You work for a large dairy farm and are examining the farm's techniques for rearing their Holstein calves. You want to see how large the farm's Holstein calves get as they age. So, you are going to take a random sample of 6 of the calves and note the age of each calf (denoted by $x$, in months) and their weight (denoted by $y$, in kg). You will also note the product $x \cdot y$ of the age and the weight for each of the calves. (These products are written in the row labeled "$xy$").
(a) Click on "Take Sample" to see the results for your random sample.
Calf age, $x$ (in months)
12 2 7 8 5 10
Calf weight, $y$ (in kg)
335 85 211 218 143 302
$xy$
4020 170 1477 1744 715 3020
Send data to calculator
Based on the data from your sample, enter the indicated values in the column on the left below. Round decimal values to three decimal places. When you are done, select "Compute". (In the table below, $n$ is the sample size and the symbol $\sum xy$ means the sum of the values $xy$.)
$n$:
$\bar{x}$:
$\bar{y}$:
$s_x$:
Sample correlation coefficient ($r$):
Slope ($b_1$):
