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Model 1 Coefficients Unstandardized Coefficients B Std. Error -386.390 .476 -158.827 .185 (Constant) Income Travelling Income Travelling a. Dependent Variable: Total spending 1282.583 .377 300.692 .085 Standardized Coefficients Beta .253 -.175 .882 t -.301 1.260 -.528 2.186 Sig. Explain how to interpret the finding that the interaction between income and the amount of travelling is positive (rather than negative). .766 .219 .602 .038

Model 1 Coefficients Unstandardized Coefficients B Std. Error -386.390 .476 -158.827 .185 (Constant) Income Travelling Income Travelling a. Dependent Variable: Total spending 1282.583 .377 300.692 .085 Standardized Coefficients Beta .253 -.175 .882 t -.301 1.260 -.528 2.186 Sig. Explain how to interpret the finding that the interaction between income and the amount of travelling is positive (rather than negative). .766 .219 .602 .038

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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f What determines how much money a family spends on holiday? In a survey, a sample of 30 families were asked to keep a record of their spending during a one-week holiday and report their total spending at the end of the week. The researchers hypothesised that wealthier families tend to spend more, and that families who tend to spend most of the time in one town tend to spend less than those who travel around to see sight at several different places. Therefore, the respondents were asked to report the net monthly income of the family as well as the number of different settlements (villages, towns, and cities) that they visited during the week. A multiple linear regression model revealed that both income and the amount of travelling are significantly related to total spending. The researchers, however, also hypothesised that the two independent variables may interact. The SPSS printout below indicates that there is evidence for an interaction (at a = .05), and therefore the interaction model is a good fit to the data. Model 1 Model 1 R .922a Model Summary a. Predictors: (Constant), Income Travelling Regression Residual R Square .850 Adjusted R Square .833 Sum of Squares 63217471.22 11129918.65 74347389.87 Travelling, Income, ANOVA df 3 d=1196266 26 29 Std. Error of the Estimate 654.273 Mean Square 21072490.41 428073.794 Total a. Dependent Variable: Total spending b. Predictors: (Constant), Income Travelling, Income, Travelling F 49.226 Sig. .000b Рабочий сто
Transcribed Image Text:f What determines how much money a family spends on holiday? In a survey, a sample of 30 families were asked to keep a record of their spending during a one-week holiday and report their total spending at the end of the week. The researchers hypothesised that wealthier families tend to spend more, and that families who tend to spend most of the time in one town tend to spend less than those who travel around to see sight at several different places. Therefore, the respondents were asked to report the net monthly income of the family as well as the number of different settlements (villages, towns, and cities) that they visited during the week. A multiple linear regression model revealed that both income and the amount of travelling are significantly related to total spending. The researchers, however, also hypothesised that the two independent variables may interact. The SPSS printout below indicates that there is evidence for an interaction (at a = .05), and therefore the interaction model is a good fit to the data. Model 1 Model 1 R .922a Model Summary a. Predictors: (Constant), Income Travelling Regression Residual R Square .850 Adjusted R Square .833 Sum of Squares 63217471.22 11129918.65 74347389.87 Travelling, Income, ANOVA df 3 d=1196266 26 29 Std. Error of the Estimate 654.273 Mean Square 21072490.41 428073.794 Total a. Dependent Variable: Total spending b. Predictors: (Constant), Income Travelling, Income, Travelling F 49.226 Sig. .000b Рабочий сто
Model 1 Unstandardized Coefficients B Std. Error -386.390 .476 -158.827 .185 (Constant) Income Travelling Income Travelling a. Dependent Variable: Total spending Coefficients A▾ B I = 1282.583 .377 300.692 .085 Standardized Coefficients Beta .253 -.175 .882 t -.301 1.260 -.528 2.186 Sig. Explain how to interpret the finding that the interaction between income and the amount of travelling is positive (rather than negative). .766 .219 .602 .038
Transcribed Image Text:Model 1 Unstandardized Coefficients B Std. Error -386.390 .476 -158.827 .185 (Constant) Income Travelling Income Travelling a. Dependent Variable: Total spending Coefficients A▾ B I = 1282.583 .377 300.692 .085 Standardized Coefficients Beta .253 -.175 .882 t -.301 1.260 -.528 2.186 Sig. Explain how to interpret the finding that the interaction between income and the amount of travelling is positive (rather than negative). .766 .219 .602 .038
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