Conducting Regression

https://www.youtube.com/watch?v=Q5JlRmmHzsg&feature=youtu.be
Use 5 Steps:

  1. State the hypothesis (minimum of 2)
  2. Set criterion for Rejecting H0
  3. Calculate the test statistic
  4. Make a decision about the null hypothesis
  5. Evaluate our decision and translate to English.

Homework Assignment Week 14
Complete the 5 steps for the following two problems. Assume an α=.05.

  1. You are a production manager at a hand-made shoe factory. You think that there may be a relationship between worker’s income and their daily output for shoes made. Is there a significant relationship?

Worker’s income (In dollars) Daily output
37000 12
35000 13
38000 13
27000 10
29000 11
32000 12
31000 11

  1. You are a principal in a STEM high school. You think that there may be a relationship between 11th grade math test scores and SAT Math Scores. Is there a significant relationship?

11th grade Math Scores SAT Math Scores
92 750
94 775
87 675
90 752
76 620
92 740
88 620
89 710
91 730
98 760
95 690
96 740
93 710

  1. If there was a significant correlation for number 1 above, predict the income level for the following shoe output values:
    a. Shoe Output = 14
    b. Shoe Output = 10
    c. Shoe Output = 15
  2. If there was a significant correlation for number 2 above, predict the SAT score for the following 11th grade Math Scores:
    a. Math score = 84
    b. Math score = 91
    c. Math score = 87

Sample Solution