Please answer these four questions;

1. Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state

whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

r = 0.75, n = 9

2.Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level alpha. n = 11, alpha= 0.01

3.Use the given data to find the best-predicted value of the response variable. Six pairs of data yield r = 0.789 and the regression equation y-hat= 4x-2. Also, y-hat= 19.0 What is the best-predicted value of y for x = 5?

4.Construct the indicated prediction interval for an individual y.The paired data below consists of test scores and hours of preparation for 5 randomly selected students. The equation of the regression line is y-hat= 44.845 + 3.524x and the standard error of estimate is Se = 5.40. Find the 99% prediction interval for the test score of a person who spent 7 hours preparing for the test.

x Hours of preparation 5 2 9 6 10

y Test of Scor 64 48 72 73 80