Statistics and Probability - Interpreting Categorical and Quantitative Data
PrintExample Problems
Identify any outliers from the following table:
| Data Value |
|---|
| 84 |
| 7 |
| 9 |
| 8 |
An ornithologist wants to look at the relationship between the breadth of peregrine falcon eggs and the mass of the falcon chicks that hatch from them. The data show a linear pattern with the summary statistics shown below:
Find the equation of the least-squares regression line for predicting the chick's mass from the breadth of the egg, in the form .
Round your entries to the nearest hundredth.
| mean | standard deviation | |
|---|---|---|
| x = egg breadth (mm) | ||
| y = chick's mass (g) | ||
Find the equation of the least-squares regression line for predicting the chick's mass from the breadth of the egg, in the form .
Round your entries to the nearest hundredth.
A tutoring center director wants to look at the relationship between hours of tutoring and final grades. The data show a linear pattern with the summary statistics shown below:
Find the equation of the least-squares regression line for predicting the final grade (points) from the hours of tutoring, in the form .
Round your entries to the nearest hundredth.
| mean | standard deviation | |
|---|---|---|
| = hours of tutoring | ||
| = final grade (points) | ||
Find the equation of the least-squares regression line for predicting the final grade (points) from the hours of tutoring, in the form .
Round your entries to the nearest hundredth.
What is the mean of the following numbers?
A fishery biologist recorded the length of trout, in centimeters, and their weight, in grams.
After plotting her results, the biologist noticed that the relationship between the two variables was fairly linear, so she used the data to calculate the following least squares regression equation for predicting weight, in grams, from length, in centimeters:
What is the residual for a trout that is long and weighs ?
After plotting her results, the biologist noticed that the relationship between the two variables was fairly linear, so she used the data to calculate the following least squares regression equation for predicting weight, in grams, from length, in centimeters:
What is the residual for a trout that is long and weighs ?

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