Question 11: Consider a logistic regression model trained to predict …

Consider a logistic regression model trained to predict whether a customer will buy a product ($Y = 1$) or not ($Y = 0$) based on two features: $X_1$: number of website visits per week and $X_2$: time spent on product pages per visit (minutes). The fitted model is:

$\hat{p} = P(y = 1 \mid x_1, x_2) = \frac{1}{1 + e^{-(0.4x_1 + 0.1x_2)}}.$

For a customer who spends 4 minutes per visit, find how many weekly visits are required to make the predicted probability of purchase equal to 0.7. Enter the answer correct to 2 decimal places.