Question: From the previous assignment, #12, the following table that lists pulse rates (bpm), systolic blood pressures (mm Hg), and diastolic blood pressures (mm Hg) of
From the previous assignment, #12, the following table that lists pulse rates (bpm), systolic blood pressures (mm Hg), and diastolic blood pressures (mm Hg) of adult males were used.
PULSESYSTOLICDIASTOLIC
8812871
7110668
8313275
8010866
6616075
679854
7215891
7611472
9412469
7411676
6210461
9612870
A simple linear regression analysis was performed for the variables Systolic and Diastolic.The desire is to predict diastolic pressure based on someone's systolic pressure.The following regression analysis output from Excel was generated.Answer the following 4 questions, A through D, based on the data and output.Your numerical answers need not be rounded.
PART A. (3 points)
Write the regression equation by identifying the estimates and appropriate variables in y-hat = b0+ b1x1.Then, interpret the regression coefficients.
Regression Equation:
b0Interpretation:
b1Interpretation:
PART B. (3 points)
What is the variance, the coefficient of determination and the result of the hypothesistest of the model?
Variance: _____
Coefficient of determination: _____
Hypothesis test result: ______
Choose to Reject / Fail to Reject the model: ______
PART C. (3 points)
Now that we have the results for the regression model, we'd like to see the prediction interval for a male who has a high-normal systolic pressure of 121 mm Hg.Using a significance level of 1%, what is the prediction interval for this level of systolic pressure?As well, provide some of the components involved in calculating theprediction interval.
y0prediction: _____
Standard error of the prediction interval, SEy: _____
Critical t-score: _____
Lower Prediction Interval: _____
Upper Prediction Interval: _____
PART D. (2 points)
Identify the 95% confidence intervals for each of the regression coefficients.
Lower Limit for b0: ______
Upper Limit for b0: ______
Lower Limit for b1: ______
Upper Limit for b1: ______
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