In issue 49 of Stats: The Magazine for Students of Statistics, Schuyler Huck presents a dataset of 100 ordered pairs in which 25of them are (17, 1), 25 are (18, 2), 25 are (19, 3), and 25 are (20, 4).a. Without doing much formal calculation, find the value of r and the slope, m, of the least-squares regression line. Give theanswers as whole numbers.r =SUr =m =b. Now, suppose someone adds the 101 point to the dataset: the ordered pair (1, 20). Predict the new value of r and the slope ofthe regression line. Give the answers to 4 decimal places.m =

XYTotal point in ordered paired171251822519325204251201

Answered: In issue 49 of Stats: The Magazine for…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states, where T is thousands of automatic weapons and y is murders per 100,000 residents. 11.4 8.1 6.7 3.3 2.3 2.6 2.1 0.7 13.6 10.6 9.6 6.9 5.9 6.4 6. 4.9 Use your calculator to determine the equation of the regression line and write it in the y = ar +b form. Round to 2 decimal places. y = .78x +4.39 According to this model, how many murders per 100,000 residents can be expected in a state with 2.1 thousand automatic weapons? Round to 3 decimal places. 5.9 According to this model, how many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons? Round to 3 decimal places. 9.82
The following is a table showing the price of car insurance based on how much driving experience that an insurance holder has. Use the years of driving experience as your explanatory (independent) variable and the monthly insurance premium as your response (dependent) variable. Years of driving experience 0 1 2 3 4 5 6 7 8 Cost of monthly insurance premium 67 63 62 59 50 42 39 34 32 a) What is the least squares regression line for this bivariate dataset? (write in y=mx+b form) b) What is the correlation coefficient? c) Find the residual cost of someone with 5 years of driving experience (difference between predicted and observed values) d) Interpret the y-intercept and slope of the regression line in context of the problem.
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The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained. Systolic Blood pressuex1 Age (years)x2 Weight (pounds)x3 132 52 173 143 59 184 153 67 194 162 73 211 154 64 196 168 74 220 137 54 188 149 61 188 159 65 207 128 46 167 166 72 217 a) Look at the coefficients of the regression equation. Write out the regression equation. (Use 3 decimal places.) x1 = _____ + _____ x2 + ____x3 b) If age were held fixed, but a person put on 10 pounds, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)c) If a person kept the same weight but got 10 years older, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)
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