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
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
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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![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.
dataset named gifted gives information about test scores of gifted children on a standard analytical
The
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 Do
ỏ
A
1954
180
C₁-
13
duty
eduty
b. Does the relationship appear roughly linear?
O No, all the points do not fall on a straight line
Yes, there is no obvious curvature in the graph
Yes, all the points fall on a straight line.
✔Right!
O No, there are gaps in the graph along the x-axis.
✓
✔Right!
D
ⒸH₂ : 3₁-0
H₁:3₁ 0
H₂:23.067
195
HA: 3.067
1801
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.
1. The hypotheses are:
✔Right!
ⒸH₂:30
H₁:0
ⒸH₂:21 = 0
H₁:10
III. The result of this hypothesis test is:
✔Right!
editv
11. The p-value for the test is (round to three decimal places if that value is 0 then enter 0.):
eduty
24
e. What is the equation of the regression line?
Ohoursry 165.144 score 3.067
O hoursy -3.067 score 165.144
O score 165.144 hoursry-3.067
score -3.067 hoursyy 165.144
✓
ⒸH₂:₁-0
H:0
About 13.71% of the variation in hours of educational TV watched per week is explained
by the least squares line.
O hours of educational TV watched per week is not predictive of score on analytical skills
test.
ov
✔Right!
Ho: 13.067
HA:B 3.067
hours of educational TV watched per week is predictive of score on analytical skills test.
About 13.71% of the variation in score on analytical skills test is explained by the least
squares line.
d. Interpret ²
O The amount of variation in hours of educational TV watched per week that is explained by the
wwww
least squares line
f. Interpret the slope in the context of the model.
Select an answer
Select an answer
Select an answer
the amount of variation in score on analytical skills test that is explained by the least squares
line.
The total amount of variation in the model
O The total unexplained variation in the model.
For each Select an answer
].[Select an answer
Z
increase in
8. Interpret the y-intercept in the context of the model or explain why it should not be interpreted.
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.
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.
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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56888ea7-2c48-4c08-b7fb-3bfa96ffdacf%2Fd4fad281-314e-4608-b3ab-f7f012b6bb45%2Fzio7d3_processed.png&w=3840&q=75)
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.
dataset named gifted gives information about test scores of gifted children on a standard analytical
The
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 Do
ỏ
A
1954
180
C₁-
13
duty
eduty
b. Does the relationship appear roughly linear?
O No, all the points do not fall on a straight line
Yes, there is no obvious curvature in the graph
Yes, all the points fall on a straight line.
✔Right!
O No, there are gaps in the graph along the x-axis.
✓
✔Right!
D
ⒸH₂ : 3₁-0
H₁:3₁ 0
H₂:23.067
195
HA: 3.067
1801
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.
1. The hypotheses are:
✔Right!
ⒸH₂:30
H₁:0
ⒸH₂:21 = 0
H₁:10
III. The result of this hypothesis test is:
✔Right!
editv
11. The p-value for the test is (round to three decimal places if that value is 0 then enter 0.):
eduty
24
e. What is the equation of the regression line?
Ohoursry 165.144 score 3.067
O hoursy -3.067 score 165.144
O score 165.144 hoursry-3.067
score -3.067 hoursyy 165.144
✓
ⒸH₂:₁-0
H:0
About 13.71% of the variation in hours of educational TV watched per week is explained
by the least squares line.
O hours of educational TV watched per week is not predictive of score on analytical skills
test.
ov
✔Right!
Ho: 13.067
HA:B 3.067
hours of educational TV watched per week is predictive of score on analytical skills test.
About 13.71% of the variation in score on analytical skills test is explained by the least
squares line.
d. Interpret ²
O The amount of variation in hours of educational TV watched per week that is explained by the
wwww
least squares line
f. Interpret the slope in the context of the model.
Select an answer
Select an answer
Select an answer
the amount of variation in score on analytical skills test that is explained by the least squares
line.
The total amount of variation in the model
O The total unexplained variation in the model.
For each Select an answer
].[Select an answer
Z
increase in
8. Interpret the y-intercept in the context of the model or explain why it should not be interpreted.
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.
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.
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
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
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