e)* Does a linear regression function appear to give a good fit here? Compare and contrast with the following iris setosa data set. Which model do you think will yield more accurate predictions? Explain. length (x): 5.1 4.9 4.7 4.6 5.0 5.4 4.6 5.0 4.4 4.9 5.4 4.8 4.8 4.3 5.8 5.7 5.4 5.1 5.7 5.1 width (y): 3.5 3.0 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 3.7 3.4 3.0 3.0 4.0 4.4 3.9 3.5 3.8 3.8 f) Obtain a point estimates for both models of the mean sepal width when sepal length = 3.7. g) Obtain a point estimates for both models of the change in mean of sepal width when sepal length grows by 1 cm.

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can you please help me solve sub-parts e, f, g

A random sample of 20 observations from iris species versicolor was obtained to
determine the association between sepal length (cm) and sepal width (cm). The collected
data are presented below:
length (x): 7.0 6.4 6.9 5.5 6.5 5.7 6.3 4.9 6.6 5.2 5.0 5.9 6.0 6.1 5.6 6.7 5.6 5.8 6.2 5.6
width (y): 3.2 3.2 3.1 2.3 2.8 2.8 3.3 2.4 2.9 2.7 2.0 3.0 2.2 2.9 2.9 3.1 3.0 2.7 2.2 2.5
a)* Obtain an appropriate graph to display the data. Does a simple linear regression model
appear to be an appropriate model? Explain.
T = 5.975, j = 2.76, E-1X;Yi =
155.06,
332.51, Σ1 - 720.93, Σ
SSE = 1.66
b) Calculate the least squares estimates for the regression coefficients and
provide the fitted regression equation.
c) Interpret the estimated regression coefficients.
d) Calculate the least squares estimate for o².
e)* Does a linear regression function appear to give a good fit here? Compare
and contrast with the following iris setosa data set. Which model do you
think will yield more accurate predictions? Explain.
length (x) : 5.1 4.9 4.7 4.6 5.0 5.4 4.6 5.0 4.4 4.9 5.4 4.8 4.8 4.3 5.8 5.7 5.4 5.1 5.7 5.1
width (y): 3.5 3.0 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 3.7 3.4 3.0 3.0 4.0 4.4 3.9 3.5 3.8 3.8
Obtain a point estimates for both models of the mean sepal width when
sepal length
3.7.
g) Obtain a point estimates for both models of the change in mean of sepal
width when sepal length grows by 1 cm.
Transcribed Image Text:A random sample of 20 observations from iris species versicolor was obtained to determine the association between sepal length (cm) and sepal width (cm). The collected data are presented below: length (x): 7.0 6.4 6.9 5.5 6.5 5.7 6.3 4.9 6.6 5.2 5.0 5.9 6.0 6.1 5.6 6.7 5.6 5.8 6.2 5.6 width (y): 3.2 3.2 3.1 2.3 2.8 2.8 3.3 2.4 2.9 2.7 2.0 3.0 2.2 2.9 2.9 3.1 3.0 2.7 2.2 2.5 a)* Obtain an appropriate graph to display the data. Does a simple linear regression model appear to be an appropriate model? Explain. T = 5.975, j = 2.76, E-1X;Yi = 155.06, 332.51, Σ1 - 720.93, Σ SSE = 1.66 b) Calculate the least squares estimates for the regression coefficients and provide the fitted regression equation. c) Interpret the estimated regression coefficients. d) Calculate the least squares estimate for o². e)* Does a linear regression function appear to give a good fit here? Compare and contrast with the following iris setosa data set. Which model do you think will yield more accurate predictions? Explain. length (x) : 5.1 4.9 4.7 4.6 5.0 5.4 4.6 5.0 4.4 4.9 5.4 4.8 4.8 4.3 5.8 5.7 5.4 5.1 5.7 5.1 width (y): 3.5 3.0 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 3.7 3.4 3.0 3.0 4.0 4.4 3.9 3.5 3.8 3.8 Obtain a point estimates for both models of the mean sepal width when sepal length 3.7. g) Obtain a point estimates for both models of the change in mean of sepal width when sepal length grows by 1 cm.
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