IV. Simple Linear Regression Model

AMC wants to understand how respondents overall satisfaction level would affect their likelihood to join the AMC organization. To understand whether or not and to which extent each respondent feels about AMC, a survey question was created and specified as on a scale 1-7, please specify your overall level of satisfaction regarding any activities you participated and hosted by our organization (1 = very dissatisfied and 7 = very satisfied). And the information regarding likelihood to join AMC is collected via a survey question specified as on a scale 1-7, please specify your likelihood in joining AMC, where 1 = very unlikely and 7 = very likely. To examine the relationships, a simple linear regression model is developed and the empirical results are provided below.

26. Which of the following variables is the independent variable?

A. Satisfaction B. Likely to join AMC

C. Gender D. Outdoor enthusiast

27. Based upon the SPSS results, which linear regression model is correctly specified?

A. Y=2.341+0.546X B. Y=2.341+0.759X

C. Y=0.546+0.119X D. Y=0.759+0.119X

28. Given the results, are constant and satisfaction both significantly different from 0?

A. Both are significantly different from 0, because both P-values are smaller than 5%.

B. Both are not significantly different from 0, because both P-values are equal to 0.000.

C. The parameter estimate of constant is significantly different from 0, whereas satisfaction is not significantly different from 0.

D. The parameter estimate of satisfaction is significantly different from 0, whereas the constant is notsignificantly different from 0.

29. Researchers believe that, when the rating of likely to join AMC reaches 6, it will most likely that the respondent will enroll as an official member and join the organization. However, the current performance of likely to join AMC is 4.90. With the information given in the linear regression model, do you think that, by targeting the group of respondents, who felt very satisfied with AMC, researchers are able to achieve a goal where likely to join AMC rating reaches 6?

A. Yes, researchers can accomplish the goal, where likely to join AMC reaches 6.

B. No, researchers cannot accomplish the goal and make likely to join AMC reaches 6.

C. There is not enough information to evaluate whether or not the goal can be accomplished.

30 (Extra Point: 1). Which of the following indicators cannot be used to indicate how well the regression model explains the relationship between the dependent variable and independent variables?

i). R square = 12.8% ii). P-value = 0.002 iii). t = 3.084

A. i) & ii) B. ii) & iii) C. i) & iii)