In: Math
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.
3.Puppy Cuteness and Cost A researcher feels that a pet store bases the cost of puppies on the cuteness of the animals. Eight puppies were rated on their cuteness. The ratings were from 1 to 6, with 6 being the highest rating. The ratings and the cost in dollars of the puppies are shown. Is there a significant relationship between the variables? Please do by hand and show work.
Rating |
6 |
2 |
1 |
4 |
5 |
2 |
3 |
4 |
Cost |
$80 |
$42 |
$27 |
$64 |
$50 |
$39 |
$18 |
$44 |
Answer: 3.H0: p = 0; H1: ρ ≠ 0; r = 0.761; C.V. = ±0.834; d.f. = 6; do not reject. There is not a significant linear relationship between the rating and the cost. No regression analysis should be done. P = 0.0284