10.70 One assumption of the test in Problem 10.68 is that the distribution of serum retinol is approximately normal. To verify this assumption, the investigators obtained a fre- quency distribution of serum retinol at year O among males in the vitamin A group, with data as shown in Table 10.32. TABLE 10.32 Distribution of serum retinol in a retinitis-pigmentosa population Serum-retinol group (umol/L) S1.40 1.41–1.75 22 1.76–2.10 22 2.11–2.45 20 22.46 3 73 Perform a statistical test to check on the normality assump- tion. Given your results, do you feel the assumption of nor- mality is warranted? Why or why not?
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.
![10.70 One assumption of the test in Problem 10.68 is that
the distribution of serum retinol is approximately normal.
To verify this assumption, the investigators obtained a fre-
quency distribution of serum retinol at year O among males
in the vitamin A group, with data as shown in Table 10.32.
TABLE 10.32 Distribution of serum retinol in a
retinitis-pigmentosa population
Serum-retinol group (umol/L)
<1.40
6
1.41-1.75
22
1.76–2.10
22
2.11-2.45
20
22.46
3
73
Perform a statistical test to check on the normality assump-
tion. Given your results, do you feel the assumption of nor-
mality is warranted? Why or why not?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8477f906-f6c4-4c3c-adef-141032124a27%2F7dc78c1b-c9ee-4130-8b32-79e9bd000938%2Fds7smrb_processed.png&w=3840&q=75)
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