Question

1. Determine the Pearson product-moment correlation coefficient for the following data.

x	1	11	9	7	4	3	2
y	10	4	4	5	7	7	8

Correlation coefficient, r = enter the Correlation coefficient rounded to 3 decimal places

2.

People in the aerospace industry believe the cost of a space project is a function of the mass of the major object being sent into space. Use the following data to develop a regression model to predict the cost of a space project by the mass of the space object. Determine r² and s_e.

Weight (tons)	Cost ($ millions)
1.897	$ 53.6
3.019	184.8
0.453	6.4
0.960	23.5
1.058	34.3
2.100	110.4
2.394	104.6

*(Do not round the intermediate values. Round your answers to 4 decimal places.)
**(Round the intermediate values to 4 decimal places. Round your answer to 3 decimal places.)


ŷ = enter a number rounded to 4 decimal places  * + enter a number rounded to 4 decimal places * x
r² = enter a number rounded to 3 decimal places  **
s_e = enter a number rounded to 3 decimal places

Answer 1

1)

r = -0.945

2)

= -37.8617 + 65.8726 x

r ² = 0.905

se = 21.150