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 7 women are shown in the table below. Time 2 4 33 15 36 21 13 49 ms -IEl--ml- a. Find the correlation coefficient: r = [3 Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: H0 2 7 V = 0 H1.)?V 750 The p-value is: C] (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. 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. O 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 there is a correlation between the time women spend on the phone and their weight. Thus, the regression line is useful. O 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. d. r2 = C] (Round to two decimal places) e. Interpret r2 : O Given any group of women who all weight the same amount, 82% of all of these women will weigh the predicted amount. O There is a 82% chance that the regression line will be a good predictor for women's weight based on their time spent on the phone. 0 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 82%. O 82% of all women will have the average weight. f. The equation of the linear regression line is: 37 = C] + Sm (Please show your answers to two decimal places) g. Use the model to predict the weight of a woman who spends 55 minutes on the phone. Weight = [3 (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: 0 For every additional minute women spend on the phone, they tend to weigh on averge 1.75 additional pounds. 0 The slope has no practical meaning since you cannot predict a women's weight. 0 As x goes up, y goes up. i. Interpret the y-intercept in the context of the question: 0 If a woman does not spend any time talking on the phone, then that woman will weigh 87 pounds. O The y-intercept has no practical meaning for this study. 0 The best prediction for the weight of a woman who does not spend any time talking on the phone is 87 pounds. 0 The average woman's weight is predicted to be 87. Hint: Helpful Video on the Linear Regression Line @ [+] Helpful Video on Correlation [5' [+] Helpful Video on Hypothesis Tests for Correlation E? [+] Hints @ Submit