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TABLE 14-11 A Weight-Loss Clinic Wants to Use Regression Analysis to Build

Question 156

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TABLE 14-11
A weight-loss clinic wants to use regression analysis to build a model for weight-loss of a client (measured in pounds) . Two variables thought to affect weight loss are client's length of time on the weight loss program and time of session. These variables are described below:
TABLE 14-11 A weight-loss clinic wants to use regression analysis to build a model for weight-loss of a client (measured in pounds) . Two variables thought to affect weight loss are client's length of time on the weight loss program and time of session. These variables are described below:    Data for 12 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:    Partial output from Microsoft Excel follows: Regression Statistics    ANOVA    -Referring to Table 14-11, what null hypothesis would you test to determine whether the slope of the linear relationship between weight-loss (Y)  and time in the program (X<sub>1</sub>)  varies according to time of session? A)  H<sub>0</sub> : β<sub>1</sub> = β<sub>2</sub> = β<sub>3</sub> = β<sub>4</sub> = β<sub>5</sub> = 0 B)  H<sub>0</sub> : β<sub>2</sub> = β<sub>3</sub> = β<sub>4</sub> = β<sub>5</sub> = 0 C)  H<sub>0</sub> : β<sub>4</sub> = β<sub>5</sub> = 0 D)  H<sub>0</sub> : β<sub>2</sub> = β<sub>3</sub> = 0 Data for 12 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:
TABLE 14-11 A weight-loss clinic wants to use regression analysis to build a model for weight-loss of a client (measured in pounds) . Two variables thought to affect weight loss are client's length of time on the weight loss program and time of session. These variables are described below:    Data for 12 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:    Partial output from Microsoft Excel follows: Regression Statistics    ANOVA    -Referring to Table 14-11, what null hypothesis would you test to determine whether the slope of the linear relationship between weight-loss (Y)  and time in the program (X<sub>1</sub>)  varies according to time of session? A)  H<sub>0</sub> : β<sub>1</sub> = β<sub>2</sub> = β<sub>3</sub> = β<sub>4</sub> = β<sub>5</sub> = 0 B)  H<sub>0</sub> : β<sub>2</sub> = β<sub>3</sub> = β<sub>4</sub> = β<sub>5</sub> = 0 C)  H<sub>0</sub> : β<sub>4</sub> = β<sub>5</sub> = 0 D)  H<sub>0</sub> : β<sub>2</sub> = β<sub>3</sub> = 0 Partial output from Microsoft Excel follows:
Regression Statistics
TABLE 14-11 A weight-loss clinic wants to use regression analysis to build a model for weight-loss of a client (measured in pounds) . Two variables thought to affect weight loss are client's length of time on the weight loss program and time of session. These variables are described below:    Data for 12 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:    Partial output from Microsoft Excel follows: Regression Statistics    ANOVA    -Referring to Table 14-11, what null hypothesis would you test to determine whether the slope of the linear relationship between weight-loss (Y)  and time in the program (X<sub>1</sub>)  varies according to time of session? A)  H<sub>0</sub> : β<sub>1</sub> = β<sub>2</sub> = β<sub>3</sub> = β<sub>4</sub> = β<sub>5</sub> = 0 B)  H<sub>0</sub> : β<sub>2</sub> = β<sub>3</sub> = β<sub>4</sub> = β<sub>5</sub> = 0 C)  H<sub>0</sub> : β<sub>4</sub> = β<sub>5</sub> = 0 D)  H<sub>0</sub> : β<sub>2</sub> = β<sub>3</sub> = 0 ANOVA
TABLE 14-11 A weight-loss clinic wants to use regression analysis to build a model for weight-loss of a client (measured in pounds) . Two variables thought to affect weight loss are client's length of time on the weight loss program and time of session. These variables are described below:    Data for 12 clients on a weight-loss program at the clinic were collected and used to fit the interaction model:    Partial output from Microsoft Excel follows: Regression Statistics    ANOVA    -Referring to Table 14-11, what null hypothesis would you test to determine whether the slope of the linear relationship between weight-loss (Y)  and time in the program (X<sub>1</sub>)  varies according to time of session? A)  H<sub>0</sub> : β<sub>1</sub> = β<sub>2</sub> = β<sub>3</sub> = β<sub>4</sub> = β<sub>5</sub> = 0 B)  H<sub>0</sub> : β<sub>2</sub> = β<sub>3</sub> = β<sub>4</sub> = β<sub>5</sub> = 0 C)  H<sub>0</sub> : β<sub>4</sub> = β<sub>5</sub> = 0 D)  H<sub>0</sub> : β<sub>2</sub> = β<sub>3</sub> = 0
-Referring to Table 14-11, what null hypothesis would you test to determine whether the slope of the linear relationship between weight-loss (Y) and time in the program (X1) varies according to time of session?


A) H0 : β1 = β2 = β3 = β4 = β5 = 0
B) H0 : β2 = β3 = β4 = β5 = 0
C) H0 : β4 = β5 = 0
D) H0 : β2 = β3 = 0

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