A study was conducted to look at the relationship between of citations a nursing home has received for failure to control infectious diseases and the number of COVID-19 cases the home has had. The results are shown below. (Disclaimer: data is randomized and simulated, but these findings are based on real information.) Hint: You can copy and paste these data into the Linear Regression App in Art of Stat, simply by hitting enter your own. Citations Cases 4 50 44 67 33 1 34 7 24 6. 83 4. 9. 125 10 145 23

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
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ý = 6.362
+10.216 x (Please show your answers to 2-3 decimal places)
b. r = 63.2% This is not a decimal or integer value.% (Remember: as a percent and round to
one decimal place)
there 63.2% variation in 4 which is explain b
c. Interpret r2 :
d. Find the correlation coefficient: r =
0.795
Round to 3 decimal places.
e. Interpret the slope of the regression line in the context of the question:
f. The null and alternative hypotheses for correlation/slope are:
Ho: Bv = 0
H: B O
g. The test-statistic is: 4.195
Round to 3 decimal places.
h. The p-value is: 0.0020
Round to 4 decimal places.
i. Use a level of significance of a =
context of the study.
the slope is statistically significant
0.05 to state the conclusion of the hypothesis test in the
j. Use the model to predict the average number of cases a nursing home with 2 citations
|(Please round your answer to the nearest whole number.)
(Round to 3 decimal places.)
k. What is the standard deviation for residuals? 29.055
Transcribed Image Text:ý = 6.362 +10.216 x (Please show your answers to 2-3 decimal places) b. r = 63.2% This is not a decimal or integer value.% (Remember: as a percent and round to one decimal place) there 63.2% variation in 4 which is explain b c. Interpret r2 : d. Find the correlation coefficient: r = 0.795 Round to 3 decimal places. e. Interpret the slope of the regression line in the context of the question: f. The null and alternative hypotheses for correlation/slope are: Ho: Bv = 0 H: B O g. The test-statistic is: 4.195 Round to 3 decimal places. h. The p-value is: 0.0020 Round to 4 decimal places. i. Use a level of significance of a = context of the study. the slope is statistically significant 0.05 to state the conclusion of the hypothesis test in the j. Use the model to predict the average number of cases a nursing home with 2 citations |(Please round your answer to the nearest whole number.) (Round to 3 decimal places.) k. What is the standard deviation for residuals? 29.055
A study was conducted to look at the relationship between of citations a nursing home has received
for failure to control infectious diseases and the number of COVID-19 cases the home has had. The
results are shown below. (Disclaimer: data is randomized and simulated, but these findings are
based on real information.) Hint: You can copy and paste these data into the Linear Regression App
in Art of Stat, simply by hitting enter your own.
Citations
Cases
4
50
44
67
Ww.3
33
1
34
7
24
9.
83
4
9.
125
10
145
23
a. The equation of the linear regression line is:
y =
6.362
10.216 x (Please show your answers to 2-3 decimal places)
b. r2
63.2% This is not a decimal or integer value.% (Remember: as a percent and round to
%3D
one decimal place)
there 63.2% variation in 4 which is explain b
c. Interpret r²
d. Find the correlation coefficient: r =
0.795
Round to 3 decimal places.
e. Interpret the slope of the regression line in the context of the question:
Transcribed Image Text:A study was conducted to look at the relationship between of citations a nursing home has received for failure to control infectious diseases and the number of COVID-19 cases the home has had. The results are shown below. (Disclaimer: data is randomized and simulated, but these findings are based on real information.) Hint: You can copy and paste these data into the Linear Regression App in Art of Stat, simply by hitting enter your own. Citations Cases 4 50 44 67 Ww.3 33 1 34 7 24 9. 83 4 9. 125 10 145 23 a. The equation of the linear regression line is: y = 6.362 10.216 x (Please show your answers to 2-3 decimal places) b. r2 63.2% This is not a decimal or integer value.% (Remember: as a percent and round to %3D one decimal place) there 63.2% variation in 4 which is explain b c. Interpret r² d. Find the correlation coefficient: r = 0.795 Round to 3 decimal places. e. Interpret the slope of the regression line in the context of the question:
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