Question

Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot shows the data he gathered and the line of best fit. The equation of the line of best fit is y = 1.73x + 0.0924. Based on the line of best fit, approximately how many pink flowers are predicted to bloom on a shrub with 40 red flowers? A. 23 B. 56 C. 69 D. 80

Answer 1

Based on the line of best fit, approximately 69 pink flowers are predicted to bloom on a shrub with 40 red flowers.

To predict the number of pink flowers y based on the number of red flowers x using the given equation
`\(y = 1.73x + 0.0924\)`, substitute x = 40 into the equation:

`\[y = 1.73 * 40 + 0.0924\]`

`\[y \approx 69.0924\]`

So, based on the line of best fit, approximately 69 pink flowers are predicted to bloom on a shrub with 40 red flowers.

Hence, the prediction suggests approximately 69 pink flowers are expected to bloom on a shrub with 40 red flowers. This statistical model provides insight into the relationship between red and pink flowers, aiding in floral predictions for Mark's flowering shrubs.