The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below. Patient A B C D E F G H I J Age(X) in Years 20 25 50 30 45 60 10 15 35 70 BP(Y) in (mmHg) 80 85 125 90 100 135 80 70 100 140 NB: Approximate to 2 decimal places Use the table to answer the questions that follow; i) Calculate the product moment correlation coefficient for the data and interpret your result. ii) If the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer. iii) Give a reason to support fitting a regression model of the form ? = ? + ?? + ? , where (a) is the y-intercept or constant, (b) is the slope of the function, (y) is the blood pressure of a patient, (X) is the age of a patient and ? is the error term. iv) From the model specified in (iii), estimate the values of (a) and (b) and interpret the values v) What is the blood pressure of an infant at birth? vi) Predict the blood pressure of a patient who is 90 years old. vii) Estimate the coefficient of determination and interpret your result.
The Senator of Azenator State, is worried about the rising numbers in high blood pressure related deaths in his Jurisdiction and wants an end to this canker. A reputable medical research officer has claimed that, the situation is probably as a result of the ageing population of his State. The blood pressures, Y (mmHg), and Ages, X (years) of 10 hospital patients were sampled from Azenator State and summarized below.
| Patient | A | B | C | D | E | F | G | H | I | J |
| Age(X) in Years | 20 | 25 | 50 | 30 | 45 | 60 | 10 | 15 | 35 | 70 |
| BP(Y) in (mmHg) | 80 | 85 | 125 | 90 | 100 | 135 | 80 | 70 | 100 | 140 |
NB: Approximate to 2 decimal places
Use the table to answer the questions that follow;
i) Calculate the product moment
ii) If the Senator decides to purchase and distribute Norvasc (a medicine that reduces blood pressure), based on your results in (i), which age group (youth or old adults) should be given priority? Briefly explain your answer.
iii) Give a reason to support fitting a regression model of the form ? = ? + ?? + ? , where (a) is the y-intercept or constant, (b) is the slope of the
iv) From the model specified in (iii), estimate the values of (a) and (b) and interpret the values
v) What is the blood pressure of an infant at birth?
vi) Predict the blood pressure of a patient who is 90 years old.
vii) Estimate the coefficient of determination and interpret your result.
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