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 8 women are shown in the table below.

Time	68	12	90	24	21	60	52	24
Pounds	150	102	157	121	105	117	118	100

1. Find the correlation coefficient: r=__________ Round to 2 decimal places.
2. The null and alternative hypotheses for correlation are: H0:H0: ? r = 0 H1:H1: ? r 0 The p-value is: _____________ (Round to four decimal places)
3. Use a level of significance of=0.05=0.05to state the conclusion of the hypothesis test in the context of the study. Choose an option.
   • a. 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.
   • b. 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.
   • c. 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.
   • d. 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.

• 4. r2r2=____________ (Round to two decimal places
• 5. Interpretr2r2: Choose an option.
  • a. There is a 78% chance that the regression line will be a good predictor for women's weight based on their time spent on the phone.
  • b. 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 78%.
  • c. Given any group of women who all weight the same amount, 78% of all of these women will weigh the predicted amount.
  • d. 78% of all women will have the average weight.
• 6. The equation of the linear regression line is: y^ = ___________ + x____________________ (Please show your answers to two decimal places) 7. Use the model to predict the weight of a woman who spends 53 minutes on the phone. Weight =_______________ (Please round your answer to the nearest whole number.) 8. Interpret the slope of the regression line in the context of the question: Choose an option
  • a. As x goes up, y goes up.
  • b. For every additional minute women spend on the phone, they tend to weigh on average 0.68 additional pounds.
  • c. The slope has no practical meaning since you cannot predict a women's weight.
• 9. Interpret the y-intercept in the context of the question: Choose an option.
  • a. The y-intercept has no practical meaning for this study.
  • b. If a woman does not spend any time talking on the phone, then that woman will weigh 91 pounds.
  • c. The average woman's weight is predicted to be 91.
  • d. The best prediction for the weight of a woman who does not spend any time talking on the phone is 91 pounds.