Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.336 0.296 0.340 0.248 0.367 0.269 y 3.2 7.5 4.0 8.6 3.1 11.1 (b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.) t critical t ± (d) Find the predicted percentage of strikeouts for a player with an x = 0.288 batting average. (Use 2 decimal places.) % (e) Find a 95% confidence interval for y when x = 0.288. (Use 2 decimal places.) lower limit % upper limit %
Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information.
| x | 0.336 | 0.296 | 0.340 | 0.248 | 0.367 | 0.269 |
| y | 3.2 | 7.5 | 4.0 | 8.6 | 3.1 | 11.1 |
(b) Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.)
| t | |
| critical t ± |
(d) Find the predicted percentage of strikeouts for a player with an x = 0.288 batting average. (Use 2 decimal places.)
%
(e) Find a 95% confidence interval for y when x = 0.288. (Use 2 decimal places.)
| lower limit | % |
| upper limit | % |
(f) Use a 10% level of significance to test the claim that β ≠ 0. (Use 2 decimal places.)
| t | |
| critical t ± |
(g) Find a 95% confidence interval for β and interpret its meaning. (Use 2 decimal places.)
| lower limit | |
| upper limit |
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