For a set of data, x is the explanatory variable. Its mean is 8.2, and its standard deviation is 1.92. For the same set of data, y is the response variable. Its mean is 13.8, and its standard deviation is 3.03. The correlation was found to be 0.223.Select the correct slope and y-intercept for the least-squares line.
a. Slope = -0.35
y-intercept = -10.9
b. Slope = -0.35
y-intercept = 10.9
c. Slope = 0.35
y-intercept = -10.9
d. Slope = 0.35
y-intercept = 10.9
Answers
Slope & Intercept are : D) 0.35 , 10.9
Regression is the relationship between explanatory (independent) & dependent variable, which are x & y respectively.
The regression equation y = a + bx + c has intercept & slope a & b respectively , formula for finding them are as follows :
b = r ( σy / σ x )
0.223 ( 3.03 / 1.92 )
= 0.223 (1.578125)
= 0.3519
a = Y' - bX'
a = 13.8 - 0.3519 ( 8.2 )
= 13.8 - 2.8558
= 10.91
Regression Equation : y = 10.9 + 0.35x
To learn more, refer brainly.com/question/7656407?referrer=searchResults
Answer:
d. Slope = 0.35
y-intercept = 10.9
Step-by-step explanation:
The computation is shown below:
Data given in the question
Mean = 8.2
The standard deviation of x = = 1.92
Mean = 13.8
The standard deviation of y = = 3.03
The correlation = r = 0.223
Based on the above information,
As we know that
The slope is
= 0.3519
Now the y-intercept is
= 13.8 - (0.351922) 8.2
= 13.8 - 2.88579
= 10.91
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the answer is 8a
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becuase the numbers are simply being added, you can just add 3+5.
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median = 7
range = 9
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3, 5, 6, 7, 7, 9, 12
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Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
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