MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question
A producer of educational TV shows for gifted children wants to promote the claim that gifted children's
scores on an analytical test increase the more the children watch their shows.
In RStudio, run the following code to install and/or library the package "openintro".
1. install.packages("openintro") # don't do this again if you already did this!
2. library(openintro)
3. gifted
Delete the install line of code if you are in an RMD file so that it doesn't install every time you knit. The
last line of code will access the dataset of that name.
The dataset named 'gifted' gives information about test scores of gifted children on a standard analytical
test and the number of hours of educational TV these children watch. use the data set to make a model to
predict score on analytical skills test ("score") from hours of educational TV watched per week ("edutv").
a. Make a scatterplot of "score" (y-axis) vs "edutv" (x-axis). Which plot is the scatterplot?
Graph A Graph B Graph C Graph D
C
A
165-
160-
155-
150-
C 3.0
25-
22.0-
1.5-
10-
150
1.0
156
1.5
edutv
160
edutv
165
3.0
D
165-
160-
O Ho: ₁3.067
HA: 3.067
156-
150-
165-
160-
155-
150-
b. Does the relationship appear roughly linear?
O No, all the points do not fall on a straight line.
OYes, there is no obvious curvature in the graph
O Yes, all the points fall on a straight line.
O No, there are gaps in the graph along the x-axis.
○ Ho: B₁ = 0
HA:B10
c. Do the data provide strong evidence that high school GPA and first-year college GPA are associated?
State the null and alternative hypotheses, report the p-value, and state your conclusion.
i. The hypotheses are:
Ho: B₁0
HA:B10
Ho: a = 0
HA: 0
:
edutv
edutv
Ho: 1 = 0
HA: >0
ii. The p-value for the test is (round to three decimal places--if that value is 0 then enter 0.):
Ho: B₁- 3.067
HA:B 3.067
iii. The result of this hypothesis test is:
O About 13.71% of the variation in hours of educational TV watched per week is explained
by the least-squares line.
O The total amount of variation in the model.
The total unexplained variation in the model.
O hours of educational TV watched per week is predictive of score on analytical skills test.
O About 13.71% of the variation in score on analytical skills test is explained by the least-
squares line.
e. What is the equation of the regression line?
O hoursty - 165.144 score - 3.067
O hoursry -3.067 score 165.144
O score - 165.144 hoursty - 3.067
O score = -3.067 hoursTV + 165.144
O hours of educational TV watched per week is not predictive of score on analytical skills
test.
d. Interpret R²
O The amount of variation in hours of educational TV watched per week that is explained by the
least squares line.
O the amount of variation in score on analytical skills test that is explained by the least squares
line.
f. Interpret the slope in the context of the model. For each Select an answer V increase in
Select an answer
V. Select an answer
V
Select an answer
Select an answer V.
g. Interpret the y-intercept in the context of the model or explain why it should not be interpreted.
O When the score on analytical skills test of a gifted child is 0 the expected value of hours of
educational TV watched per week is -3.067.
O When the score on analytical skills test of a gifted child is 0 the expected value of hours of
educational TV watched per week is 165.144.
O It does not make sense to interpret the y-intercept for this model because no gifted child in
the data had a hours of educational TV watched per week anywhere close to 0.
O When the hours of educational TV watched per week of a gifted child is 0 the expected value
of score on analytical skills test is 165.144.
expand button
Transcribed Image Text:A producer of educational TV shows for gifted children wants to promote the claim that gifted children's scores on an analytical test increase the more the children watch their shows. In RStudio, run the following code to install and/or library the package "openintro". 1. install.packages("openintro") # don't do this again if you already did this! 2. library(openintro) 3. gifted Delete the install line of code if you are in an RMD file so that it doesn't install every time you knit. The last line of code will access the dataset of that name. The dataset named 'gifted' gives information about test scores of gifted children on a standard analytical test and the number of hours of educational TV these children watch. use the data set to make a model to predict score on analytical skills test ("score") from hours of educational TV watched per week ("edutv"). a. Make a scatterplot of "score" (y-axis) vs "edutv" (x-axis). Which plot is the scatterplot? Graph A Graph B Graph C Graph D C A 165- 160- 155- 150- C 3.0 25- 22.0- 1.5- 10- 150 1.0 156 1.5 edutv 160 edutv 165 3.0 D 165- 160- O Ho: ₁3.067 HA: 3.067 156- 150- 165- 160- 155- 150- b. Does the relationship appear roughly linear? O No, all the points do not fall on a straight line. OYes, there is no obvious curvature in the graph O Yes, all the points fall on a straight line. O No, there are gaps in the graph along the x-axis. ○ Ho: B₁ = 0 HA:B10 c. Do the data provide strong evidence that high school GPA and first-year college GPA are associated? State the null and alternative hypotheses, report the p-value, and state your conclusion. i. The hypotheses are: Ho: B₁0 HA:B10 Ho: a = 0 HA: 0 : edutv edutv Ho: 1 = 0 HA: >0 ii. The p-value for the test is (round to three decimal places--if that value is 0 then enter 0.): Ho: B₁- 3.067 HA:B 3.067 iii. The result of this hypothesis test is: O About 13.71% of the variation in hours of educational TV watched per week is explained by the least-squares line. O The total amount of variation in the model. The total unexplained variation in the model. O hours of educational TV watched per week is predictive of score on analytical skills test. O About 13.71% of the variation in score on analytical skills test is explained by the least- squares line. e. What is the equation of the regression line? O hoursty - 165.144 score - 3.067 O hoursry -3.067 score 165.144 O score - 165.144 hoursty - 3.067 O score = -3.067 hoursTV + 165.144 O hours of educational TV watched per week is not predictive of score on analytical skills test. d. Interpret R² O The amount of variation in hours of educational TV watched per week that is explained by the least squares line. O the amount of variation in score on analytical skills test that is explained by the least squares line. f. Interpret the slope in the context of the model. For each Select an answer V increase in Select an answer V. Select an answer V Select an answer Select an answer V. g. Interpret the y-intercept in the context of the model or explain why it should not be interpreted. O When the score on analytical skills test of a gifted child is 0 the expected value of hours of educational TV watched per week is -3.067. O When the score on analytical skills test of a gifted child is 0 the expected value of hours of educational TV watched per week is 165.144. O It does not make sense to interpret the y-intercept for this model because no gifted child in the data had a hours of educational TV watched per week anywhere close to 0. O When the hours of educational TV watched per week of a gifted child is 0 the expected value of score on analytical skills test is 165.144.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman