Obtain the required confidence interval for the slope of the population regression line. You may presume that the assumptions for regression inferences are met. A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below, where x denotes seed density, and y denotes lawn quality. The standard error of the estimate is approximately 9.0736. Find a 95% confidence interval for the slope of the population regression line that relates lawn quality to seed density. x 1 1 2 3 3 3 4 5 y = 33.14+4.54x y 30 40 40 40 50 65 50 50 O A. 27.10 to 39.18 B. -0.26 to 9.34 O C. 1.30 to 10.38 OD. -1.50 to 10.58

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Obtain the required confidence interval for the slope of the population regression line. You may presume
that the assumptions for regression inferences are met. A grass seed company conducts a study to
determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality
of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density
of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are
given below, where x denotes seed density, and y denotes lawn quality. The standard error of the
estimate is approximately 9.0736. Find a 95% confidence interval for the slope of the population
regression line that relates lawn quality to seed density.
x 1 1 2 3 3 3 4 5
y = 33.14+4.54x
y 30 40 40 40 50 65 50 50
O A. 27.10 to 39.18
B.
-0.26 to 9.34
O C.
1.30 to 10.38
OD. -1.50 to 10.58
Transcribed Image Text:Obtain the required confidence interval for the slope of the population regression line. You may presume that the assumptions for regression inferences are met. A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below, where x denotes seed density, and y denotes lawn quality. The standard error of the estimate is approximately 9.0736. Find a 95% confidence interval for the slope of the population regression line that relates lawn quality to seed density. x 1 1 2 3 3 3 4 5 y = 33.14+4.54x y 30 40 40 40 50 65 50 50 O A. 27.10 to 39.18 B. -0.26 to 9.34 O C. 1.30 to 10.38 OD. -1.50 to 10.58
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