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 28 26 52 36 51 Pounds 138 123 157 139 175 66 42 138 172 Round to 2 decimal places. a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: H₂ : 2 ✓=0 H₁:2✔ #0 The p-value is: (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. 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. 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 insignificant evidence to conclude that there is a correlation between the

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h. Interpret the slope of the regression line in the context of the question:
O For every additional minute women spend on the phone, they tend to weigh on averge 1.21
additional pounds.
As x goes up, y goes up.
O The slope has no practical meaning since you cannot predict a women's weight.
i. Interpret the y-intercept in the context of the question:
O The average woman's weight is predicted to be 97.
O The y-intercept has no practical meaning for this study.
O If a woman does not spend any time talking on the phone, then that woman will weigh 97
pounds.
O The best prediction for the weight of a woman who does not spend any time talking on the
phone is 97 pounds.
Transcribed Image Text:h. Interpret the slope of the regression line in the context of the question: O For every additional minute women spend on the phone, they tend to weigh on averge 1.21 additional pounds. As x goes up, y goes up. O The slope has no practical meaning since you cannot predict a women's weight. i. Interpret the y-intercept in the context of the question: O The average woman's weight is predicted to be 97. O The y-intercept has no practical meaning for this study. O If a woman does not spend any time talking on the phone, then that woman will weigh 97 pounds. O The best prediction for the weight of a woman who does not spend any time talking on the phone is 97 pounds.
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 28 26 52
Pounds 138 123 157 139
= 0
36 51
175
#0
66
172
a. Find the correlation coefficient: r =
b. The null and alternative hypotheses for correlation are:
Ho: 2
H₁:
The p-value is:
42
138
Round to 2 decimal places.
(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 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.
(Round to two decimal places)
d. ² =
e. Interpret ²:
O 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 79%.
O 79% of all women will have the average weight.
There is a 79% chance that the regression line will be a good predictor for women's weight
based on their time spent on the phone.
f. The equation of the linear regression line is:
ŷ=
O Given any group of women who all weight the same amount, 79% of all of these women will
weigh the predicted amount.
z (Please show your answers to two decimal places)
g. Use the model to predict the weight of a woman who spends 56 minutes on the phone.
Weight=
(Please round your answer to the nearest whole number.)
Transcribed Image Text: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 28 26 52 Pounds 138 123 157 139 = 0 36 51 175 #0 66 172 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: 2 H₁: The p-value is: 42 138 Round to 2 decimal places. (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 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. (Round to two decimal places) d. ² = e. Interpret ²: O 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 79%. O 79% of all women will have the average weight. There is a 79% chance that the regression line will be a good predictor for women's weight based on their time spent on the phone. f. The equation of the linear regression line is: ŷ= O Given any group of women who all weight the same amount, 79% of all of these women will weigh the predicted amount. z (Please show your answers to two decimal places) g. Use the model to predict the weight of a woman who spends 56 minutes on the phone. Weight= (Please round your answer to the nearest whole number.)
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