The answer to this question is 1 1/3
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:
brainly.com/question/17844286
#SPJ1
Answer:
Step-by-step explanation:
Given:
As seen from the triangle, the triangle is a right angled triangle. Two sides of the triangle are given and we are asked to find the third side.
'x' is the hypotenuse as this side is opposite side to the right angled.
'y' and 'z' are the two legs of the triangle.
Now, using pythagoras theorem,
Therefore, the measure of the side 'z' is .
Hence, the third option is correct.
Answer: Kremena needs to deposit $1,101 today to earn a total of $1,250 in 3 years at 4.5% simple interest rate
Step-by-step explanation:
Interest = Principal (P) × Rate (R) × Time (T)
Amount = Principal (P) + Interest
Amount = P + PRT
Amount = P (1 + RT)
1250 = P (1 + (0.045 × 3))
1250 = P (1 + 0.135)
1250 = P (1.135)
Principal = 1250 ÷ 1.135
Principal = approx. 1101
