Question

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? Enter the answer as a number rounded to the second decimal places, such as: 425.36.

a) 141.65

b) 224.79

c) 174.57

d) 376.29

Answer 1

To predict the number of days a person would be happy when there are 150 rainy days, substitute x = 150 into the regression equation y = 12 + 0.8643x.

Step-by-step explanation:

To find the number of days a person would be predicted to feel happy when there are 150 rainy days in the city, we can substitute x = 150 into the regression equation y = 12 + 0.8643x.

So, y = 12 + 0.8643(150) = 12 + 129.645 = 141.645.

Therefore, a person would be predicted to feel happy for approximately 141.65 days.