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1 answer:
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Part A. The correlation coefficient, denotes as R^2, is a measure of how well does the data point correlate with a given model or equation. The closer the R^2 is to 1, the better is the correlation. However, R2=1 is ideal for scatter plots. Using the MS Excel to execute the regression, the data points was fitted to a quadratic equation. The R2=0.9983. From the choices, the closest answer would be 1. But as stated previously, a value of 1 is ideal only. Therefore, the answer is most likely 0.94,
Part B. To determine the slope, the equation would be Δy/Δx. For x=5 and x=10, the slope would be
Slope = (3-1)/(10-5) = 2/5 or 0.4. This is the instantaneous rate of change at the interval of 5 to 10 days.
Part C. The difference between causation and correlation is identifiable if you know the direct relationship between the variables. In this case, the increase in radius is not caused by time. The problem does not state so. But we know from the trend shown on a graph, that there is a correlation between these variables. Therefore, the answer is correlation.
Part B. To determine the slope, the equation would be Δy/Δx. For x=5 and x=10, the slope would be
Slope = (3-1)/(10-5) = 2/5 or 0.4. This is the instantaneous rate of change at the interval of 5 to 10 days.
Part C. The difference between causation and correlation is identifiable if you know the direct relationship between the variables. In this case, the increase in radius is not caused by time. The problem does not state so. But we know from the trend shown on a graph, that there is a correlation between these variables. Therefore, the answer is correlation.
<h3>Therefore the cost of 5.5 pound of peaches is $ 6.60.</h3>
Step-by-step explanation:
Given , the total price of a bag of peaches varies directly with the cost per pound. If 3 pound of peaches cost $3.60.
Therefore,
.......(1) [ k is a constant]
cost = $3.60 when beg of peaches = 3 pounds
Therefore the equation (1) becomes
When beg of peaches = 5.5 pound
Therefore the cost of 5.5 pound of peaches is $ 6.60.
Answer: 879.20 km²
<u>Step-by-step explanation:</u>
The diameter of the big circle is 2(10) + 18 = 38
divide the diameter by 2 to get the radius (r) = 19
Area (A) = π·r²
= π(19)²
= 361π
The diameter of the small circle is 18
divide the diameter by 2 to get the radius (r) = 9
Area (A) = π·r²
= π(9)²
= 81π
The area of the shaded region is the difference between the big circle and the small circle.
= 361π - 81π
= 280π
= 280(3.14)
= 879.20