An article in the Journal of Sound and Vibration (Vol. 151, 1991, pp. 383-394) described a study investigating the relationship betweennoise exposure and hypertension. The following data are representative of those reported in the article.y 154 69 722358576x 60 63 65 70 70 70 8090 80 80 85 89 90 90 90 90 94 100 100 100(a) Test for significance of regression using a = 0.05. What is the P-value for this test? Round to 7 decimal places.(b) Estimate the standard errors of the slope and intercept.Standard error of the slope = i. (Round to four decimal places.)Standard error of the intercept =. (Round to three decimal places.)(c) Test Ho: Bo = 0 versus H1: Bo + 0 using a = 0.05. Find the P-value for this test.i(Round to six decimal places.)

a) Excel Procedure: Enter X and Y in Excel>Data>Data Analysis> ‘Regression’>Select Y…

Answered: An article in the Journal of Sound and…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

See similar textbooks

Similar questions

A random sample of 9 statistics students produced the following data, Midterm Exam Score, x Final Exam Score, y 81 49 62 23 76 84 26 58 96 33 38 36 10 15 15 83 81 28 where x measures the midterm exam score and y measures the final exam score. What is the estimate of the y = a x + b regression intercept coefficient?
A random sample of 9 statistics students produced the following data, Midterm Exam Score, x Final Exam Score, y 18 87 84 75 48 10 22 60 46 60 92 46 69 33 93 45 28 60 where x measures the midterm exam score and y measures the final exam score. What is the estimate of the y = a x + b regression slope coefficient?
Consider the following computer output from a multiple regression analysis relating the cost of car insurance to the variables: number of car accidents, driver’s credit score, and safety rating of the car. Coefficients Coefficients Standard Error tt Stat P-value Intercept 841841 85.9385.93 9.7879.787 0.00000.0000 Car Accidents(In last 3 years) 151.38151.38 15.9815.98 9.4739.473 0.00000.0000 Credit Score −92.51−92.51 10.2310.23 −9.043−9.043 0.00000.0000 Safety Rating −164.66−164.66 15.9815.98 −10.304−10.304 0.00000.0000 Does the sign of the coefficient for the variable credit score make sense?
Consider the following computer output from a multiple regression analysis relating the price of a used car to the variables: age of car, mileage, and safety rating. Coefficients Coefficients Standard Error t� Stat P-value Intercept 42465.6942465.69 5320.545320.54 7.9817.981 0.00000.0000 Age (Year) −21096.02−21096.02 2551.522551.52 −8.268−8.268 0.00000.0000 Mileage(in Thousands) −1312.73−1312.73 103.02103.02 −12.743−12.743 0.00000.0000 Safety Rating 1533.821533.82 165.72165.72 9.2559.255 0.00000.0000 Does the sign of the coefficient for the variable safety rating make sense?
The following table gives information on the amount of sugar (in grams) and the calorie count in one serving of a sample of varieties of Kellogg's cereal. Find the predictive regression equation of the number of calories on the amount of sugar. Sugar (grams) 6 15 12 11 8 6 7 4 9 14 20 13 3 Calories 120 200 150 110 120 80 190 120 120 190 190 120 120
A specialist in hospital administration stated that no. of employees in a hospital can be estimated by counting the no. of beds in the hospital .A health care researcher decided to develop a regression model in an attempt to predict the number of employees of a hospital by the no. of beds . 12 hospitals were surveyed and obtained following data. No of Beds. Employees 23 69 29 95 29 102 35 118 42 126 46 125 50 138 54 178 64 156 66 184 76 176 78 225 After obtaining the regression model and interpret it accordingly based on your understanding. Explain the…
The following data is a regression model where the U.S. Department of Transportation has tried to relate the rate of fatal traffic accidents (per 1000 licenses) to the percentage of motorists under the age of 21. Data has been collected for 42 major cities in the United States. SUMMARY OUTPUT Regression Statistics Multiple R 0.83938748 R Square 0.70457134 Adjusted R Square 0.69718562 Standard Error 0.58935028 Observations 42 ANOVA df SS MS F Regression 1 33.13441764 33.1344 95.3964 Residual 40 13.89335048 0.34733 Total 41 47.02776812 Coefficients Standard Error t Stat P-value Intercept -1.5974138 0.371671454 -4.2979 0.00010 Percent Under 21 0.28705317 0.029389769 9.76711 3.79E-9…
Consider the following computer output from a multiple regression analysis relating the cost of car insurance to the variables: number of car accidents, driver’s credit score, and safety rating of the car. Coefficients Standard Error t Coefficients Stat P-value Intercept 1117 113.71 9.823 0.0000 Car Accidents(In last 3 years) 201.06 20.67 9.727 0.0000 Credit Score −122.87 13.47 −9.122 0.0000 Safety Rating −268.22 26.94 −9.956 0.0000 Does the sign of the coefficient for the variable safety rating make sense?
A company trains its employees with instructional videos and claims that the amount of time, in hours, spent training is linearly related to an increase in productivity. The company selected a random sample of five employees to test its claim. The data were used to create the computer output for a least-squares linear regression, shown in the table. Variable DF Estimate SE Intercept 1 3.6 1.1489 Hours 1 0.8 0.3464 Which of the following is the correct test statistic and number of degrees of freedom? t=2.31 with 4 degrees of freedom A t=2.31 with 3 degrees of freedom B t=2.31 with 5 degrees of freedom C t=3.13 with 1 degree of freedom D t=3.13 with 3 degrees of freedom E
The authors of a paper were interested in how the distance a deer mouse will travel for food is related to the distance from the food to the nearest pile of debris. Distances were measured in meters. The data and computer output are given below. Distance from Debris Distance Traveled 6.94 0.00 5.23 6.13 5.21 11.29 7.10 14.35 8.16 12.03 5.50 22.72 9.19 20.11 9.05 26.16 9.36 30.65 Simple Linear Regression Results: Dependent Variable: Traveled Independent Variable: Debris Sample size: 9 R (correlation coefficient) = 0.5657 R-sq = 0.32002088 Estimate of error standard deviation 8.670711 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-Value Intercept -7.6854587 13.332196 ≠ 0 7 -0.5764586 0.5824 Slope 3.2340908 1.7818117 ≠ 0 7 1.8150575 0.1124 a)What is the least squares regression line for the output given above? b) what is the predicted traveled distance given the distance from debris is 6.5 meters?

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

SEE MORE TEXTBOOKS