A psychologist conducts a survey about the number of days per year a person was happy compared to the number of rainy days that occurred in their city. Let y be the number of days per year the person felt happy, and let x be the number of rainy days that occurred in their city. The regression equation from the study is y=12+0.8643x.
If there were 150 rainy days in a city, how many days would a person be predicted to feel happy?
y = 12 + .8643(150)
Solve for y.
plug x into the equation to find y
To find out how many days a person would be predicted to feel happy, we need to substitute the value of x (the number of rainy days) into the regression equation y=12+0.8643x.
In this case, x = 150 (the number of rainy days).
Substituting this value into the equation:
y = 12 + 0.8643(150)
y = 12 + 129.645
y = 141.645
Therefore, a person would be predicted to feel happy for approximately 141.645 days.
To find out how many days a person would be predicted to feel happy given 150 rainy days in their city, you can substitute x = 150 into the regression equation y = 12 + 0.8643x.
Let's do the calculation:
y = 12 + 0.8643(150)
y = 12 + 129.645
y = 141.645
Therefore, a person would be predicted to feel happy for approximately 141.645 days in a year if there were 150 rainy days in their city.