Question

1- Suppose that a sample of 35 pairs of data produced a test statistic of r = 0.335. A significance level of αα = 0.10 is to be used.

(a) Find the critical values that would be used to test for significant linear correlation. Do not type "±±" in front of your answer (the ±± is already given in front of the answer box below). Round your answer to 3 places after the decimal point, if necessary.

r = ±±

(b) Is there significant linear correlation in this case?

• There is significant linear correlation.
• There is not significant linear correlation.

2- In each of the two parts below, assume that the given x-value comes from within the range of sample data. (In other words, there will be no extrapolation.)

Round your answers to 3 places after the decimal point, if necessary.

(a) Suppose a sample of 23 pairs of sample data result in a test statistic of r=0.662r=0.662 and the regression equation ˆy=4+8.8xy^=4+8.8x. Additionally, ¯y=85.5y¯=85.5 for this data.

What is the best predicted value of y for x = 30?

(b) Suppose a sample of 21 pairs of sample data result in a test statistic of r=0.199r=0.199 and the regression equation ˆy=5.7+0.2xy^=5.7+0.2x. Additionally, ¯y=79.9y¯=79.9 for this data.

What is the best predicted value of y for x = 27?

Answer 1