Answer:
SSE = 127.3
SST= 281.2
SSR = 153.9
R² = 0.5473
% = 54.73%
r= +0.7398
Step-by-step explanation:
xi yi Y^ (Yi-Y^)² (Yi-Y`)²
2 7 7.6 + 0.9(2) (7-9.4)² (7-16.6)²
= 9.4 = 5.76 92.16
6 18 7.6 + 0.9(6) (18-13)² (18-16.6)²
= 13 =25 1.96
9 9 7.6 + 0.9(9) (9-15.7)² (18-16.6)²
= 15.7 =44.89 57.76
13 26 7.6 + 0.9(13) (26-19.3)² (18-16.6)²
= 19.3 = 44.89 88.36
20 23 7.6 + 0.9(20) (23-25.6)² (18-16.6)²
<u> = 25.6 = 6.76 40.96 </u>
<u>∑50 83 83 127.3 281.2 </u>
Y~= ∑yi/n= 83/5= 16.6
SSE = ∑ (Yi-Y^)² = 127.3
SST= ∑(Yi-Y`)²=281.2
SST = SSR + SSE
SSR = SST- SSE
= 281.2- 127.3= 153.9
Co -efficient of determination= R² = SSR/ SST= 153.9/ 281.2= 0.5473
The regression equation is explained by 54.73 % of the total sum of squares.
The linear correlation coefficient is the square root of the co -efficient of determination
r= ±√r²= √0.5473= +0.7398
We only consider the positive value for the linear correlation coefficient to be positive.
Answer:
$389.73 in change
Step-by-step explanation
500-( (18.95 x 3)+(26.71 x 2) )=
500-(56.85+53.42)=
500-110.27=
389.73
<h3>
Answer: 65/63</h3>
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Explanation:
Draw a right triangle in the first quadrant, aka northeast quadrant, as shown in the diagram below.
Cosecant involves the ratio of hypotenuse over opposite. It's the reciprocal of sine
sin(angle) = opposite/hypotenuse
csc(angle) = hypotenuse/opposite
since csc = 1/sin
Use the pythagorean theorem to solve for b in the diagram
a^2+b^2 = c^2
16^2+b^2 = 65^2
256+b^2 = 4225
b^2 = 4225-256
b^2 = 3969
b = sqrt(3969)
b = 63
So this is the adjacent side. The secant ratio involves hypotenuse over adjacent (it's the reciprocal of cosine).
sec(angle) = hypotenuse/adjacent
sec(A) = 65/63
Answer:
6 pieces
Step-by-step explanation:
4/4 - 1/4 = 3/4
(3/4) / (1/8) = (3/4) * (8/1) = 24/4 = 6