I need help with f, g and h

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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I need help with f, g and h
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
81
52
52
64
62
23
36
30
Pounds
119
119
116
117
128
105
116
105
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: (?
H: ?
= 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 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.
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.
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.
d. r2 =
(Round to two decimal places)
e. Interpret r2 :
O There is a 56% chance that the regression line will be a good predictor for women's
weight based on their time spent on the phone.
56% of all women will have the average weight.
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 8 women are shown in the table below. Time 81 52 52 64 62 23 36 30 Pounds 119 119 116 117 128 105 116 105 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: (? H: ? = 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 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. 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. 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. d. r2 = (Round to two decimal places) e. Interpret r2 : O There is a 56% chance that the regression line will be a good predictor for women's weight based on their time spent on the phone. 56% of all women will have the average weight.
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 56%.
O Given any group of women who all weight the same amount, 56% of all of these women
will weigh the predicted amount.
f. The equation of the linear regression line is:
=
c (Please show your answers to two decimal places)
g. Use the model to predict the weight of a woman who spends 40 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:
As x goes up, y goes up.
For every additional minute women spend on the phone, they tend to weigh on averge
0.29 additional pounds.
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:
The average woman's weight is predicted to be 101.
OIf a woman does not spend any time talking on the phone, then that woman will weigh
101 pounds.
OThe y-intercept has no practical meaning for this study.
The best prediction for the weight of a woman who does not spend any time talking on
the phone is 101 pounds.
Hint: Helpful Video on the Linear Regression Line 2 [+]
Helpful Video on Correlation (+]
Helpful Video on Hypothesis Tests for Correlation 2 [+]
Transcribed Image Text: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 56%. O Given any group of women who all weight the same amount, 56% of all of these women will weigh the predicted amount. f. The equation of the linear regression line is: = c (Please show your answers to two decimal places) g. Use the model to predict the weight of a woman who spends 40 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: As x goes up, y goes up. For every additional minute women spend on the phone, they tend to weigh on averge 0.29 additional pounds. 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: The average woman's weight is predicted to be 101. OIf a woman does not spend any time talking on the phone, then that woman will weigh 101 pounds. OThe y-intercept has no practical meaning for this study. The best prediction for the weight of a woman who does not spend any time talking on the phone is 101 pounds. Hint: Helpful Video on the Linear Regression Line 2 [+] Helpful Video on Correlation (+] Helpful Video on Hypothesis Tests for Correlation 2 [+]
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