Let the following data be given - let x be independent variable and y be a depending variable and let the estimated simple linear model be : Ү — а + bx |15 19 21 17 22 8 23 Find (a) 2 (x; - Xbar) (Vi – Ybar) (Xi Хвar) (у; (b) (Xi - Xbar )² (c) 2 (vi – Ybar (d) the slope b (e) the y-intercept a (f) find the correlation r
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.
![Let the following data be given - let x be
independent variable and y be a depending
variable
and let the estimated simple linear model be
:
Y = a + bx
|3D
y
15
3
19
21
17
22
23
Find (a)
Σ
E (x;
Хваr) (у — Уваr)
– Ybar)
(b)
2 (x; - Xbar )
(c)
E (yi – Ybar
(d) the slope b (e) the y-intercept a (f) find
the correlation r
00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5ccab79-f0b6-4c31-8044-2bb2dd9b51b0%2F2bfb3ca4-4931-44b8-842a-6e2bb41c0772%2Fuk106c_processed.jpeg&w=3840&q=75)
![(d) the slope b (e) the y-intercept a (f) find
the correlation r
Instruction for entering answer:
Enter integers as integers and then any
number with decimal result only with only
two significant decimals (for example if the
answer is 10 enter as 10, if the answer is
2.15 enter as 2.15 -for answers s with more
than two decimal places enter it to decimal
places- thus if the answer is 2.1538 enter as
2.15, if the answer is 2.1583 as 2.16)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5ccab79-f0b6-4c31-8044-2bb2dd9b51b0%2F2bfb3ca4-4931-44b8-842a-6e2bb41c0772%2Fxfxpvwc_processed.jpeg&w=3840&q=75)
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