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The scatter plot shows the number of pumpkins that have been picked on the farm during the month of October:

A scatter plot with points showing an upward trend with points that are moderately spread out from a line of best fit. The y axis is labeled Number of Pumpkins and the x axis is labeled Days in October

Part A: Using computer software, a correlation coefficient of r = 0.51 was calculated. Based on the scatter plot, is that an accurate value for this data? Why or why not? (5 points)

Part B: Instead of comparing the number of pumpkins picked and the day in October, write a scenario that would be a causal relationship for pumpkins picked on the farm. (5 points)



Question 4 (Essay Worth 10 points)
(05.07 HC)

A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:


Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31


Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)


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Sagot :

The correlation coefficient of r = 0.51 shows that it's an accurate value for this data.

A scenario that would be a causal relationship can be the quantity of fertilizer used vs kg of pumpkins picked on the farm

There is a correlation between the number of hours of sunlight that a plant receives and the height to which it grows.

The function that best fits the data is y = 3x + 4.

The y-intercept indicates that the plant started at 4cm and the slope shows that with each hour of sunlight, the plant grows 3 inches.

What is a Scatter Plot?

The association between two variables that are correlated can be shown by a scatter plot which has a trendline along which the data points are located.

A correlation coefficient of r = 0.51 is accurate based on the scatter plot given. If the trendline slopes upwards from the left to the right, it shows a positive correlation and vice versa.

A scenario that would be a causal relationship can be the quantity of fertilizer used vs kg of pumpkins picked on the farm.

There is a direct correlation between the number of hours of sunlight that a plant receives and the height to which it grows. This can be seen through the growth in the plant.

The function is y = 3x + 4

When x = 0, y = 3(0) + 4 = 4.

In conclusion, y-intercept indicates that the plant started at 4cm and the slope shows that with each hour of sunlight, the plant grows 3 inches.

Learn more about scatter plot on:

brainly.com/question/6592115

#SPJ1

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