Question

The farm manager does an experiment by putting different number of cows into identical fields for three days each. At the end of the time he measures the length of the remaining grass in a number of places in each field in order to arrive at an average grass length for that field. The results are as follows: Number of cows in field | Average grass length after 3 days (cm) ---|---| 20 | 60 30 | 40 40 | 37 50 | 28 60 | 12 70 | 10 80 | 7 Determine, to 2 d.p. the correlation coefficient and comment on what it tells you about the relationship between the number of cows and the average grass length after three days. (3) Determine the equation of the least squares regression line (the line of best fit) using $x$ to represent the number of cows and $y$ to represent the average grass length after three days. (3) The farm manager wonders about using the model in (2) to determine the average grass length after three days for more than 80 cows. Comment on this. (1)

          The farm manager does an experiment by putting different number of cows into identical fields for three days each. At the end of the time he measures the length of the remaining grass in a number of places in each field in order to arrive at an average grass length for that field. The results are as follows:

Number of cows in field | Average grass length after 3 days (cm)
---|---|
20 | 60
30 | 40
40 | 37
50 | 28
60 | 12
70 | 10
80 | 7

Determine, to 2 d.p. the correlation coefficient and comment on what it tells you about the relationship between the number of cows and the average grass length after three days. (3)

Determine the equation of the least squares regression line (the line of best fit) using $x$ to represent the number of cows and $y$ to represent the average grass length after three days. (3)

The farm manager wonders about using the model in (2) to determine the average grass length after three days for more than 80 cows. Comment on this. (1)

the farm manager does an experiment by putting different number of cows into identical fields for three days each at the end of the time he measures the length of the remaining grass in a nu 56647

Added by Jorge A.

Question

Please give Ace some feedback