Questions: Refer to the accompanying scatterplot a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation c. Remove the point with coordinates (2,1) and find the correlation coefficient r and determine whether there is a linear correlation d. What do you conclude about the possible effect from a single pair of values?

Refer to the accompanying scatterplot a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation c. Remove the point with coordinates (2,1) and find the correlation coefficient r and determine whether there is a linear correlation d. What do you conclude about the possible effect from a single pair of values?
Transcript text: Refer to the accompanying scatterplot a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between $x$ and $y$. b. Find the value of the correlation coefficient $r$ and determine whether there is a linear correlation c. Remove the point with coordinates $(2,1)$ and find the correlation coefficient $r$ and determine whether there is a linear correlation d. What do you conclude about the possible effect from a single pair of values?
failed

Solution

failed
failed

Solution Steps

Step 1: Examining the scatterplot for correlation

Visually inspecting the scatterplot, the points appear clustered close to a horizontal line. This suggests there is very little correlation, certainly not a strong one, between x and y.

Step 2: Hypothesizing about the correlation coefficient

Since the points appear to have little correlation, the correlation coefficient _r_ is expected to be close to 0.

Step 3: Considering the impact of removing (2,1)

Removing the point (2,1) is unlikely to drastically change the correlation coefficient because the remaining points will still show a very weak relationship between x and y.

Final Answer:

a. No, the data points do not appear to have a strong linear correlation. b. A calculated _r_ value close to 0 would confirm this. c. Removing (2,1) is unlikely to significantly alter the correlation coefficient, it is still expected to be near zero.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Let G(x) = ∫ from e^(x^2) to e^(e^(z^2)) ln(t)/t dt. What is the domain of G?
failedAnswered
Determine the critical values for the confidence interval for the population standard deviation from the given values. Round your answers to three decimal places. n=7 and c=0.98
failedAnswered
Figure 9 Round your answer to four decimal places. θ ≈ Number radians
failedAnswered
Why does the government issue patents? The government issues patents A. to encourage competition among firms in markets with barriers to entry. B. to encourage firms to spend money on the research and development necessary to create new products. C. to ensure that new products are safe and effective for consumers. D. to limit excessive economic profits in the short run before new firms have had time to enter profitable markets. E. to prevent firms from keeping secret how a product is made. How long do patents last? A patent is the exclusive right to a product for a period of 30 years from the date the patent is filed with the government. (Enter your response as an integer.)
failedAnswered
Which of the following amino-acid substitutions is LEAST likely to be disruptive to protein function? Pick the correct answer Arginine to valine Lysine to glycine Aspartate to Glutamate Alanine to proline Cysteine to leucine