What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 10 12 2 16 16 Score 76 88 57 54 68 98 98 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Но: [?v H1: ?v = 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. O There is statistically significant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. O There is statistically insignificant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. d. p2 : (Round to two decimal places)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
icon
Related questions
Topic Video
Question

Please answer A, B, D, F, & G. Thank you! 

f. The equation of the linear regression line is:
ŷ =
x (Please show your answers to two decimal places)
+
g. Use the model to predict the final exam score for a student who spends 5 hours per
week studying.
Final exam score =
(Please round your answer to the nearest whole
number.)
Transcribed Image Text:f. The equation of the linear regression line is: ŷ = x (Please show your answers to two decimal places) + g. Use the model to predict the final exam score for a student who spends 5 hours per week studying. Final exam score = (Please round your answer to the nearest whole number.)
What is the relationship between the amount of time statistics students study per week
and their final exam scores? The results of the survey are shown below.
Time
10
12
2
16
16
Score
76
88
57
54
68
98
98
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Но: |?
Hị: ?v
= 0
The p-value is:
(Round to four decimal places)
c. Use a level of significance of a =
test in the context of the study.
0.05 to state the conclusion of the hypothesis
There is statistically significant evidence to conclude that a student who
spends more time studying will score higher on the final exam than a student
who spends less time studying.
O There is statistically insignificant evidence to conclude that there is a
correlation between the time spent studying and the score on the final exam.
Thus, the use of the regression line is not appropriate.
There is statistically significant evidence to conclude that there is a
correlation between the time spent studying and the score on the final exam.
Thus, the regression line is useful.
There is statistically insignificant evidence to conclude that a
spends more time studying will score higher on the final exam than a student
who spends less time studying.
dent
d. p² =
(Round to two decimal places)
Transcribed Image Text:What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 10 12 2 16 16 Score 76 88 57 54 68 98 98 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Но: |? Hị: ?v = 0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = test in the context of the study. 0.05 to state the conclusion of the hypothesis There is statistically significant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. O There is statistically insignificant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that a spends more time studying will score higher on the final exam than a student who spends less time studying. dent d. p² = (Round to two decimal places)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill