Respuesta :
Answer:
d. Slope = 0.35
y-intercept = 10.9
Step-by-step explanation:
The computation is shown below:
Data given in the question
Mean [tex]\bar X[/tex] = 8.2
The standard deviation of x = [tex]\sigma[/tex] = 1.92
Mean [tex]\bar Y[/tex] = 13.8
The standard deviation of y = [tex]\sigma[/tex] = 3.03
The correlation = r = 0.223
Based on the above information,
As we know that
The slope is
[tex]b = r \frac{\sigma y }{\sigma x} \\\\ = (0.223) (\frac{3.03}{1.92} \\\\ = (0.223) (1.578125)[/tex]
= 0.3519
Now the y-intercept is
[tex]a = \bar Y - b \bar X \\\\[/tex]
= 13.8 - (0.351922) 8.2
= 13.8 - 2.88579
= 10.91
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 https://brainly.com/question/7656407?referrer=searchResults
