An Actuary Wanted to Develop a Model to Predict How

question 178

Essay

An actuary wanted to develop a model to predict how long individuals will live. After consulting a number of physicians, she collected the age at death (y), the average number of hours of exercise per week (x1), the cholesterol level (x2), and the number of points that the individual's blood pressure exceeded the recommended value (x3). A random sample of 40 individuals was selected. The computer output of the multiple regression model is shown below. Is there enough evidence at the 10% significance level to infer that the model is useful in predicting length of life?
______________ enough evidence at the 10% significance level to infer that the model is useful in predicting length of life.
Is there enough evidence at the 1% significance level to infer that the average number of hours of exercise per week and the age at death are linearly related?
What is the test statistic?
t = ______________
Conclude:
______________ .
There ______________ enough evidence at the 1% significance level to infer that the average number of hours of exercise per week and the age at death are linearly related.
Is there enough evidence at the 5% significance level to infer that the cholesterol level and the age at death are negatively linearly related?
What is the test statistic?
t = ______________
Conclude:
______________ .
There ______________ enough evidence at the 5% significance level to infer that the cholesterol level and the age at death are negatively linearly related.
Is there sufficient evidence at the 5% significance level to infer that the number of points that the individual's blood pressure exceeded the recommended value and the age at death are negatively linearly related?
What is the test statistic?
t = ______________
Conclude:
______________ .
There ______________ sufficient evidence at the 5% significance level to infer that the number of points that the individual's blood pressure exceeded the recommended value and the age at death are negatively linearly related.
What is the coefficient of determination? ______________
Explain:
________________________________________________________

---

Definitions:

Purchase Decisions

The thought process and actions taken by consumers when choosing whether to buy a product or service.

Sentiment Mining

The process of analyzing online pieces of text to determine the emotional tone they carry, for purposes like understanding customer opinions.

Social Media Sites

Platforms where users create, share, and interact with content and each other online.

Unstructured Question

A type of question that is open-ended, allowing respondents to answer in their own words, providing rich qualitative data.