The linear model suggests that, on average, the predicted number of text messages sent per day decreases by 0.8 for each additional year of age among smartphone users, with an intercept of 60 messages.
The least squares regression equation provided, "Predicted Number of Text Messages Sent = 60 – 0.8 • Age," encapsulates the relationship between age and the anticipated daily text messaging activity of smartphone users. In this linear model, the coefficient of -0.8 attached to the variable "Age" indicates the average decrease in the predicted number of text messages sent per day for each additional year of age. In other words, as users get older, the model suggests there is a diminishing trend in the frequency of text messaging, decreasing by an average of 0.8 messages per day.
The intercept term of 60 implies that when the age is zero (presumably at the lower limit of the age range), the predicted number of text messages sent is 60. This intercept represents the starting point of text messaging activity, suggesting that, on average, younger individuals may send around 60 messages per day. Therefore, the linear model provides insights into the relationship between age and text messaging habits, offering a quantitative estimate of how age correlates with changes in texting behavior among smartphone users.