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What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on
What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 9 women are shown in the table below. Time 79 67 45 61 75 14 73 61 54 Pounds 161 126 128 140 147 111 145 127 123 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho : P tv = 0 H1 : Pty #0 The p-value is: (Round to four decimal places) c. Use a level of significance of o = 0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. O There is statistically significant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the use of the regression line is not appropriate. O There is statistically significant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. d. p' = (Round to two decimal places) e. Interpret r : O There is a large variation in women's weight, but if you only look at women with a fixed weight, this variation on average is reduced by 69%. O There is a 69% chance that the regression line will be a good predictor for women's weight based on their time spent on the phone. O 69% of all women will have the average weight. O Given any group of women who all weight the same amount, 69% of all of these women will weigh the predicted amount. f. The equation of the linear regression line is: y = (Please show your answers to two decimal places) g. Use the model to predict the weight of a woman who spends 35 minutes on the phone. Weight = (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: O For every additional minute women spend on the phone, they tend to weigh on averge 0.63 additional pounds
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