Find the correlation coefficient of the two variables. Find the correlation coefficient. 1. A random sample of states yielded the following numbers of local school districts and the corresponding numbers of secondary schools. Is there a significant relationship betwoen the data? School districts 53 19 24 17 95 68 Secondary schools 50 120 180 80 134 210 0.10 0.21 0.27 O 0.12
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Find the correlation coefficient of the
two variables.
Find the correlation coefficient.
1. A random sample of states yielded the following numbers of local school districts
and the corresponding numbers of secondary schools. Is there a significant
relationship between the data?
School districts
53
19
24
17
95
68
Secondary schools
50
120
180
80
134
210
0.10
0.21
0.27
0.12
2. Calculate the regression equation
and estimate the Math grade when
the HS grade is 90. *
2. A professor wanted to see if the students' grades in Mathematics can be predicted
using the average grade in high school. Below are the data were recorded.
Mathematics
75
75 75 85 76 75 75 79
75 88
Grade
4h Year HS
Average
82 65 75 85
80 76 75 75 83 75
Grade
Calculate the regression equation. Estimate Math grade when the HS
average grade is 90.
80
76
88
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2.b.The IQ scores of children in a
special education class are normally
distributed with µ = 95 and o = 10.
What is the probability that a child
has an IQ score above 120? *
0.9938
0.6200
0.9940
0.0062
This is a required question
2.c.The IQ scores of children in a
special education class are normally
distributed with µ = 95 and o = 10.
What is the chances that a child has
an IQ score of 90? *
0.3085
0.6915
1.00
0.3080"
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