Interpret the answer in the context of the subject matter. What is the p-value of the significance test on the population correlation coefficient? What can you conclude based on this result? c) Write down the equation of the regression line and find the coefficient of determination. b) d) Interpret the slope of the regression line. Make sure your answer is written in the context of the subject matter and with proper units to values. What is the expected systolic blood pressure of a subject if his salt consumption is 9.5 grams per day? Comment on the range of x-values in the sample for such prediction to be e)

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A recent study is performed to analyse the relationship between salt consumption (x, in
grams/day) and the systolic blood pressure (y, in mmHg) of adults. There are 122 adults in the
sample. The summary statistics of the collected data are found below. Regression analysis was
performed using Excel software and the results are reported.
Summary statistics
Sum of x values: 1,542.7
Sum of squares of x values: 20,519.01
Sum of product of x and y: 232,491.7
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
Salt Consumption
0.56567067
0.319983307
0.314316501
17.40489557
df
122
1
120
121
Sum of y values: 18,057
Sum of squares of y values: 2,726,041
F
SS
MS
17105.34502 17105.35 56.46626
36351.64679 302.9304
53456.9918
Coefficients Standard Error
96.0065537
4.112400628
t Stat P-value
7.097398751 13.52701 6.83E-26
0.54726909 7.514403 1.13E-11
Significance F
1.12925E-11
Lower 95% Upper 95% Lower 95.0% Upper 95.0%
81.95419812 110.0589093 81.95419812 110.0589093
3.028845917 5.195955338 3.028845917 5.195955338
Transcribed Image Text:A recent study is performed to analyse the relationship between salt consumption (x, in grams/day) and the systolic blood pressure (y, in mmHg) of adults. There are 122 adults in the sample. The summary statistics of the collected data are found below. Regression analysis was performed using Excel software and the results are reported. Summary statistics Sum of x values: 1,542.7 Sum of squares of x values: 20,519.01 Sum of product of x and y: 232,491.7 SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Salt Consumption 0.56567067 0.319983307 0.314316501 17.40489557 df 122 1 120 121 Sum of y values: 18,057 Sum of squares of y values: 2,726,041 F SS MS 17105.34502 17105.35 56.46626 36351.64679 302.9304 53456.9918 Coefficients Standard Error 96.0065537 4.112400628 t Stat P-value 7.097398751 13.52701 6.83E-26 0.54726909 7.514403 1.13E-11 Significance F 1.12925E-11 Lower 95% Upper 95% Lower 95.0% Upper 95.0% 81.95419812 110.0589093 81.95419812 110.0589093 3.028845917 5.195955338 3.028845917 5.195955338
Calculate the correlation coefficient between the two variables using the sample data.
Interpret the answer in the context of the subject matter.
b) What is the p-value of the significance test on the population correlation coefficient? What
can you conclude based on this result?
Write down the equation of the regression line and find the coefficient of determination.
a)
c)
d) Interpret the slope of the regression line. Make sure your answer is written in the context
of the subject matter and with proper units to values.
What is the expected systolic blood pressure of a subject if his salt consumption is 9.5
grams per day? Comment on the range of x-values in the sample for such prediction to be
accurate.
e)
Transcribed Image Text:Calculate the correlation coefficient between the two variables using the sample data. Interpret the answer in the context of the subject matter. b) What is the p-value of the significance test on the population correlation coefficient? What can you conclude based on this result? Write down the equation of the regression line and find the coefficient of determination. a) c) d) Interpret the slope of the regression line. Make sure your answer is written in the context of the subject matter and with proper units to values. What is the expected systolic blood pressure of a subject if his salt consumption is 9.5 grams per day? Comment on the range of x-values in the sample for such prediction to be accurate. e)
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