Answer:
Both types of lines are built on the same plane although they meet different objectives for which they are built.
Step-by-step explanation:
The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.
15% of a number is 45
15% × x = 45
x = 45 ÷ 15%
x = 45 ÷ 15/100
x = 45 × 100/15
x = 4500/15
x = 300
Check:
15% × 300
= 15/100 × 300
= 15 × 3
= 45
45 is 15% of 300.
The slope of the least squares regression line is 1.0 and the y-intercept is 6.3
<h3>How to determine the slope?</h3>
To do this, we enter the data values in a graphing calculator, and we interpret the results:
Using a graphing calculator, we have the following calculation summary
- Sum of X = 83
- Sum of Y = 123
- Mean X = 13.8333
- Mean Y = 20.5
- Sum of squares (SSX) = 356.8333
- Sum of products (SP) = 365.5
- R = 0.8728
The slope (b) is calculated using:
b = SP/SSX
This gives
b = 365.5/356.83
b = 1.0
Hence, the slope is 1.0
<h3>How to determine the y-intercept?</h3>
The y-intercept (a) is calculated using:
a = MY - bMX
a = 20.5 - (1.02*13.83)
a = 6.3
Hence, the y-intercept is 6.3
<h3>How to determine the correlation coefficient?</h3>
In (a), we have:
R = 0.8728
Approximate
R = 0.9
This means that the correlation coefficient is 0.9
Read more about regression at:
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three hundred and ten billion seven hundred and sixty three thousand one hundred and sixty three
Around 5.9 since if u divide 5.2 by 7 it would .74 just multiply that by 7 and round ur answers.