Question

For Exercise 1 through 7, do a complete regression analysis by performing the following steps.

a.Draw the scatter plot.

b.Compute the value of the correlation coefficient.

c.Test the significance of the correlation coefficient at α = 0.01, using Table I or use the P-value method.

d.Determine the regression line equation if r is significant.

e.Plot the regression line on the scatter plot, if appropriate.

f.Predict y′ for a specific value of x, if appropriate.

Sections 10–1 and 10–2

1.Customer Satisfaction and Purchases At a large department store customers were asked to rate the service and the materials purchased on a scale from 1 to 10, with 10 being the highest rating. Then the amount that they spent was recorded. Is there evidence of a relationship between the rating and the amount that they spent? Please do by hand and show work

Rating x	6	8	2	9	1	5
Amount spent y	$90	$83	$42	$110	$27	$31

Answer: 1.H₀: ρ = 0; H₁: ρ ≠ 0; r = 0.864; C.V. = ±0.917; d.f. = 4; do not reject. There is not a significant linear relationship between the rating and the amount that they spent. No regression analysis should be done. P = 0.0263

Answer 1