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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question

We are interested in the relationship between mid-term exam scores and final exam
scores. The Final Exam score is the dependent variable and Midterm score is the
independent variable. Use the simple regression output on below to answer the
question below. Use a significance level of 0.05 for all hypothesis tests and intervals.
What was the sample size for this simple regression analysis?
Analysis of Variance
Sum of
Source
DF
Squares Mean Square
F Ratio
Model
1
2632.8012
2632.80
23.2115
Error
54
6125.0381
113.43 Prob > F
C. Total
55
8757.8393
<.0001*
Parameter Estimates
Term
Estimate Std Error t Ratio Prob>|t| Lower 95% Upper 95%
Intercept 31.738559 10.26099
Midterm
3.09 0.0031*
11.166522
52.310596
0.8768157
0.61916 0.128514
4.82 <.0001*
0.3615044

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Recently, an automobile insurance company performed a study of a random sample of 15 of its customers to determine if there is a positive relationship between the number of miles driven and the age of the driver. The company only wishes to determine if a positive relationship exists. Which is the most appropriate analysis to conduct to answer this question? A. Correlation analysis B. Chi-square test for independence C. ANOVA (Analysis of Variance) D. Multiple regression analysis
Sarah is the office manager for a group of financial advisors who provide financial services forindividual clients. She would like to investigate whether a relationship exists between the numberof presentations made to prospective clients in a month and the number of new clients per month.The following table shows the number of presentations and corresponding new clients for aa random sample of six employees.Employee Presentations New Clients1 7 22 9 33 9 44 10 35 11 56 12 3Sarah would like to use simple regression analysis to estimate the number of new clients permonth based on the number of presentations made by the employee per month. The test statisticfor testing the hypothesis that the population coefficient of determination is greater than zero is________. A) 1.03 B) 1.45 C) -1.16 D) 0.35
A business school is conducting a study to investigate whether a students’ scores on a placement test can be used to predict students’ starting salaries. Based on a random sample of 200 graduates of the business school, a 98 percent confidence interval for the slope of the linear regression line relating placement scores and starting salary is calculated to be (315,336). Assume the conditions for inference are met. Which of the following is a correct interpretation of the confidence interval? There is a 98 percent probability that the slope of the population regression line is between $315 per point and $336 per point. A Ninety-eight percent of the time, a 10-point increase in placement score will result in an average increase between $3,150 and $3,360 in starting salary. B We are 98 percent confident that a 10-point increase in placement score will result in a predicted increase in starting salary of between $3,150 and $3,360. C We are 98 percent…
Suppose that a sample of n = 12 pairs of X and Y scores has SSY = 90 and a Pearson correlation of r = +0.40. Does the regression equation predict a significant portion of the variance? Test with α = .05.(hint: SStotal = SSY; r2 = SSregression/SSTotal)
consider the partially completed ANOVA table showing the results of a regression analysis shown;

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