Answer:
Check the explanation
Step-by-step explanation:
A) We use Minitab to solve the question.
The correlation matrix is,
Correlation: Level of Education, Work Experience, Annual Income ($ ,000s)
Work Experience Level of Education
Level of Education -0.042 0.463
Annual Income ($ 0.463 0.756
From correlation matrix there is no any reason to concern multicoinearity.
B)
The Regression Analysis: Annual Income ($ Thousands) vs Work Experience and Level of Education
Analysis of Variance
Source D F Adj SS Adj MS F-Value P-Value
Regression 2 5577 2788.4 19.96 0.000
Work Experience 1 1675 1674.7 11.99 0.007
Level of Education 1 4114 4114.1 29.44 0.000
Error 9 1257 139.7
Total 11 6834
Model Summary
S R-sq R-sq(adj) R-sq(pred)
11.8204 81.60% 77.51% 69.81%
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant -15.2 10.2 -1.49 0.171
Work Experience 1.545 0.446 3.46 0.007 1.00
Level of Education 5.57 1.03 5.43 0.000 1.00
E)
The value of R-sq is 81.60% & R-sq (adj) is 77.51% indicates that adequacy of the fitted model is good.
G & H )
Coefficients
Term Coef SE Coef T-Value P-Value
Constant -15.2 10.2 -1.49 0.171 > 0.05 (significant)
Work Experience 1.545 0.446 3.46 0.007 > 0.05 (significant) ______Reject H0 B1 = 0
Level of Education 5.57 1.03 5.43 0.000 < 0.05 (Not Significant) ______do not Reject H0 B2 = 0
H)
Regression Equation
Annual Income ($ Thousands) = -15.2 + 1.545 Work Experience + 5.57 Level of Education
= -15.2 + 1.545 * 12 + 5.57 * 4
= 25.62
I & J)
Regression Equation
Annual Income ($ Thousands) = -15.2 + 1.545 Work Experience + 5.57 Level of Education
Variable Setting
Work Experience 12
Level of Education 4
Predicted Income is 25.5649 thousands:
Kindly check the attached image below.
Fit SE Fit 95% CI 95% PI
25.5649 4.42545 (15.5538, 35.5759) (-2.98733, 54.1170)
Answer:
Step-by-step explanation:
We are given that,
The fall of the acorn is represented by the function,
Equating S(t) to 0 gives,
i.e.
i.e.
i.e.
Since, time cannot be negative.
So, i.e. 1.25 seconds is the time when the acorn will reach the ground.
Thus, from the figure below, we see that,
The interval in which the acorn is in the moving air is .
Check the picture below.
Height of the kite is = 36 inches.
Width of the kite is = 30 inches
One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .
Now we will use the formula to find the area of each triangle. Then we will add both the areas to find the area of the kite.
Area of 1 triangle = = 270 square inches
Area of the 2nd triangle is also = 270 square inches
Hence, area of the kite = 270+270 = 540 square inches