Question

For each scale’s dotplot determine whether the measurements are (1) precise or imprecise, and (2) biased or unbiased

Assume the true weight of the German Shepherd is 70 lbs. We take her weight on scales, a, b, c, and d. The green dots are the measurements, whose value is on the y-axis. The x-axis has the labels for each scale a-d. For each scale's dotplot determine whether the measurements are (1) precise or imprecise, and (2) biased or unbiased Precision and Bias in Measurements 100 90- 80 - 70 Scale a is [Select ] and I Select ] Scale b is [Select ] and Select ] Scale cis Select] andSelect ] Scale d is Select ] andSelect]

Answer 1

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Guidelines :

Bias is a measure of how far the expected value of the estimate is from the true value of the parameter being estimated.

Precision is a measure of how similar the multiple estimates are to each other, not how close they are to the true value (which is bias). We can see clearly that in c and d the values

Assumed: True value is 70

So,

a has 70 as mean weight, and its data is not spread, its precise.
So, PRECISE, NOT BIASED

b has 90 as mean weight, and its data is not spread, its precise, all data points away from true mean causing bias
So, PRECISE, BIASED

c has value at true mean of 70, so it is not biased, but data points are spread, which means not precise
So, NOT PRECISE, NOT BIASED

d has value at 90 whereas true mean 70, and data points are spread, meaning not precise
So, NOT PRECISE, BIASED