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 & women are shown in the table below. Time 20 59 30 67 31 81 20 51 Pounds 109 130 133 163 108 174 119 125 a. Find the correlation coefficient: r Round to 2 decimal places. b. The null and alternative hypotheses for correlation are HI: 7 V 0 H : 7V The p-value is: (Round to four decimal places) c. Use a level of significance of or = 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. 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. 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. (Round to two decimal places) e. Interpret Given any group of women who all weight the same amount, 75% of all of these women will weigh the predicted amount. 75% of all women will have the average weight. 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 75P. There is a 75% chance that the regression line will be a good predictor for women's weight based on their time spent on the phone. . 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 40 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: For every additional minute women spend on the phone, they tend to weigh on averge 0,91 additional pounds. As x goes up, y goes up- The slope has no practical meaning since you cannot predict a women's weight" i. Interpret the y-intercept in the context of the question: The average woman's weight is predicted to be 92. If a woman does not spend any time talking on the phone, then that woman will weigh 92 pounds The best prediction for the weight of a woman who does not spend any time talking on the phone is 92 pounds. aning for this study