Exam 24: Inferences for Regression

arrow
  • Select Tags
search iconSearch Question
  • Select Tags

In a study of the relationship between weight and height,a sample regression equation is obtained,in which height is used as the predictor variable.This sample regression equation is then used to make inferences.Which of the following statements is true?

Free
(Multiple Choice)
4.9/5
(38)
Correct Answer:
Verified

A

Consider a logistic regression model for the probability of a "success",given a quantitative variable X. Term Estimate Intercept -4.00 0.10 Use the output above to estimate the probability of a success when X = 25.

Free
(Multiple Choice)
4.7/5
(35)
Correct Answer:
Verified

A

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn.Eight similar plots of land are selected and each is planted with a particular density of seed.One month later the quality of each lawn is rated on a scale of 0 to 100.The regression analysis and summary statistics are given below.A 99% confidence interval for the mean lawn quality of all lawns sown with a seed density of 2.9 was found to be (32.3,56.3).Give an interpretation of this interval. Variable Count Mean StdDev Range Seed Density 8 2.75 0.49099 4 Lawn Quality 8 45.625 3.712611 35 Dependent variable is: Lawn Quality R-squared = 36.0% S = 9.073602 with 8 - 2 = 6 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 33.14815 7.510757 4.413423 0.004503 Seed Density 4.537037 2.469522 1.837213 0.115825

Free
(Multiple Choice)
4.7/5
(40)
Correct Answer:
Verified

A

The index of exposure to radioactive waste and the cancer mortality rates (deaths per 100,000)were recorded for nine different geographic regions.Explain what the R-squared in this regression means. Dependent variable is: Cancer Mortality Rate R-squared = 85.8% s = 14.00993 with 9 - 2 = 7 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 114.7156 8.045663 14.25807 0.00000198 Index of Exp 9.231456 1.418787 6.506584 0.000332

(Essay)
4.8/5
(30)

Applicants for a particular job,which involves extensive travel in Spanish-speaking countries,must take a proficiency test in Spanish.The sample data were obtained in a study of the relationship between the numbers of years applicants have studied Spanish and their score on the test. Dependent variable is: Score R-squared = 83.0% Residual Standard Deviation = 5.65138 with df = 8 Sx = 1.1667

(Multiple Choice)
4.8/5
(31)

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn.Eight similar plots of land are selected and each is planted with a particular density of seed.One month later the quality of each lawn is rated on a scale of 0 to 100.The regression analysis is given below. Dependent variable is: Lawn Quality R-squared = 36.0% Residual Standard Deviation = 9.073602 with df = 6 Sx = 1.929

(Multiple Choice)
4.8/5
(40)

Applicants for a particular job,which involves extensive travel in Spanish-speaking countries,must take a proficiency test in Spanish.The sample data were obtained in a study of the relationship between the numbers of years applicants have studied Spanish and their score on the test.A 99% confidence interval for the slope of the regression line was determined to be (5.05,16.76).Give an interpretation of this interval. Dependent variable is: Score R-squared = 83.0% S = 5.65138 with 10 - 2 = 8 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 31.53333 6.360418 4.957745 0.00111 Number of years 10.90476 1.744054 6.252538 0.000245

(Multiple Choice)
4.8/5
(30)

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn.Eight similar plots of land are selected and each is planted with a particular density of seed.One month later the quality of each lawn is rated on a scale of 0 to 100.The regression analysis and summary statistics are given below.A 99% prediction interval for the lawn quality of a lawn sown with a seed density of 2.9 was determined to be (10.6,82.0)( 10.6,82.0 ) . Variable Count Mean StdDev Range Seed Density 8 2.75 0.49099 4 Lawn Quality 8 45.625 3.712611 35 Dependent variable is: Lawn Quality R-squared = 36.0% S = 9.073602 with 8 - 2 = 6 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 33.14815 7.510757 4.413423 0.004503 Seed Density 4.537037 2.469522 1.837213 0.115825

(Multiple Choice)
4.9/5
(27)

The typing speeds (in words per minute)and reading speeds (in words per minute)of nine randomly selected secretaries were recorded.Use the regression analysis and summary statistics provided below to determine a 90% confidence interval for the average reading speed of a secretary whose typing speed is 71. Variable Count Mean StdDev Range Typing speed 9 60.44444 3.3587 35 Reading speed 9 501.8889 33.42298 297 Dependent variable is: Reading speed R-squared = 12.385% S = 100.3348 with 9 - 2 = 7 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 290.2093 215.4116 1.347231 0.219884 Typing speed 3.502052 3.520579 0.994737 0.352998

(Multiple Choice)
4.9/5
(31)

The index of exposure to radioactive waste and the cancer mortality rates (deaths per 100,000)were recorded for nine different geographic regions.Use the regression analysis provided below to find a 99% confidence interval for the slope of the regression line. Dependent variable is: Cancer Mortality Rate R-squared = 85.8% S = 14.00993 with 9 - 2 = 7 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 114.7156 8.045663 14.25807 0.00000198 Index of Exp 9.231456 1.418787 6.506584 0.000332

(Multiple Choice)
4.9/5
(30)

