In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel
s per acre). Which is the best predicted value for y given x = 7.1? Assume that the variables x and y have a significant correlation.
Rainfall (in inches)(x): 10.5,8.8,13.4,12.5,18.8,10.3,7.0,15.6,16.0
Yield (bushels per acre) (y): 50.5,46.2,58.8,59.0,82.4,49.2,31.9,76.0,78.8
A. 35.4, B. 35.2, C. 35.7, D. 35.9
Rainfall (in inches)(x): 10.5,8.8,13.4,12.5,18.8,10.3,7.0,15.6,16.0
Yield (bushels per acre) (y): 50.5,46.2,58.8,59.0,82.4,49.2,31.9,76.0,78.8
A. 35.4, B. 35.2, C. 35.7, D. 35.9
1 answer:
Answer:
Option A is correct.
y = 35.4 bushels per acre when rainfall = 7.1 inches
Step-by-step explanation:
An image of the steps to obtain the equation that relates x to y is attached to this answer.
n = number of variables = 9
μₓ = mean of variable x (rainfall in inches)
μᵧ = mean of variable y (yield in bushels per acre)
σₓ = standard deviation of variable x (rainfall in inches)
σᵧ = standard deviation of variable y (yield in bushels per acre)
y = 4.379x + 4.268
when x = 7.1
y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.
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Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
Using simple interest, it is found that:
- The total amount paid was of $7,084.8.
- The finance charge was of $584.8.
- The simple interest rate was of 3%.
Simple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
In which:
- P is the initial amount.
- r is the interest rate, as a decimal.
In this problem, the amount paid was of 36 monthly payments of
$196.80, hence:
36 x 196.80 = $7084.8.
The total amount paid was of $7,084.8.
The original price is of $6,500, hence the finance charge was of:
7084.8 - 6500 = $584.8.
For interest, we have that:
, hence:
The simple interest rate was of 3%.
More can be learned about simple interest at brainly.com/question/25296782