A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information.53894310 1037* (number of joh changes)y (Salary in $1000)USE SALTb=ŷ =50Σx = 56; Σy = 362; Ex2 = 402; Σyλ = 13,236; Σxy = 2,093(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.)x=4540(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.y353025O05045y403530O2523374245638 32 326681321081050454035y504540PK353025302520O0O40 33224686810What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)%10(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)(d) If someone had x = 10 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.)thousand dollars

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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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35. Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx) Cost(yy) 757 134.55 538 106.7 782 142.3 461 83.15 597 116.55 372 74.8 328 75.2 480 92 978 154.7 261 58.15 A student calculates a linear modely = x + . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 849.Cost =$ (Please show your answer to 2 decimal places.)
18
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In January 2013, a poll by ABC News indicated that Obama's popularity had reached a three-year high. Suppose the relative frequency of occurrence of each response, grouped by sex, is given in the following table. Rating Excellent Very Good Good Fair Poor Answer: Women Men Relative Relative Frequency Frequency 0.184 ≈ 0.23 unknown 0.25 unknown unknown 0.225 unknown ≈ 0.167 0.103 Assume • the proportion of men's responses rated as either Very Good or Good is 0.488, • the proportion of women's responses rated as either Good or Fair is .353, • the proportion of men's responses rated as Good is≈ 93.6% larger than the proportion of women's responses the same (relative to the women's one), and • the proportion of men's responses rated as Very Good is 14.58% larger than the proportion of women's responses rated as Fair (relative to the women's one.) What proportion of women's responses is rated as Good? (Type your final answer in decimal form (rounded to the nearest hundredth), like 0.36. DO…
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