Please use the following formula for hypothesis test for the slope (b1) to answer the following question: A researcher wanted to determine whether years of experience play a significant role in increasing the salary of the employees. He collected a random sample of 10 employees having experience of 1 to 10 years and recorded their annual salary (in $). Determine whether years of experience and salary have a significant relationship or not. Years of experience Salary($) 1 40000 2 53000 3 60000 4 78000 5 110000 6 152000 7 200000 8 240000 9 255000 10 300000 Apply the test for significance of slope and check whether the relationship is significant or not.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
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Please use the following formula for hypothesis test for the slope (b1) to answer the following question:

A researcher wanted to determine whether years of experience play a significant role in increasing the salary of the employees. He collected a random sample of 10 employees having experience of 1 to 10 years and recorded their annual salary (in $). Determine whether years of experience and salary have a significant relationship or not.

Years of experience Salary($)
1 40000
2 53000
3 60000
4 78000
5 110000
6 152000
7 200000
8 240000
9 255000
10 300000

Apply the test for significance of slope and check whether the relationship is significant or not.

Hypothesis Test for the Slope (b₁)
To test the null hypothesis Hō: ß₁ = 0 versus H₁: B₁ # 0
Know this
for conupt
question
t =
b₁
√MSE/√S XX
Slide
where to/2 is a value of the t-distribution with n - 2 df. 35
Transcribed Image Text:Hypothesis Test for the Slope (b₁) To test the null hypothesis Hō: ß₁ = 0 versus H₁: B₁ # 0 Know this for conupt question t = b₁ √MSE/√S XX Slide where to/2 is a value of the t-distribution with n - 2 df. 35
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