Researchers asked each child in a sample of 411 school-age children if they were more or less likely to purchase a lottery ticket at a store if lottery tickets were visible on the counter. The percentage that said that they were more likely to purchase a ticket by grade level are as follows: Grade Percentage that said they were more likely to purchase 6 32.6 8 46.2 10 75.1 12 83.3 Find the equation of the least-squares line, where y = percentage who said they were more likely to purchase and x = grade. (Give the answer to two decimal places.)
Researchers asked each child in a sample of 411 school-age children if they were more or less likely to purchase a lottery ticket at a store if lottery tickets were visible on the counter. The percentage that said that they were more likely to purchase a ticket by grade level are as follows: Grade Percentage that said they were more likely to purchase 6 32.6 8 46.2 10 75.1 12 83.3 Find the equation of the least-squares line, where y = percentage who said they were more likely to purchase and x = grade. (Give the answer to two decimal places.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Researchers asked each child in a sample of 411 school-age children if they were more or less likely to purchase a lottery ticket at a store if lottery tickets were visible on the counter. The percentage that said that they were more likely to purchase a ticket by grade level are as follows:
| Grade | Percentage that said they were more likely to purchase |
| 6 | 32.6 |
| 8 | 46.2 |
| 10 | 75.1 |
| 12 | 83.3 |
Find the equation of the least-squares line, where y = percentage who said they were more likely to purchase and x = grade. (Give the answer to two decimal places.)
=
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