Question:
A solar power company is trying to correlate the total possible hours of daylight (simply the time from sunrise to sunset) on a given day to the production from solar panels on a residential unit. They created a scatter plot for one such unit over the span of five months. The scatter plot is shown below. The equation line of best fit for this bivariate data set was: y = 2.26x + 20.01
How many kilowatt hours would the model predict on a day that has 14 hours of possible daylight?
Answer:
51.65 kilowatt hours
Step-by-step explanation:
We are given the equation line of best fit for this data as:
y = 2.26x + 20.01
On a day that has 14 hours of possible daylight, the model prediction will be calculated as follow:
Let x = 14 in the equation.
Therefore,
y = 2.26x + 20.01
y = 2.26(14) + 20.01
y = 31.64 + 20.01
y = 51.65
On a day that has 14 hours of daylight, the model would predict 51.65 kilowatt hours
Step-by-step explanation:
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Adding the two equations, you get that 3x=9, so x=3. Since there is only one value of x, there is only one solution.
Answer:
a) 21%
b) 45.5%
c) 26.4%
Step-by-step explanation:
Given the supplied information, a table of probabilities can be constructed. (See the attachment.) The numbers across the bottom reflect the given ratios of customers selecting the different gas types. The numbers in the cells are those bottom numbers multiplied by the percentage that fill the tank (or not). The numbers on the right are the sums of the numbers in each row.
a) The top center cell in the table answers this question. It it the product ...
p(plus)×p(fill | plus) = 0.35×0.60 = 0.21 = 21%
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b) The sum on the right answers this question:
p(fill) = 45.5%
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c) The ratio of the first column number (12%) to the row sum for Fill (45.5%) answers this question:
p(regular | fill) = 12%/45.5% ≈ 26.4%
Answer:
x = 190
Step-by-step explanation:
x - 68 = 122
x = 122 + 68
x = 190