1. A random sample of eight drivers insured with a company and having similarauto insurance policies was selected. The following table lists their drivingexperiences (in years) and monthly auto insurance premiums.DrivingExperience (X) :5 212152516Monthly Auto(Y) : 6487507144564260Insurance Premiumа.Find the least squares regression line.b.Compute the standard deviation of errors.Test at 10% significance level whether B1 is negative.Using a = .05, test whether p is negative.c.d.

The concept of regression is introduced by the statistician Sir Francis Galton. The regression is…

1. A random sample of eight drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experiences (in years) and monthly auto insurance premiums. Driving Experience (X) : 5 2 12 15 6 25 16 Monthly Auto(Y) : 64 87 50 71 44 56 42 60 Insurance Premium a. Find the least squares regression line. b. Compute the standard deviation of errors.

1. A random sample of eight drivers insured with a company and having similar auto insurance policies was selected. The following table lists their driving experiences (in years) and monthly auto insurance premiums. Driving Experience (X) : 5 2 12 15 6 25 16 Monthly Auto(Y) : 64 87 50 71 44 56 42 60 Insurance Premium a. Find the least squares regression line. b. Compute the standard deviation of errors.

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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Research was conducted on the amount of training for 5K and the time a contestant took to run the race. The researcher recorded the number of miles during training ( a 1 month period) and the time to complete the 5K. The results are below. Miles Trained 45 77 37 25 60 64 Time (Minutes) 32.9 28 36.2 27.5 19.5 18.3 a) Give the correlation coefficient. r = b) Give the equation of the regression line. Round the values to 4 deimal places.This is in the form y = ax + b, so the slope goes in the first box and the y-inercept in the 2nd box.y = x + c) Interpret the y-intercept (Explain it's meaning, do not just give its value.)d) Predict the time in the 5K if someone trained 37 miles.Use the rounded values entered for the slope and intercept of the regression line to compute the predicted y-value.y = e) Give the residual for 37 miles trained.This is the actual y value for the runner who trained for miles minus the predicted value.Residual=
A pediatrician wants to determine the relation that exists between a child's height, x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the accompanying data. Complete parts (a) through (g) below. Click the icon to view the children's data. Data table (a) Find the least-squares regression line treating height y =x+ (O (Round the slope to three decimal places and round the d Height (inches), x Head Circumference (inches), y O. 28 17.6 24.5 17.1 25.75 17.1 25.75 17.5 24.25 17.0 27.75 17.7 26.5 17.3 27.25 17.6 26.5 17.3 26.5 17.5 27.75 17.6 Print Done Help me solve this View an example Get more help - Media - Clear all Check answer
Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. Thecorrelation coefficient is 0.944 and the least squares regression line is y = 0.199x + 11.982. Complete parts (a) and (b)below.Height, x27.5 25.5 26.25 25.25 27.5 26.25 26 27.25 27.25 27 27.25 ФHead Circumference, # 17.5 17.0 17.2 17.0 17.5 17.3 17.2 17.4 17.3 17.3 17.4(a) Compute the coefficient of determination, R?R?.% (Round to one decimal place as needed.)(b) Interpret the coefficient of determination and comment on the adequacy of the linear model.Approximately % of the variation inis explained by the least-squares regression model.According to the residual plot, the linear model appears to be (Round to one decimal place as needed.)
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.
Name Her Age His Age Barack and Michelle Obama 45 47 George W. and Laura Bush 54 54 Bill and Hillary Clinton 45 46 Ronald and Nancy Reagan 55 64 Gerald and Betty Ford 59 69 Lyndon and Lady Bird Johnson 56 61 John and Jacqueline Kennedy 31 43 Dwight and Mamie Eisenhower 50 55 (c) Remove the outlier and compute the least-squares regression line for predicting the president's age from first lady's age. Round the slope and y -intercept values to at least four decimal places. Regression line equation: =y
The following table represents the average price (in dollars) for a dozen eggs and a gallon of milk for five years. Dozen Eggs 1.14 1.29 1.28 1.31 1.36 Gallon of Milk 3.25 3.12 3.15 3.26 3.33 Determine the least-squares regression line. Select one: O a. ĝ = 0.1978r - 2.9926 O b. ý = 2.9926r +0.1798 O c. û = 2.9926r – 0.1798 O d. ŷ = 0.1978r + 2.9926
3. A study was conducted to determine whether there exists a relationship between the length of time (in hours) a senior high school student spends reviewing his or her lesson a week before the final examination and his or her grade in statistics and probability. Eight randomly selected senior high school students provided the following data. x (hours) 10 13 25 18 12 13 5 21 80 85 95 89 81 y 84 78 a. Construct a scatter plot for the given data. b. Draw the regression line that best fits the data. c. Find the slope and y-intercept of the regression line. Interpret the results. d. Determine the linear regression model. e. Predict the grade of a student who reviewed 14 hours a week before the final examination in statistics and probability. 88
Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish treats after each successful attempt at a new trick. The following table lists the dolphins, the number of treats per success given to each, and the average number of attempts necessary for each to learn to perform the tricks. Dolphin Number of Treats Number of Attempts Diana 4 5 Frederick 2 8 Fatima 1 8 Marlin 3 7 You can use the preceding sample data to obtain the regression line, where Ŷ is the predicted value of Y: ŶŶ = = bX + abX + a One formula for the slope of the regression line is as follows: bb = = SPSSxSPSSx To calculate the slope, first calculate SP and SSxx: SP = __?__ , and SSxx = _?_ . (Hint: For SP use the computational formula and for SSxx use the definitional formula.) The slope of the regression line is , and the Y intercept of the regression line is ___?__ . The difference between Y and…
You are given the following data, where X1X1 (final percentage in science class) and X2X2 (number of absences) are used to predict YY (standardized science test score in third grade): X1X1 X2X2 YY 95 2 415 82 0 400 92 6 375 72 1 410 75 4 370 80 1 390 78 3 350 70 3 345 65 7 300 70 3 350 88 3 375 89 1 450 Determine the following multiple regression values.Report intercept and slopes for regression equation accurate to at least 2 decimal places: Intercept: b0=b0= Partial slope X1X1: b1=b1= Partial slope X2X2: b2=b2= Report the coefficient of multiple determination for the model (NOT the adjusted R2R2) and the sum of squares total accurate to at least 2 decimal places: R2=R2= SSTotal=SSTotal= Test the significance of the overall regression model. F-test statistic = P-value = Report the Mean Squares residuals accurate to 2 decimal places: Report the test statistics for the regression coefficients accurate to 2 decimal places:…