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Sample mean Sample standard deviation | | Number of children | Free time (in hours) 12.45 7.12 2.27 1.42 The correlation between the variables is equal to -0.83. (a) --Select- (b) Will the correlation change if we measure the free time in minutes instead of hours? -Select-- (c) Compute the regression line for predicting the amount of free time (in hours) parents have in a given week. v is the explanatory variable and -Select--- is the response variable from the point of view of researchers. Free time - * Number of children +

Sample mean Sample standard deviation | | Number of children | Free time (in hours) 12.45 7.12 2.27 1.42 The correlation between the variables is equal to -0.83. (a) --Select- (b) Will the correlation change if we measure the free time in minutes instead of hours? -Select-- (c) Compute the regression line for predicting the amount of free time (in hours) parents have in a given week. v is the explanatory variable and -Select--- is the response variable from the point of view of researchers. Free time - * Number of children +

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A survey asks a group of 11 parents to report how much free time they have in a given week. The researchers suspect that parents with more children have less free time. Summaries from the data and a scatterplot are given below. Answer all numerical questions to two decimal places. 35 30 25 20 15 10 5 1 2 3 4 Number of children Free time (in hours) 12.45 Number of children 2.27 Sample mean Sample standard deviation 1.42 7.12 The correlation between the variables is equal to -0.83. (a) ---Select--- is the explanatory variable and --Select--- V is the response variable from the point of view of researchers. (b) Will the correlation change if we measure the free time in minutes instead of hours? ---Select-- V (c) Compute the regression line for predicting the amount of free time (in hours) parents have in a given week. Free time = x Number of children + (d) Compute the percentage of variability in the amount of free time that is explained by our regression model. percent. (e) The standard error for the slope of the regression line in part (c) is equal to 0.921. Does the model provide strong evidence that the amount of free time is negatively associated with the number of children a parent has? (I) State the hypotheses. O Ho: B1 = 0 HA: B1<0 O Ho: B1 = 0 HA: B1 > 0 O Ho: B1 HA: Bq #0 = 0 (II) The test statistic is equal to with degrees of freedom. (f) Gabriel was not a participant in the survey. He has 3 children and still has 27 hours of free time. (I) According to the regression model, what is the predicted amount of free time Gabriel would have in a week? What is the residual? (II) If Gabriel was part of the original survey, then the survey data would have had (Select ALL that apply) O an outlier O a high leverage point O an influential point Free time(in hours)
Transcribed Image Text:A survey asks a group of 11 parents to report how much free time they have in a given week. The researchers suspect that parents with more children have less free time. Summaries from the data and a scatterplot are given below. Answer all numerical questions to two decimal places. 35 30 25 20 15 10 5 1 2 3 4 Number of children Free time (in hours) 12.45 Number of children 2.27 Sample mean Sample standard deviation 1.42 7.12 The correlation between the variables is equal to -0.83. (a) ---Select--- is the explanatory variable and --Select--- V is the response variable from the point of view of researchers. (b) Will the correlation change if we measure the free time in minutes instead of hours? ---Select-- V (c) Compute the regression line for predicting the amount of free time (in hours) parents have in a given week. Free time = x Number of children + (d) Compute the percentage of variability in the amount of free time that is explained by our regression model. percent. (e) The standard error for the slope of the regression line in part (c) is equal to 0.921. Does the model provide strong evidence that the amount of free time is negatively associated with the number of children a parent has? (I) State the hypotheses. O Ho: B1 = 0 HA: B1<0 O Ho: B1 = 0 HA: B1 > 0 O Ho: B1 HA: Bq #0 = 0 (II) The test statistic is equal to with degrees of freedom. (f) Gabriel was not a participant in the survey. He has 3 children and still has 27 hours of free time. (I) According to the regression model, what is the predicted amount of free time Gabriel would have in a week? What is the residual? (II) If Gabriel was part of the original survey, then the survey data would have had (Select ALL that apply) O an outlier O a high leverage point O an influential point Free time(in hours)
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