Applicants for a particular job,which involves extensive travel in Spanish-speaking countries,must take a proficiency test in Spanish.The sample data were obtained in a study of the relationship between the numbers of years applicants have studied Spanish and their score on the test. Dependent variable is: Score R-squared = 83.0% S = 5.65138 with 10 - 2 = 8 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 31.53333 6.360418 4.957745 0.00111 Number of years 10.90476 1.744054 6.252538 0.000245

(Multiple Choice)
4.8/5
(38)

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn.Eight similar plots of land are selected and each is planted with a particular density of seed.One month later the quality of each lawn is rated on a scale of 0 to 100.The regression analysis is given below.A 95% confidence interval for the slope of the regression line was determined to be (-1.51,10.58).Give an interpretation of this interval. Dependent variable is: Lawn Quality R-squared = 36.0% S = 9.073602 with 8 - 2 = 6 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 33.14815 7.510757 4.413423 0.004503 Seed Density 4.537037 2.469522 1.837213 0.115825

(Multiple Choice)
4.8/5
(42)

Applicants for a particular job,which involves extensive travel in Spanish-speaking countries,must take a proficiency test in Spanish.The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish and their score on the test.Using a 1% level of significance,do the data provide sufficient evidence to conclude that the slope of the regression line is not 0 and hence that number of years of study is useful as a predictor of score on the test? The regression analysis is given below. Dependent variable is: Score R-squared = 83.0% s = 5.65138 with 10 - 2 = 8 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 31.53333 6.360418 4.957745 0.00111 Number of years 10.90476 1.744054 6.252538 0.000245

(Essay)
4.8/5
(37)

Consider a logistic regression model for the probability of a "success",given a quantitative variable X. Term Estimate Intercept -4.00 0.10 Use the output above to estimate the probability of a success when X = 10.

(Multiple Choice)
4.7/5
(34)

The sample data below are the typing speeds (in words per minute)and reading speeds (in words per minute)of nine randomly selected secretaries. Typing Speed Reading Speed 60 370 56 551 52 528 63 348 70 645 58 454 44 503 79 618 62 500 Using a 10% level of significance,do the data provide sufficient evidence of an association between typing speed and reading speed?

(Essay)
4.7/5
(33)

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn.Eight similar plots of land are selected and each is planted with a particular density of seed.One month later the quality of each lawn is rated on a scale of 0 to 100.The regression analysis is given below.Find a 95% confidence interval for the slope of the regression line. Dependent variable is: Lawn Quality R-squared = 36.0% S = 9.073602 with 8 - 2 = 6 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 33.14815 7.510757 4.413423 0.004503 Seed Density 4.537037 2.469522 1.837213 0.115825

(Multiple Choice)
4.8/5
(36)

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn.Eight similar plots of land are selected and each is planted with a particular density of seed.One month later the quality of each lawn is rated on a scale of 0 to 100.The regression analysis is given below.Using a 10% level of significance,is there evidence of an association between seed density and lawn quality? Dependent variable is: Lawn Quality R-squared = 36.0% s = 9.073602 with 8 - 2 = 6 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 33.14815 7.510757 4.413423 0.004503 Seed Density 4.537037 2.469522 1.837213 0.115825

(Essay)
4.9/5
(40)

The typing speeds (in words per minute)and reading speeds (in words per minute)of nine randomly selected secretaries were recorded.Using a 10% level of significance,use the regression analysis provided below to determine if there is sufficient evidence of an association between typing speed and reading speed. Dependent variable is: Reading speed R-squared = 12.385% s = 100.3348 with 9 - 2 = 7 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 290.2093 215.4116 1.347231 0.219844 Typing speed 3.502052 3.520579 0.994737 0.352998

(Essay)
4.8/5
(36)

Applicants for a particular job,which involves extensive travel in Spanish-speaking countries,must take a proficiency test in Spanish.The sample data were obtained in a study of the relationship between the numbers of years applicants have studied Spanish and their score on the test.Use the regression analysis and summary statistics given below to find a 95% confidence interval for the average score of an applicant who has studied Spanish for 2.2 years. Variable Count Mean StdDev Range Years 10 3.5 0.341565 3 Score 10 69.7 4.088058 41 Dependent variable is: Score R-squared = 83.0% S = 5.65138 with 10 - 2 = 8 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 31.53333 6.360418 4.957745 0.00111 Number of years 10.90476 1.744054 6.252538 0.000245

(Multiple Choice)
4.9/5
(31)

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft)and the quality of the resulting lawn.Eight similar plots of land are selected and each is planted with a particular density of seed.One month later the quality of each lawn is rated on a scale of 0 to 100.The regression analysis and summary statistics are given below.Determine a 99% confidence interval for the average lawn quality of a lawn sown with a seed density of 2.1. Variable Count Mean StdDev Range Seed Density 8 2.75 0.49099 4 Lawn Quality 8 45.625 3.71261 35 Dependent variable is: Lawn Quality R-squared = 36.0% S = 9.073602 with 8 - 2 = 6 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 33.14815 7.510757 4.413423 0.004503 Seed Density 4.537037 2.469522 1.837213 0.115825

(Multiple Choice)
4.9/5
(25)
Showing 1 - 20 of 57
close modal

Filters

  • Essay(0)
  • Multiple Choice(0)
  • Short Answer(0)
  • True False(0)
  • Matching(0)