19) The data below are the final exam scores of 10 randomly selected history stu

Question

19) The data below are the final exam scores of 10 randomly selected history students and the number 19) of hours they slept the night before the exam. Find the equation of the regression line for the gilver data. What would be the predicted score for a history student who slept 15 hours the previous night? Is this a reasonable question? Round your predicted score to the nearest whole number Round the regression line values to the nearest hundredth Hours, x 13151218121414151613 6088 66 78 A) y- 5.04x+56.11; 132; Yes, it is reasonable. B) y-50k. 56.11,-20, Yes,it is reasonable. Cy-504x 56.11 132; No, it is not reasonable. 15 hours is well outside the scope of the model. D) y-5.04+56.11;-20; No, it is not reasonable. 20) The data below are the number of absences and the final grades of 9 randomly selected students2) from a literature class Find the equation of the regression line for the given data. What would be the predicted final grade if a student was absent 14 times? Round the regression line values to the nearest hundredth. Round the predicted grade to the nearest whole number. 98 86 -2.75%-96.14, 13464 C)y-9614-27% 1343 B)"-96.14x+275; 1343 D)y=-275x + 96.14; 58 21) In an area of the Great Plains, records were kept on the relationship between the rainfall (in indes) 21) and the yield of wheat (bushels per acre) Find the equation of the regression line for the given data Round the regression line values to the nearest thousandth Rainfall (in inches). x 10.5 8.8 13.4 12.5 i i0.3 7 issl 160 Yield (bushels per acre)y 1505 462 158.81590 824 49231976088 A) y-4.379% 4.267 C)y»4267s+4379 B) y-267x-4379 D) y- 4379x 4267 22) A residual is the difference between 22) A) the observed value of y and the predicted value of y B) the observed value of x and the predicted value of y C the observed value of y and the predicted value of x D) the observed value of x and the predicted value of x. 23) For a given data set, the equation of the least squares regression line will always pass through 23) B) every point in the given data set A) the y-intercept and the slope. C) at least two point in the given data set 24) In order for a company's employees to work for the foreign office, they must take a test in the language of the country where they plan to work. The data below show the relationship between the number of years that employees have studied a particular language and the grades they received on the proficiency exam. What is the best predicted value for y given x-2? Number of years, x 1314145316121713 A) 62 B) 56 C) 58 D) 60

Explanation / Answer

23) For agiven data set the eqation of the least square regression line will always through (xbar,ybar)

22) A residual is the difference between the observed value of y and the predicted value of x.

24) For a given data, the given regression line is

y(hat)= 6.91x1+46.26

y(hat)= 6.91*2+46.26

y(hat)= 13.82+46.26

y(hat)= 60.08 approx 60.

21) For a given data, the given regression line is

y(hat)= 4.379x1+4.267 ( option d)

20) The regression eqation for the given data is

y(hat)= -2.75x1+96.14

x=14

y(hat)= 57.64 (option d)

19) THE given regression line is y(hat)= 5.044x+56.11

x=15

y(hat)= 131.77 (option A)

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