Answer:
0.9168
4th data point.
Step-by-step explanation:
Using the estimated data point culled from the attached graph, the correlation Coefficient for the plotted regression data should be approximately 0.9168 which depicts that a strong positive correlation exists between the Electricity bill ($) and the time spent at home because the Coefficient obtained is very close to 1. And the measure if the strength of a relationship using the correlation Coefficient is how close the R value is to either ±1.
The electricity bill that should be ignored to improve the correlation Coefficient is the 4tg data point on the graph as it is farthest away from the regression line when compared to other points.
Answer:
12.86 sq ft
Step-by-step explanation:
Find area of square and subtract out area of semi-circle; the diameter of the semi-circle equals the side of the square, which is 4 so radius is 2
A(square) = 4 x 4 = 16
A(semi-circle) = πr²/2
= 4π/2 or 2π
Area of Shaded Region = 16-3.14 which is 12.86
Answer:
Step-by-step explanation:
Corresponding scores before and after taking the course form matched pairs.
The data for the test are the differences between the scores before and after taking the course.
μd = scores before taking the course minus scores before taking the course.
a) For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
b) We would assume a significance level of 0.05. The P-value from the test is 0.65. The p value is high. It increases the possibility of accepting the null hypothesis.
Since alpha, 0.05 < than the p value, 0.65, then we would fail to reject the null hypothesis. Therefore, it does not provide enough evidence that scores after the course are greater than the scores before the course.
c) The mean difference for the sample scores is greater than or equal to zero
Step-by-step explanation:
see the pic for the answer
Answer:
isosceles: 2 angles are the same and 2 sides are the same. Equilateral have all the same sides and angles. Saclene have all dfferent angles and sides.
11) isosceles
12) equilateral
13) isosceles or scalene unclear
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