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The following data is taken from a sample of government employees, and contains the number of years of experience and the current annual salary (in thousands of $). Years of Experience 2 9= 2 3 4 3 1 4 3 4 4 4 Annual Income (In Thousands of $) 19 22 24 25 29 28 26 29 34 34 (a) Suppose we wish to use years of experience to predict an employee's annual income. Which variable is the dependent variable? Which one is the independent variable? The dependent variable y is-Select-- ✓, and the independent variable x is ---Select--- (b) Determine the least squares estimated regression equation. (c) Predict the annual income of an employee with one year of experience. Give your answer in dollars. $

The following data is taken from a sample of government employees, and contains the number of years of experience and the current annual salary (in thousands of $). Years of Experience 2 9= 2 3 4 3 1 4 3 4 4 4 Annual Income (In Thousands of $) 19 22 24 25 29 28 26 29 34 34 (a) Suppose we wish to use years of experience to predict an employee's annual income. Which variable is the dependent variable? Which one is the independent variable? The dependent variable y is-Select-- ✓, and the independent variable x is ---Select--- (b) Determine the least squares estimated regression equation. (c) Predict the annual income of an employee with one year of experience. Give your answer in dollars. $

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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part a dropdown: years of expierence or annual income

part f dropdown: increases or decreases or stays the same

The following data is taken from a sample of government employees, and contains the number of years of experience and the current annual salary (in thousands of $). Years of Experience 2 ŷ = 2 3 4 3 1 4 3 4 4 Annual Income (In Thousands of $) 19 22 24 25 29 28 26 29 34 34 (a) Suppose we wish to use years of experience to predict an employee's annual income. Which variable is the dependent variable? Which one is the independent variable? The dependent variable y is ---Select--- and the independent variable x is ---Select--- (b) Determine the least squares estimated regression equation. (c) Predict the annual income of an employee with one year of experience. Give your answer in dollars. $
Transcribed Image Text:The following data is taken from a sample of government employees, and contains the number of years of experience and the current annual salary (in thousands of $). Years of Experience 2 ŷ = 2 3 4 3 1 4 3 4 4 Annual Income (In Thousands of $) 19 22 24 25 29 28 26 29 34 34 (a) Suppose we wish to use years of experience to predict an employee's annual income. Which variable is the dependent variable? Which one is the independent variable? The dependent variable y is ---Select--- and the independent variable x is ---Select--- (b) Determine the least squares estimated regression equation. (c) Predict the annual income of an employee with one year of experience. Give your answer in dollars. $
(d) Use a t-test to test if the relationship between years of experience and income is statistically significant at the 0.05 level of significance. State the null and alternative hypotheses. O Ho: B₁ ≥ 0 Ha: B₁ <0 Ho: B₁ = 0 Ha: B₁ * 0 O Ho: B₁ * 0 H₂: B₁ = 0 o Ho Bo = 0 Ha: Bo #0 ọ Hoi Boto Ha: Bo = 0 Find the value of the test statistic for the t-test. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Reject Ho. We conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We conclude that the relationship between years of experience and income is significant. (e) Calculate the coefficient of determination. (Round your answer to four decimal places.) (f) Calculate the sample correlation coefficient between income and years of experience. (Round your answer to four decimal places.) Interpret the value you obtain. The sample correlation coefficient tells us that for individuals in this data set, as their years of experience increase, their annual income tends to --Select---
Transcribed Image Text:(d) Use a t-test to test if the relationship between years of experience and income is statistically significant at the 0.05 level of significance. State the null and alternative hypotheses. O Ho: B₁ ≥ 0 Ha: B₁ <0 Ho: B₁ = 0 Ha: B₁ * 0 O Ho: B₁ * 0 H₂: B₁ = 0 o Ho Bo = 0 Ha: Bo #0 ọ Hoi Boto Ha: Bo = 0 Find the value of the test statistic for the t-test. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Reject Ho. We conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We conclude that the relationship between years of experience and income is significant. (e) Calculate the coefficient of determination. (Round your answer to four decimal places.) (f) Calculate the sample correlation coefficient between income and years of experience. (Round your answer to four decimal places.) Interpret the value you obtain. The sample correlation coefficient tells us that for individuals in this data set, as their years of experience increase, their annual income tends to --Select---
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(d) Use a t-test to test if the relationship between years of experience and income is statistically significant at the 0.05 level of significance. State the null and alternative hypotheses. O Ho: B₁ ≥ 0 H₂: B₁< < 0 Ho: B₁ = 0 Ha: B₁ * 0 O Ho: B₁ * 0 Ha: B₁ = 0 о ново = 0 Ha: Bo # 0 Ho Bo # 0 Ha: Bo Find the value of the test statistic for the t-test. (Round your answer to three decimal places.) = = 0 Find the p-value. (Round your answer to four decimal places.) p-value What is your conclusion? O Reject Ho. We conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We conclude that the relationship between years of experience and income is significant. (e) Calculate the coefficient of determination. (Round your answer to four decimal places.) (f) Calculate the sample correlation coefficient between income and years of experience. (Round your answer to four decimal places.) Interpret the value you obtain. The sample correlation coefficient tells us that for individuals in this data set, as their years of experience increase, their annual income tends to ---Select---
Transcribed Image Text:(d) Use a t-test to test if the relationship between years of experience and income is statistically significant at the 0.05 level of significance. State the null and alternative hypotheses. O Ho: B₁ ≥ 0 H₂: B₁< < 0 Ho: B₁ = 0 Ha: B₁ * 0 O Ho: B₁ * 0 Ha: B₁ = 0 о ново = 0 Ha: Bo # 0 Ho Bo # 0 Ha: Bo Find the value of the test statistic for the t-test. (Round your answer to three decimal places.) = = 0 Find the p-value. (Round your answer to four decimal places.) p-value What is your conclusion? O Reject Ho. We conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Reject Ho. We cannot conclude that the relationship between years of experience and income is significant. O Do not reject Ho. We conclude that the relationship between years of experience and income is significant. (e) Calculate the coefficient of determination. (Round your answer to four decimal places.) (f) Calculate the sample correlation coefficient between income and years of experience. (Round your answer to four decimal places.) Interpret the value you obtain. The sample correlation coefficient tells us that for individuals in this data set, as their years of experience increase, their annual income tends to ---Select---
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