Question

1. Does it pay to stay in school? A researcher wishes to determine if there is a relationship between the number of years of education and the unemployment rate. Years of Education, x 5 7.5 8 10 12 14 16 Unemployment Rate, y 16.8 17.1 15.3 20.6 11.7 8.1 3.8 a) Create a scatterplot of the data and insert your plot here: Unemployment rate 25 20 15 Axis Title 10 5 y = -1.2407x + 26.193 R$^2$ = 0.6824 0 0 5 10 15 20 Axis Title • Unemployment rate ---- Linear (Unemployment rate) b) Calculate the value of the correlation coefficient. r = 0.6824 c) What type of correlation exists between the two variables? (strong positive, weak positive, strong negative, weak negative, or no linear correlation) d) Write a sentence interpreting this relationship in the context of the data.

          1. Does it pay to stay in school? A researcher wishes to determine if there is a relationship
between the number of years of education and the unemployment rate.
Years of Education, x	5	7.5	8	10	12	14	16
Unemployment Rate, y	16.8	17.1	15.3	20.6	11.7	8.1	3.8
a) Create a scatterplot of the data and insert your plot here:
Unemployment rate
25
20
15
Axis Title
10
5
y = -1.2407x + 26.193
R$^2$ = 0.6824
0
0
5
10
15
20
Axis Title
• Unemployment rate
---- Linear (Unemployment rate)
b) Calculate the value of the correlation coefficient. r = 0.6824
c) What type of correlation exists between the two variables? (strong positive, weak
positive, strong negative, weak negative, or no linear correlation)
d) Write a sentence interpreting this relationship in the context of the data.

1. Does it pay to stay in school? A researcher wishes to determine if there is a relationship
between the number of years of education and the unemployment rate.
Years of Education, x 5 7.5 8 10 12 14 16
Unemployment Rate, y 16.8 17.1 15.3 20.6 11.7 8.1 3.8
a) Create a scatterplot of the data and insert your plot here:
Unemployment rate
25
20
15
Axis Title
10
5
y = -1.2407x + 26.193
R^2 = 0.6824
0
0
5
10
15
20
Axis Title
• Unemployment rate
—- Linear (Unemployment rate)
b) Calculate the value of the correlation coefficient. r = 0.6824
c) What type of correlation exists between the two variables? (strong positive, weak
positive, strong negative, weak negative, or no linear correlation)
d) Write a sentence interpreting this relationship in the context of the data.

Added by Paula R.

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