Question
In: Math
Use the data to assess the correlation between hours studying per week in High School and...
Use the data to assess the correlation between hours studying per week in High School and SAT score. Interpret the result and give the conclusion.
| High School hours per week | SAT Score |
| 15 | 1500 |
| 10 | 1250 |
| 2 | 850 |
| 11 | 1350 |
| 0 | 780 |
| 5 | 810 |
| 6 | 900 |
| 10 | 1100 |
| 16 | 1450 |
| 2 | 810 |
Solutions
Expert Solution
High school HOCHS per week SAT score 15 1500 1500 185 2250000 100 1700 14850 121 1250 830 1350 1 780 810 goo O 4050 25 15 62500 722500 1822500 608 400 G-6100 810000 12 1000 21000 G 56100 540026 10 16 1100 11000 100 1450 2200 206 81016204 10800 96820 871 2 124 00 600 Sum s sxy = Eziyi - (Exi) Eyi) = 96820 - to (77X10800) = 13660 Ssxx = Exi? - Yn ceri)? = 871- %10C77)? = sorr = 2y; 2 - 0 (I yi) ? - 12900600 - Le Clo800)' 278:1 = 736600 corelation coefficient r = ssxy Sser Ssry - 13660 /278.IX 736000 = 0.954
two variables SAT Score are Here rao.954 Hence, the High school hours per Careek op strongly related :
milcah answered 1 year agoRelated Solutions
The number of hours per week that high school seniors spend on computers is normally distributed...
The number of hours per week that high school seniors spend on
computers is normally distributed with a mean of 5 hours and a
standard deviation of 2 hours. 70 students are chose at random, let
x̅ represent the mean number of hours spent on a computer for this
group. Find the probability that x̅ is between 5.1 and 5.7.
A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per...
A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
7
5
9
5
5
8
6
7
13
6
5
7
3
3
5
5
1
10
12
2
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round your...
A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per...
A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
7
5
8
7
4
8
8
7
12
5
5
7
4
2
7
6
1
10
11
4
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round your...
A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per...
A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
5
5
9
6
4
8
7
7
11
6
3
7
2
3
6
5
1
10
11
4
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round your...
A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per...
A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
6
5
7
5
4
7
8
7
13
5
4
8
4
3
6
4
1
10
11
2
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round...
A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per...
A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study.
Internet
Use
Social
Interaction
X
Y
5
4
8
5
5
6
8
6
11
5
4
6
3
3
7
5
2
11
12
3
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
____
(b) Compute the coefficient of determination. (Round...
A researcher measures the relationship between Internet use (hours per week) and social interaction (hours per...
A researcher measures the relationship between Internet use
(hours per week) and social interaction (hours per week) in a
sample of 10 students. The following table lists the hypothetical
results of this study. Internet Use X = 6 8 5 6 13 5 4 5 3 10
Social Interaction Y= 4 5 7 7 4 7 2 6 9 4
(a) Compute the Pearson correlation coefficient. (Round your
answer to three decimal places.)
(b) Compute the coefficient of determination. (Round...
Correlation and Simple Linear Regression Analysis Determine the following using data about "hours studying per weekend"...
Correlation and Simple Linear Regression
Analysis
Determine the following using data about "hours studying per
weekend" and "grade point average" below.
a) scatter diagram with hours the independent variable
b) coefficient of correlation
c) coefficient of determination
d) coefficient of nondetermination
e) average error for predicting grades
f) .01 level of significance test for slope being 0
g) regression equation
h) expected grades for people who study 5 hours
Hours
Grades
3
3.0
2
2.0
6
3.8
3
2.6
4...
Assess the differences between Male and Female television watching (hours per week). Please pick A statistic...
Assess the differences between Male and Female television
watching (hours per week). Please pick A statistic that compares
means of two groups.
Male: 8,16,12,4,6 Female: 2,0,8,2,4
Data are collected on the relationship between the number of hours per week practicing a musical...
Data are collected on the relationship between the number of
hours per week practicing a musical instrument and scores on a math
test. The line of best fit is as follows: ŷ = 72.5 +
2.8x.
What would you predict the score on a math test would be for a
student who practices a musical instrument for 1.2 hours a week?
Round to one decimal place.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Gives the following four numbers: a.01101010 b.11110001 c.10001000 d.00100010 then answer the questions: (i) What's the...
- Weez Ltd is a GST registered retailer of widgets with monthly accounting periods. The following is...
- explain the relationship between the SEC and the various private sector standard setting bodies that have,...
- You have been asked to prepare a December cash budget for Ashton Company, a distributor of...
- Holly bought a 7-year bond, with a 3% coupon paid semi annually. It was priced to...
- METAR Abbreviations METAR (Meteorological Aviation Report) is a format for reporting weather information, either for pilots...
- The data below are the heights of fathers and sons (inches). There are 8 rows in...
ADVERTISEMENT