Use the linear transformation model to predict the number of fish in 12 months
log y = 0.9013.logx+ 0.6935
12. Four research participants take a test of manual dexterity (high scores mean better dexterity) and an anxiety test (high scores mean more anxiety). The scores are as follows.
Person Dexterity Anxiety
1 1 10
2 1 8
3 2 4
4 4 –2
(a) Scatter Graph:
Scatter and Regression
Sorry I am not following you on this.
To use the linear transformation model to predict the number of fish in 12 months, we first need to understand the equation provided:
log y = 0.9013.log x + 0.6935
Here, "log" refers to the logarithm function, and "y" represents the number of fish. Similarly, "x" represents the number of months.
To predict the number of fish in 12 months, we substitute the value of "x" as 12 in the equation and solve for "y":
log y = 0.9013.log 12 + 0.6935
First, calculate the logarithm of 12 using a calculator or logarithm table:
log 12 ≈ 1.0792
Substituting this value into the equation:
log y = 0.9013 * 1.0792 + 0.6935
Now, perform the multiplication and addition:
log y ≈ 0.9738 + 0.6935
log y ≈ 1.6673
To find the value of "y," we need to take the anti-logarithm (exponentiation) of both sides of the equation:
y ≈ 10^(1.6673)
Using a calculator, evaluate the exponentiation:
y ≈ 47.315
Therefore, according to the linear transformation model, the predicted number of fish in 12 months is approximately 47.315.