A wine connoisseur has decided to analyze whether there are differences in fixed acidity, chlorides, and pH between white wines and red wines (0= white and 1= red). Let X₁ correspond to fixed acidity, X₂ correspond to chlorides, and X3 correspond to pH. Use the accompanying data to complete parts (a) through (d) below. Click the icon to view the wine data. (a) Develop a logistic regression model to predict whether the wine is red based on the fixed acidity, chlorides, and pH. In(Estimated odds ratio) = + 0×₁i+×2i + X3i (Round the constant term and the coefficient for X₂; to one decimal place as needed. Round the coefficient for X₁; to three decimal places as needed. Round the coefficient for X3; to two decimal places as needed.) (b) Explain the meaning of the regression coefficients in the model developed in (a). Start with the fixed acidity coefficient. Holding constant the effects of chloride and pH, for each increase of one point in (Round to three decimal places as needed.) Explain the meaning of the chloride coefficient. Holding constant the effects of fixed acidity and pH, for each increase of one point in (Round to one decimal place as needed.) Explain the meaning of the pH coefficient. Holding constant the effects of fixed acidity and chloride, for each increase of one point in (Round to two decimal places as needed.) (c) Predict the probability that a wine is red if it has a fixed acidity of 7.6, chlorides of 0.04, and pH of 3.6. Ho: The model H₁: The model a good-fitting model. a good-fitting model. The probability that the wine is red is. (Round to three decimal places as needed.) (d) At the 0.05 level of significance, is there evidence that the logistic regression model developed in (a) is a good fitting model? Determine the hypotheses for this test. The deviance statistic is. (Round to two decimal places as needed.) The p-value for the deviance is. (Round to three decimal places as needed.) Choose the correct conclusion below. Ho. There evidence to suggest that the model it is estimated that a good-fitting model. it is estimated that it is estimated that will increase by will increase by. will increase by

A wine connoisseur has decided to analyze whether there are differences in fixed acidity, chlorides, and pH between white wines and red wines (0= white and 1= red). Let X₁ correspond to fixed acidity, X₂ correspond to chlorides, and X3 correspond to pH. Use the accompanying data to complete parts (a) through (d) below. Click the icon to view the wine data. (a) Develop a logistic regression model to predict whether the wine is red based on the fixed acidity, chlorides, and pH. In(Estimated odds ratio) = + 0×₁i+×2i + X3i (Round the constant term and the coefficient for X₂; to one decimal place as needed. Round the coefficient for X₁; to three decimal places as needed. Round the coefficient for X3; to two decimal places as needed.) (b) Explain the meaning of the regression coefficients in the model developed in (a). Start with the fixed acidity coefficient. Holding constant the effects of chloride and pH, for each increase of one point in (Round to three decimal places as needed.) Explain the meaning of the chloride coefficient. Holding constant the effects of fixed acidity and pH, for each increase of one point in (Round to one decimal place as needed.) Explain the meaning of the pH coefficient. Holding constant the effects of fixed acidity and chloride, for each increase of one point in (Round to two decimal places as needed.) (c) Predict the probability that a wine is red if it has a fixed acidity of 7.6, chlorides of 0.04, and pH of 3.6. Ho: The model H₁: The model a good-fitting model. a good-fitting model. The probability that the wine is red is. (Round to three decimal places as needed.) (d) At the 0.05 level of significance, is there evidence that the logistic regression model developed in (a) is a good fitting model? Determine the hypotheses for this test. The deviance statistic is. (Round to two decimal places as needed.) The p-value for the deviance is. (Round to three decimal places as needed.) Choose the correct conclusion below. Ho. There evidence to suggest that the model it is estimated that a good-fitting model. it is estimated that it is estimated that will increase by will increase by. will increase by

