To find the best predicted productivity score for a person with a dexterity score of 32, we can use the regression equation and plug in the value of x=32.
First, we calculate the regression equation using the given data:
y = ax + b
r = 0.986
n = 10 (number of pairs of data)
df = n-2 = 8
Using the critical value of r for α = 0.05, with df=8, we find that the critical r-value is around 0.632.
Next, we calculate the best estimated regression equation:
y = ax + b = 8.244x - 181.645
Now, we plug in x=32 into the equation:
y = 8.244(32) - 181.645
y = 263.808 - 181.645
y ≈ 82.16
Therefore, the best predicted productivity score for a person with a dexterity score of 32 is approximately 82.16.
A)
Use the given data to find the best predicted value of the response variable.
The regression equation relating dexterity scores (x) and productivity scores (y) for the employees of a company is Ten pairs of data were used to obtain the equation. The same data yield r = 0.986 and
What is the best predicted productivity score for a person whose dexterity score is 32? Use α = 0.05.
(1 point)
Responses
177.91
58.20
66.62
56.30
1 answer
2 answers