A poultry farmer that dabbles in statistics is interested in exploring the relationship between layer pellets and the output of his laying hens. For ten days he records the number of ounces of layer pellets and the number of eggs that are produced. What is his regression equation based on the data? $$\begin{array} { | c | c | }
\hline \text { Layer Pellets } & \text { Eggs } \
\hline 29 & 24 \
\hline 27 & 22 \
\hline 22 & 20 \
\hline 21 & 20 \
\hline 23 & 22 \
\hline 28 & 23 \
\hline 22 & 21 \
\hline 28 & 22 \
\hline 22 & 20 \
\hline 29 & 24 \
\hline
\end{array}$$
A)Eggs = 11.3 + 0.42Pellets
B)Eggs = 1.25 + 0.29Pellets
C)Eggs = 10.9 + 0.23Pellets
D)Eggs = 4.22 + 0.67Pellets

Question

A poultry farmer that dabbles in statistics is interested in exploring the relationship between layer pellets and the output of his laying hens. For ten days he records the number of ounces of layer pellets and the number of eggs that are produced. What is his regression equation based on the data? $$\begin{array} { | c | c | } 
\hline \text { Layer Pellets } & \text { Eggs } \
\hline 29 & 24 \
\hline 27 & 22 \
\hline 22 & 20 \
\hline 21 & 20 \
\hline 23 & 22 \
\hline 28 & 23 \
\hline 22 & 21 \
\hline 28 & 22 \
\hline 22 & 20 \
\hline 29 & 24 \
\hline
\end{array}$$
A)Eggs = 11.3 + 0.42Pellets
B)Eggs = 1.25 + 0.29Pellets
C)Eggs = 10.9 + 0.23Pellets
D)Eggs = 4.22 + 0.67Pellets

Quizplus · Accepted Answer

To find the regression equation, we calculate the slope (m) and y-intercept (b) of the line that best fits the data points. Using the given data, the correct calculation results in the equation Eggs = 11.3 + 0.42Pellets, which matches choice A. This is determined by applying the formula for the slope and intercept from linear regression analysis, which involves summing the products of the differences from the means of the x (pellets) and y (eggs) values, and dividing by the sum of the squares of the differences from the mean of the x values for the slope. The intercept is found by subtracting the product of the slope and the mean of the x values from the mean of the y values.

A Poultry Farmer That Dabbles in Statistics Is Interested in Exploring