Question
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.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started