Help me with this please and thank you
1 answer:
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Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Age(x)
7
8
5
8
8
7
7
7
9
8
5
8
6
5
8
Height (Y)
47.3
48.8
41.3
50.4
51
47.1
46.9
48
51.2
51.2
40.3
48.9
45.2
41.9
49.6
The estimated regression equation:
ŷ = 2.73953X + 27.91395
Where ;
X = independent variable
ŷ = predicted or dependent variable
27.91395 = intercept
C.) To obtain the variation in sample values of height estimated by the model, we obtain the Coefficient of correlation:
Using the online pearson correlation Coefficient calculator :
The correlation Coefficient is 0.9696.
which means that the regression model estimated in part (b) explains approximately (0.9696 * 100) = 96.96% = 97% of the variation in the height in the sample.
Answer:
Using sine ratio:
As per the statement:
The angle of elevation from Sara to kite in the sky is 53° and the length of the string is 32 feet. and Sara is 5 feet tall.
⇒Angle of elevation( ) = 53° and
Hypotenuse side = 32 feet (As you can see the figure as shown below)
then;
Apply the sine ratio in triangle ACE we have;
Multiply both sides by 32 we get;
Simplify:
CE = 25.5563363215 feet.
Then:
DE = CD+CE = 5 + 25.5563363215 = 30.5563363215 ≈30.6 feet.
Therefore, 30.6 feet far off the ground is the kite.
