19. In the above plot, a rejection of the null hypothesis that the population regression slope is equal to 0 implies: a) the correlation coefficient in the population is likely equal to 0 b) the correlation coefficient in the population is likely unequal to 0 c) the standard deviation of height is likely very large d) the standard deviation of weight is likely very small e) the correlation coefficient must be close to 1.0 f) a and c g) b and e h) b, d and e
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.
![19. In the above plot, a rejection of the null hypothesis that the population regression slope is
equal to 0 implies:
a) the correlation coefficient in the population is likely equal to 0
b) the correlation coefficient in the population is likely unequal to 0
c) the standard deviation of height is likely very large
d) the standard deviation of weight is likely very small
e) the correlation coefficient must be close to 1.0
f) a and c
g) b and e
h) b, d and e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73ff3281-a293-4d9c-89a8-5d9ec1207013%2F0c86d287-66e5-4d80-a433-e9f80c4b83ab%2Fypwqlkn_processed.png&w=3840&q=75)
![Regression Line with Slope and Intercept
Parameter Estimates
Intercept= -143
140 - Slope= 3.899
120
100
80
60
50
55
60
85
70
Haight
Weight
of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73ff3281-a293-4d9c-89a8-5d9ec1207013%2F0c86d287-66e5-4d80-a433-e9f80c4b83ab%2Fegw7ydm_processed.png&w=3840&q=75)
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