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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 7 women are shown in the table below.

Time 87 48 37 67 42 39 79
Pounds 194 152 154 171 149 128 198

A. Find the correlation coefficient: r=r= Round to 2 decimal places.

B. The null and alternative hypotheses for correlation are: H0:H0: ? r Correct == 0 H1:H1: ? r Correct 0 The p-value is: (Round to four decimal places)

C. Use a level of significance of=0.05=0.05to state the conclusion of the hypothesis test in the context of the study.

  • 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 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 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. r2r2= (Round to two decimal places)

E. Interpretr2r2: _______________= (Round to two decimal places)

  • Given any group of women who all weight the same amount, 86% of all of these women will weigh the predicted amount.
  • 86% of all women will have the average weight.
  • There is a 86% chance that the regression line will be a good predictor for women's weight based on their time spent on the phone.
  • 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 86%.

  • F. The equation of the linear regression line is: yy^ = __________ + ___________xx (Please show your answers to two decimal places) G. Use the model to predict the weight of a woman who spends 32 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 average 1.15 additional pounds.
  • The slope has no practical meaning since you cannot predict a women's weight.
  • As x goes up, y goes up.

I. Interpret the y-intercept in the context of the question:

  • The best prediction for the weight of a woman who does not spend any time talking on the phone is 98 pounds.
  • The y-intercept has no practical meaning for this study.
  • The average woman's weight is predicted to be 98.
  • If a woman does not spend any time talking on the phone, then that woman will weigh 98 pounds.

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