Estimate the correlation coefficient for the datasets plotted in the following scatterplot.
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 *(Display the image of the scatterplot)*
#### Graph Explanation:
The scatterplot displays data points on a two-dimensional graph. The x-axis is labeled with values ranging from 900 to 1300, and the y-axis is labeled with values ranging from 0 to 4. Each point on the graph represents a pair of values from two datasets.
The points show a general upward trend as we move from left to right across the scatterplot. This suggests a positive relationship between the two variables.
#### Multiple-Choice Options:
To estimate the correlation coefficient, choose one of the following options:
- ⃝ -0.99
- ⃝ -0.66
- ⃝ 0
- ⃝ 0.66
- ⃝ 0.99
#### Explanation:
The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this scatterplot, the data points are closely clustered along an upward slope, indicating a strong positive correlation. Therefore, the most appropriate choice would be:
- ⃝ 0.99](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23f14c8c-5141-4be2-aa93-07a6356450c6%2F09aaf933-55e8-4ebb-afbc-88362b898351%2Fr4e8m8b_processed.jpeg&w=3840&q=75)
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- D Correlation coeff, r: 0.961961 Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying Correlation Results display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of a=0.05. Critical r: +0.2680855 P-value (two tailed): 0.000 C -- there is not a linear correlation between the two. OB. Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could not be used to predict weight because there is too much variance in the weight of the bears. OC. Yes, it is easier to measure a chest size than a weight because measuring weight…Can you help me out by showing me an example of a weak positive correlation scatter plot? with a relistic example that shows the two variables that demonstrate this pattern?Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a =0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? 228 Lemon Imports Crash Fatality Rate 266 358 484 531 15.8 15.7 15.5 15.2 14.8 O C. Ho: p=0 YD. Ho: p=0 H,:p>0 H1: p#0 Construct a scatterplot. Choose the correct graph below. O A. В. Oc. C. OD. Ay 17- Ay 174 Ay 17- Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- 14- 14- 14+ 14- -> 600 -> 200 400 600 200 400 600 200 400 200 400 600 The linear correlation coefficient is r= -0.971. (Round to three decimal places as needed.) The test statistic is t= - 7.036 . (Round to three decimal places as needed.) The P-value is (Round to three decimal…
- Construct a stem-and-leaf diagram for the accompanying data, using two lines per stem. 2030454746403734363135353425374542224326The table below includes data from taxi rides. The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars. Is there sufficient evidence to conclude that there is a linear correlation between the time of the ride and the tip amount? Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α = 0.01. Does it appear that riders base their tips on the time of the ride? Click here for information on the taxi rides. Construct a scatterplot. Choose the correct graph below. OA. 25 은 Q Q 0+ 0 35 Ride time (minutes) Determine the linear correlation coefficient. The linear correlation coefficient is r= (Round to three decimal places as needed.) &B. 25- Q 0- bro 0 35 Ride time (minutes) Taxi data Distance 0.63 6.00 6.30 1.89 Time Fare Tip C... 2.44 18.00 14.30…Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? 484 534 Lemon Imports Crash Fatality Rate 229 15.8 266 15.7 359 15.5 15.3 14.8 What are the null and alternative hypotheses? OA. H₂: p=0 H₁: p0 OD. Ho: p*0 H₁: p=0 OC. Ay 17+ 16- ܕ 15 14+ HHHH ▬▬▬▬▬ % do 6 200 400 600 G O D. Aу 17- 16 :|||||||* 15- 14+ 0 H °. C M o do 200 400 600 Q C sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of a = 0.05.
- The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of α = 0.01. Click the icon to view the ages of the award winners. 70- 20- 20 70 Best Actress (years) 20- 20 70 Best Actress (years) The linear correlation coefficient is r= -0.248. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. = 0 Ho: P H₁:p # 0 (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) ... 70- 20- al 20 70 Best Actress (years) Best Actor (years) 60 70- H HHHH HE 20- 20 Best Actress (years) 70 S 3Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 229 266 359 480 530 15.9 15.6 15.5 15.3 14.9 Construct a scatterplot. Choose the correct graph below. OA. В. Ос. D. Ay 17- Ay 17- Ay 17- Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- 14+ 14+ 14- 14+ 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient r is (Round to three decimal places as needed.)Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 231 266 359 480 532 15.9 15.7 15.4 15.2 14.8 Ay 17- Ay 17- Ay 17+ Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- X 14- 14+ 14- 14- 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient r is (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a…
- Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 228 264 358 482 531 15.9 15.7 15.5 15.3 14.9The following calculator screenshots show the scatterplot and the correlation coefficient between the number of days absent and the final grade for a sample of college students in a general education statistics course at a large community college. LinRegTTest y=a+bx 8#0 and P#0 tb=-2.827272727 s=3.067320418 r2=.8975572812 r=-.9473949974 The relationship between "days absent" and "final grade" can be described as O A strong negative linear relationship De O A weak negative relationship A strong positive linear relationship O A moderate positive linear relationship ISListed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a= 0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 266 15.7 228 358 484 531 15.8 15.5 15.2 14.8 What are the null and alternative hypotheses? O B. Ho: p=0 O A. Ho: p#0 H1:p=0 H1:p0 H,: p#0 Construct a scatterplot. Choose the correct graph below. OA. B. Oc. OD. Ay 17- Ay 17- AY 17- Ay 17- 16- Q 16- 16- 16- 15- 15- 15- 15- 14- 14+ 14- 14- 200 400 600 200 400 600 200 400 6ỏ0 200 400 600 The linear correlation coefficient is r= (Round to three decimal places as needed.)