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Type of Wine	Fixed Acidity	Chlorides	pH
White	5.5	0.049	3.32
White	9.1	0.021	3.04
White	7.7	0.029	3.09
White	6.4	0.034	3.36
White	7.4	0.037	3.51
White	7	0.04	3.18
White	6.9	0.147	3
White	7.7	0.042	3
White	7	0.038	3.11
White	7.5	0.051	3.08
White	6.6	0.023	3.46
White	5.9	0.041	3.68
White	6.1	0.067	3.22
White	7.3	0.055	3.16
White	5.8	0.039	3.29
White	7	0.034	3.38
White	6.4	0.041	3.05
White	5.9	0.064	3.14
White	8	0.043	3.39
White	8.1	0.045	2.86
White	9	0.031	3
White	7	0.045	3.35
White	7.9	0.059	2.98
White	8	0.03	3.09
White	5.2	0.037	3.29
White	7.5	0.038	3
White	8	0.059	3.11
White	6.4	0.031	3.11
White	7.8	0.051	3.16
White	6.5	0.051	3.24
White	7.3	0.051	3.27
White	7.2	0.084	3.3
White	6.5	0.041	3.47
White	7	0.058	3.67
White	6.7	0.057	3.16
White	6.7	0.02	3.39
White	6.8	0.069	3.12
White	6.4	0.037	3.5
White	6.3	0.024	3.19
White	6.2	0.034	3.27
White	7.1	0.044	3.42
White	7.3	0.037	2.95
White	8.8	0.059	3.24
White	4.8	0.011	3.35
White	6.4	0.052	3.09
White	6.1	0.055	3.24
White	7.8	0.063	2.98
White	6.5	0.054	3.2
White	7.2	0.039	2.92
White	6.9	0.037	3.51
Red	11.9	0.071	3.08
Red	7.8	0.054	3.34
Red	10	0.069	3.24
Red	9.3	0.087	3.37
Red	7.6	0.085	3.38
Red	8.7	0.071	3.29
Red	8	0.094	3.5
Red	10.5	0.072	3.07
Red	6.2	0.071	3.57
Red	9.9	0.081	3.02
Red	6.7	0.11	3.41
Red	7.7	0.078	3.32
Red	6.5	0.077	3.47
Red	7.3	0.092	3.44
Red	10.2	0.167	3.11
Red	6.9	0.066	3.34
Red	9.5	0.063	3.41
Red	7.5	0.064	3.4
Red	7.8	0.063	3.43
Red	6.3	0.082	3.42
Red	9	0.049	3.27
Red	8.6	0.096	3.29
Red	6.4	0.076	3.34
Red	8.4	0.102	2.92
Red	7.5	0.08	3.25
Red	10.2	0.064	3.23
Red	8.1	0.091	3.45
Red	7.9	0.085	3.59
Red	7.6	0.097	3.52
Red	7.9	0.084	3.28
Red	8.5	0.067	3.32
Red	8.2	0.056	3.15
Red	10.4	0.058	3.23
Red	11.3	0.086	3.29
Red	6.4	0.079	3.37
Red	7.8	0.069	3.41
Red	9.2	0.077	3.32
Red	8	0.066	3.4
Red	6.5	0.058	3.44
Red	7.3	0.087	3.23
Red	7.4	0.079	3.4
Red	10.6	0.144	3.34
Red	12	0.151	3.48
Red	8.3	0.095	3.3
Red	6.6	0.084	3.27
Red	7	0.061	3.5
Red	7.4	0.055	3.18
Red	6.9	0.266	3.41
Red	5.3	0.048	3.49
Red	7.7	0.092	3.32

A wine connoisseur has decided to analyze whether there are differences in fixed acidity, chlorides, and pH between white wines and red wines (0 = white and 1 = red). Let X₁ correspond to fixed acidity, X₂
correspond to chlorides, and X3 correspond to pH. Use the accompanying data to complete parts (a) through (d) below.
Click the icon to view the wine data.
(a) Develop a logistic regression model to predict whether the wine is red based on the fixed acidity, chlorides, and pH.
In(Estimated odds ratio) = + (x₁ + x₂i+X3i
(Round the constant term and the coefficient for X2; to one decimal place as needed. Round the coefficient for X₁; to three decimal places as needed. Round the coefficient for X3; to two decimal places
as needed.)
(b) Explain the meaning of the regression coefficients in the model developed in (a). Start with the fixed acidity coefficient.
it is estimated that
Holding constant the effects of chloride and pH, for each increase of one point in
(Round to three decimal places as needed.)
Explain the meaning of the chloride coefficient.
Holding constant the effects of fixed acidity and pH, for each increase of one point in
(Round to one decimal place as needed.)
Explain the meaning of the pH coefficient.
Ho: The model
H₁: The model
Holding constant the effects of fixed acidity and chloride, for each increase of one point in
(Round to two decimal places as needed.)
(c) Predict the probability that a wine is red if it has a fixed acidity of 7.6, chlorides of 0.04, and pH of 3.6.
The probability that the wine is red is.
(Round to three decimal places as needed.)
(d) At the 0.05 level of significance, is there evidence that the logistic regression model developed in (a) is a good fitting model?
Determine the hypotheses for this test.
a good-fitting model.
a good-fitting model.
The deviance statistic is
(Round to two decimal places as needed.)
The p-value for the deviance is.
(Round to three decimal places as needed.)
Choose the correct conclusion below.
(...)
Ho. There
evidence to suggest that the model
▼it is estimated that
a good-fitting model.
it is estimated that
will increase by
will increase by
will increase by

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