(a) Suppose we want to use systolic blood pressure to predict diastolic blood pressure. The explanatory variable is and the response variable is (b) Describe the form, direction, and strength of the relationship: Form (Linear or Non-Linear) Direction (Positive or Negative) Strength (Weak or Moderate or Strong) (c) Find the value of the correlation coefficient between systolic blood pressure and diastolic blood pressure. (d) What percentage of the variation in diastolic blood pressure can be explained by systolic blood pressure? (e) Find an equation of the least-squares regression line for systolic blood pressure and diastolic blood pressure. (9 When I measured my blood pressure this morning, my systolic blood pressure was 121. Use the least-squares line to predict my diastolic blood pressure. (g) When my systolic blood pressure measured 121, my diastolic blood pressure reading was actually 77. Does the model overestimate, underestimate or accurately predict my diastolic blood pressure? (h) For what range of systolic blood pressure readings would it be appropriate to use this regression line equation to predict diastolic blood pressure (to avoid extrapolation)?
(a) Suppose we want to use systolic blood pressure to predict diastolic blood pressure. The explanatory variable is and the response variable is (b) Describe the form, direction, and strength of the relationship: Form (Linear or Non-Linear) Direction (Positive or Negative) Strength (Weak or Moderate or Strong) (c) Find the value of the correlation coefficient between systolic blood pressure and diastolic blood pressure. (d) What percentage of the variation in diastolic blood pressure can be explained by systolic blood pressure? (e) Find an equation of the least-squares regression line for systolic blood pressure and diastolic blood pressure. (9 When I measured my blood pressure this morning, my systolic blood pressure was 121. Use the least-squares line to predict my diastolic blood pressure. (g) When my systolic blood pressure measured 121, my diastolic blood pressure reading was actually 77. Does the model overestimate, underestimate or accurately predict my diastolic blood pressure? (h) For what range of systolic blood pressure readings would it be appropriate to use this regression line equation to predict diastolic blood pressure (to avoid extrapolation)?
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Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Transcribed Image Text:A blood pressure measurement consists of two mumbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum
pressure taken at the beginning of the heartbeat. Blood pressures taken at rest were measured, in millimeters, for a sample of 15 adults. The following table presents the results.
Systolic
Diastolic
134
115
113
123
77
119
118
130
116
133
112 107 110105 157 154
87
83
77
69
88
76
70
91
75
71 74 66 103 94
Below is a scatterplot of the data set.
100
110
120
130
140
150
160
06
08
09
110
Transcribed Image Text:(a) Suppose we want to use systolic blood pressure to predict diastolic blood pressure. The explanatory variable is
and the response variable is
(b) Describe the form, direction, and strength of the relationship:
Form (Linear or Non-Linear)
Direction (Positive or Negative)
Strength (Weak or Moderate or Strong)
(c) Find the value of the correlation coefficient between systolic blood pressure and diastolic blood pressure.
(d) What percentage of the variation in diastolic blood pressure can be explained by systolic blood pressure?
(e) Find an equation of the least-squares regression line for systolic blood pressure and diastolic blood pressure.
(f) When I measured my blood pressure this morning, my systolic blood pressure was 121. Use the least-squares line to predict my diastolic blood
pressure.
(g) When my systolic blood pressure measured 121, my diastolic blood pressure reading was actually 77. Does the model overestimate, underestimate or accurately predict my diastolic blood pressure?
(h) For what range of systolic blood pressure readings would it be appropriate to use this regression line equation to predict diastolic blood pressure (to avoid extrapolation)?
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