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The developer of a new plant fertilizer gathered data about the quantity of fertilizer applied to a lemon tree and the number of lemons it produced. He used a graphing tool to organize the data in a scatter plot and find the line of best fit. He found that the relationship between grams of fertilizer, x, and the number of lemons, y, is modeled by the equation y = 0.316x + 12.214, and the correlation coefficient for the data is 0.948.
Could this line of best fit be used to make reliable predictions?

A. No, because the slope of the line is closer to 0 than to 1, which indicates a weak association between the variables.
B. No, because the correlation coefficient is closer to 1 than to 0, which indicates a weak association between the variables.
C. Yes, because the slope of the line is closer to 0 than to 1, which indicates a strong association between the variables.
D. Yes, because the correlation coefficient is closer to 1 than to 0, which indicates a strong association between the variables.

Answer :

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Answer:

D. Yes, because the correlation coefficient is closer to 1 than to 0, which indicates a strong association between the variables.

Step-by-step explanation:

The line of fit can be used to make relaible predictions as  the correlation coefficient is closer to 1 than to 0, which indicates a strong association between the variables, the correct option is D.

What is Correlation Coefficient?

Correlation coefficient is the parameter used to show the strength of the relation between the variables.

It can also be defined as the measure of how change in one variable is reflected in the other variables.

The line of best fit is drawn on the basis of the behaviour of the points on the scatter plot, the strength of the line of best fit is determined by the correlation coefficient.

The equation is y = 0.316x +12.214

Correlation coefficient of the data is 0.948

Values of correlation coefficent nearer to 0 shows, weak relation and nearer to 1 shows strong relation.

The Correlation for the line of best fit given is nearer to 1 and so the strength of the line drawn on the scatter plot is high and can be perfectly used to relate the variables.

Yes, because the correlation coefficient is closer to 1 than to 0, which indicates a strong association between the variables.

To know more about Correlation Coefficient

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