Charlie guesses that his dog weighs 34. 5 pounds. The dog actually weighs 32. 7 pounds. What is the percent error in Charlie’s g
1 answer:
Percent error is the amount of error to actual value, in percent. The percent error in Charlie’s guess is approximately: Option D: 5.5%
<h3>How to calculate the percent error?</h3>Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.
(here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5)
For the given case, it is specified that:
Actual weight of dog = 32.7 pounds
Guessed weight of dog, by Charlie : 34.5 pounds.
Error = 32.7 - 34.5 = -1.8 pounds
Thus, percent error in Charlie's guess is calculated as:
Hence, the percent error in Charlie’s guess is obtained approximately is given by: Option D: 5.5%
Learn more about percent error here:
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Answer:
a)
b)
So the calculated value is 0.9 points above the actual value.
%
And the calculated value it's 0.537% higher than the actual value.
c) For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.
Step-by-step explanation:
Data given
1982 , CPI=100
1986, CPI = 191.2
Notation
Let CPI the dependent variable y. And the time th independent variable x.
For this case we want to adjust a linear model givn by the following expression:
Solution to the problem
Part a
For this case we can find the slope with the following formula:
And if we replace we got:
Let X represent the number of years after. Then for 1982 t = 0, and if we replace we can find b:
And then
So then our linear model is given by:
Part b
For this case we need to find the years since 1982 and we got x = 2000-1982=18, and if we rpelace this into our linear model we got:
And the actual value is 167.5 we can compare the result using absolute change or relative change like this:
So the calculated value is 0.9 points above the actual value.
And we can find also the relative change like this:
And if we replace we got:
%
And the calculated value it's 0.537% higher than the actual value.
Part c
For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.
