A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 44 69 42 45 57 51 59 43 40 Sprout Percent 61 50.5 72 71.5 54.5 60.5 56.5 63.5 62 Find the correlation coefficient: r=r= Round to 3 de
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A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below.
| Seeds Produced | 44 | 69 | 42 | 45 | 57 | 51 | 59 | 43 | 40 |
|---|---|---|---|---|---|---|---|---|---|
| Sprout Percent | 61 | 50.5 | 72 | 71.5 | 54.5 | 60.5 | 56.5 | 63.5 | 62 |
- Find the
correlation coefficient : r=r= Round to 3 decimal places. - The null and alternative hypotheses for correlation are:
H0:H0: == 0
H1:H1: ≠≠ 0
The p-value is: ? (Round to 5 decimal places)
Step by step
Solved in 2 steps with 1 images
- Which of the following Pearson correlations shows the greatest strength or consistency of relationship? a. +0.74 b. –0.90 c. –0.33 d. +0.85The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. ... Interpret the correlation. Choose the correct answer below. O A. Aging causes the number of words in children's vocabulary to increase. B. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary. O C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the n O D. Aging causes the number of words in children's vocabulary to decrease. CE. As age increases, the number of words in children's vocabulary tends to increase. there is a significant linear correlation O F. As age increases, the number of words in children's vocabulary tends to decrease. there is no correlation (d) Use the…A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 68 56 61 Sprout Percent 60.6 69.2 = 0 48 64.7 64.6 #0 a. Find the correlation coefficient: b. The null and alternative hypotheses for correlation are: H₂: ? H₁: 2 The p-value is: 63 64.1 40 Round to 2 decimal places. 63 62 65.1 68.4 84 (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that a plant that produces more seeds will have seeds with a lower sprout rate than a plant that produces fewer seeds. O There is statistically significant…
- Many people believe that crime rate declines with age. a) Use the data below to verify whether this is true using a scatterplot. b) Is the relationship between crime rate and age strong, medium, or weak? c) Can the correlation coefficient be used to measure the extent to which crime rate is related to age? E Click the icon to view the data. a) Choose the correct scatterplot below. O A. O B. OC. OD. 20,000- 20,000- 20,000- 20,000- 0- Age Age Age Age Does it appear that the crime rate declines with age? O A. The crime rate tends to gradually increase with age. B. The crime rate tends to increase until adulthood, after which it gradually declines. OC. The crime rate tends to increase until middle age, after which it gradually declines. O D. The crime rate tends to gradually decrease with age. b) Is the relationship between crime rate and age strong, medium, or weak? O A. The scatterplot appears to show a medium relationship. B. The scatterplot appears to show a weak relationship. O C. The…A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAS. The results of the survey are shown below. Lovers GPA 6 3 4 4 7 6 2.2 2.2 2.3 2 2 3.4 3.8 1.9 2.3 a. Find the correlation coefficient: r= Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: Hj: ?v + 0 = 0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. There is statistically significant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. O There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in…grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 12 26 5 28 11 24 20 21 16 Money 37 84 34 84 53 92 72 92 75 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: P == 0 H1:H1: P ≠≠ 0 The p-value is: (Round to four decimal places) r2 = (Round to two decimal places)
- A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 4 6 GPA 0 2.9 2.9 3.5 3 0 3.4 3.3 140 8 1.7 2 3.3 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: H₁: The p-value is: 6 6 2.4 1.9 Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. O There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. O There is statistically significant evidence to conclude that…The average normal daily temperature (in degrees Fahrenheit) and the corresponding average monthly precipitation (in inches) for the month of June are shown here for seven randomly selected cities in the United States. Avg. daily temp.x 86 81 83 89 80 74 64 Avg. mo. precip. y 3.4 1.8 3.5 3.6 3.7 1.5 0.2 Test the significance of the correlation coefficient at a=0.05 r = Step 1 State the hypotheses. Step 2 Find the test value. Step 3 Find the P-value. Step 4 Make the decision Step 5 Summarize the resultsThe numbers of pass attempts and passing yards for seven professional quarterback for a recent year are listed in the table below. Round all answers to the nearest 1000th. Pass attempts (x) 449 565 528 197 670 351 218 Passing Yards (y) 3265 4018 3669 1141 5177 2362 1737 Calculate the sample correlation coefficient, r. Describe the type of correlation coefficient and interpret the correlation in the context of the data.
- What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 8 women are shown in the table below. Time 82 24 64 52 82 12 77 89 Pounds 181 125 156 142 158 103 148 161 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? μ ρ r == 0H1:H1: ? r ρ μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the use of the regression line is not appropriate. There is statistically insignificant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. There…What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 7 women are shown in the table below. Time 47 65 51 50 76 46 60 Pounds 161 179 173 181 202 157 170 a. Find the correlation coefficient: r = 0.85 o Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: H : The p-value is: 0.0154 o (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. There is statistically insignificant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to…
