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info@snapandsolve.comThe linear regression model is incomplete. To complete it, calculate the slope (rate of change) and y-intercept using the given data points.
The rate of change (slope) is the change in the price of the ticket per change in speed. Calculate it using two data points: (68, 37) and (65, 25). Slope = (37 - 25) / (68 - 65) = 12 / 3 = 4.
The y-intercept is the price of the ticket when the speed is 0 mph. Use the equation y = 4x + b and a data point to solve for b. Using (65, 25): 25 = 4(65) + b, b = 25 - 260 = -235.
To predict the price of a ticket at 85 mph, use the equation y = 4x - 235. y = 4(85) - 235 = 340 - 235 = 105. The predicted price is $105.
The slope in context is the increase in the price of the ticket for each additional mph over the speed limit.
The y-intercept in context is the hypothetical price of a ticket if the speed were 0 mph, which is not realistic in this context.
The R value (correlation coefficient) measures the strength and direction of the linear relationship between speed and ticket price. It is not provided in the image.
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