5- According to the summary result of linear regression model between A and B obtained from R given below, we can fit a regression line. Assume that A has any value. If we decrease the value of A by 3, how would Y be affected? Call: 1m (formula - B- A) Residuals: Min 10 Median 30 Max -16.340 -10.793 -9.653 -8.502 58.325 Coefficients: Estimate Std. Error t value Pr (>It|) (Intercept) 19.6315 20.6457 0.951 0.373 A 9.9609 0.3717 26.800 2.58e-08 *** Signif. codes: 0 **** 0.001 *** 0.01 * 0.05 , 0.1 1 Residual standard error: 26.46 on 7 degrees of freedom 0.9903, Adjusted R-squared: 0.989 Multiple R-squared: F-statistic: 718.2 on 1 and 7 DF, p-value: 2.58le-08 a) 29.8827 increase b) 29.8827 decrease c) 58.8945 increase d) 49.5142 decrease e) 58.8945 decrease Leave blank
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.
 alt="5- According to the summary result of linear regression model between A and B obtained from R given below, we can fit
a regression line. Assume that A has any value. If we decrease the value of A by 3, how would Y be affected?
Call:
1m (formula = B A)
Residuals:
Min
10 Median
30
Max
-16.340 -10.793
-9.653
-8.502
58.325
Coefficients:
Estimate Std. Error t value Pr(>1t|)
20.6457
(Intercept)
19.6315
0.951
0.373
A
9.9609
0.3717
26.800 2.58e-08 ***
Signif. codes:
0 *** 0.001 ** 0.01 * 0.05, 0.1 1
Residual standard error: 26.46 on 7 degrees of freedom
Adjusted R-squared:
p-value: 2.58le-08
0.989
Multiple R-squared:
F-statistic: 718.2 on 1 and 7 DF,
0.9903,
a)
29.8827 increase
b)
29.8827 decrease
C)
58.8945 increase
d)
49.5142 decrease
e)
58.8945 decrease
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