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  r2r2 =  (Round to two decimal places)    Interpret r2r2 :   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%. The equation of the linear regression line is:    ˆyy^ =  + xx   (Please show your answers to two decimal places)

MATLAB: An Introduction with Applications
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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 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
  1.  r2r2 =  (Round to two decimal places)  
  2.  Interpret r2r2 :  
    • 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%.
  3. The equation of the linear regression line is:   
    ˆyy^ =  + xx   (Please show your answers to two decimal places)  

  4. 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.)  

  5. 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 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.


  6. 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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