitab printout classifies this value as a "coefficient." (Note: This may or may not coincide with your previous experience with the terms "constant" and "coefficient," but it is mathematically correct for reasons that we will not explore in this tutorial.) The value in the "Constant" row and "Coef" column is 316.27, Therefore, a Substitute these values into the least-square equation. 9 -a+ bx
Least squares practice find the best-fit line for the following data sets. Plot the points and the best-fit line. (0, 0), (2, 3), (4, 5)
You are given the following information about y and x. y Dependent Variable Independent Variable Oa. 1 Ob. 5 Oc. -1 Od. 6 5 4 X 3 2 1 1 2 3 4 5 The least squares estimate of b₁ (slope) equals
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Complete parts (a) through (h) for the data below. 4 6. 8 y 11 14 18 23 26 (d) By hand, determine the least-squares regression line. y = 2.977 x+ ( - 0.651) (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. A. Ов. Ay 30- Ay 10- 30- X 0- 10 10 10 (f) Compute the sum of the squared residuals for the line found in part (b). (Round to three decimal places as needed.)
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The final 2 parts of 5he question is (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained % unexplained % (f) For a neighborhood with x = 30 hundred jobs, how many are predicted to be entry level jobs? (Round your answer to two decimal places.) hundred jobs
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College Graduation Rates. Data from the College Results Online website compared the 2011 graduation rate and median SAT score for 92 similar-sized public universities and colleges in the United States. The scatterplot below shows the relationship between these two variables along with the least squares fit. Round all calculated results to 4 decimal places I need help with 3, 4 and 5 plz.

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Exhibit 14-16 You are given the following information about x and y. Independent Variable 21 8 9 10 2.39 0.36 y -1 Dependent Variable Refer to Exhibit 14-16. The least squares estimate of b₁ equals 10 485