Question
In: Statistics and Probability
The table below reports the ages (in years) and the number of hours of sleep in...
The table below reports the ages (in years) and the number of hours of sleep in one night by seven adults.
Age,x 35 20 59 42 68 38 75
Hours of sleep, y 7 9 5 6 5 8 4
? = 7, ∑ ? = 337, ∑ ? 2 = 18563, ∑ ? = 44, ∑ ? 2 = 296 , ∑ ? ? = 1916
a. Find the coefficent of correlation between ? ??? ? and interpret its meaning in the context of the problem.
b. Conduct a test at 5% level of significance to determine whether hours of sleep (?) is linearly related with age (?).
c. Find the equation of the regression line between ? ??? ?.
d. Can you use the equation in part (c) to predict ? when ? = 10? Why or why not?
Solutions
orchestra answered 1 year agoRelated Solutions
1. Below is a contingency table for the certain majors and the number of hours studied...
1. Below is a contingency table for the certain majors and the
number of hours studied for
each major. The expected values are given in parentheses.
Rows: Hours/week
humanities
social science
business
engineering
total
0-10
68
(88.67)
106
(90.05)
131
(106.6)
40
(59.69)
345
11-20
119
(110.5)
103
(112.2)
127
(132.9)
81
(74.39)
430
>20
70
(57.83)
52
(58.73)
51
(69.53)
52
(38.93)
225
total
257
261
309
173
1000
Chi-Square test for independence:
measure
DF
value
p-value
Chi-Square
6...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the
overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the
overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the
overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the
overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting
the overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting
the overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the
overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the
overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
The table below gives the number of hours spent unsupervised each day as well as the...
The table below gives the number of hours spent unsupervised
each day as well as the overall grade averages for seven randomly
selected middle school students. Using this data, consider the
equation of the regression line, yˆ=b0+b1x, for predicting the
overall grade average for a middle school student based on the
number of hours spent unsupervised each day. Keep in mind, the
correlation coefficient may or may not be statistically significant
for the data given. Remember, in practice, it would...
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