Lamb’s-quarter is a common weed that interferes with the growth of corn. An agricultural researcher planted corn at the same rate in 16 small plots of land, then weeded the plots by hand to allow a fixed number of lamb’s-quarter plants to grow in each meter of corn row. No other weeds are allowed to grow. Weeds per meter = Mean (3.25) SD (3.61) Yield = Mean (162.9125) SD (8.66) I f the correlation between the variables is -.457, answer the following questions. (a) What is the equation of the regression line? Write your answer in terms of the variables. (b) Interpret the slope in terms of the problem. (c) Does it make sense to interpret the y−intercept? If it does, interpret the intercept in terms of the problem.
Lamb’s-quarter is a common weed that interferes with the growth of corn. An agricultural researcher planted corn at the same rate in 16 small plots of land, then weeded the plots by hand to allow a fixed number of lamb’s-quarter plants to grow in each meter of corn row. No other weeds are allowed to grow.
Weeds per meter = Mean (3.25) SD (3.61)
Yield = Mean (162.9125) SD (8.66) I
f the
(a) What is the equation of the regression line? Write your answer in terms of the variables.
(b) Interpret the slope in terms of the problem.
(c) Does it make sense to interpret the y−intercept? If it does, interpret the intercept in terms of the problem.
(d) What proportion of the variation in yield is explained by the equation of the regression line?
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