A data set contains information on the grams of fat and number of calories in 20 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.1. Calculate the p-value for the two-tailed test of significance. use excel
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A data set contains information on the grams of fat and number of calories in 20 different fast foods. The
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- An educational psychologist wants to examine the relationship between the type of instruction (online/face-to-face) and the stress levels of college students. Which statistic should the psychologist use? A: Point biserial correlation B: Chi-squared C: Spearman's rho D: Pearson correlationA pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects eleven 3-year-old children from her practice and measures their heights and head circumference. According to the data, the linear correlation coefficient between the height and head circumference of a child is 0.918. Compute the coefficient of determination, R². A. 91.8% O B. 84.3% OC. 82.6% O D. 8.2%Four different paints are advertised as having the same drying time. To check the manufacturers' claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded for each sample. The data obtained follow. Excel File: data16-21.xls Paint 3 Paint 4 133 150 143 142 137 135 136 140 131 153 a. Use a = 0.05 to test for any significant differences in mean drying time among the paints. If your answer is zero, enter "0". Lets define the dummy variables as follows: D1 20100 D2 0 0 1 D3 0 0 0 1 Paint 1 128 137 135 124 141 Paint 1234 Paint 2 144 133 142 146 130
- Ten children took part in a study at their dentist’s office. The dentist collected data on how many pieces of candy the children ate after Halloween and the number of cavities six months later. A correlation was conducted between pieces of candy consumed after Halloween and number of new cavities after Halloween. The Pearson correlation was .892, with p < .001. What can you conclude about the relationship between pieces of candy consumed after Halloween and the number of new cavities after Halloween? Be sure to state your statistics in APA styleListed below are amounts of bills for dinner and the amounts of the tips that were left. 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 a = 0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) Tip Amount ($) Construct a scatterplot. Choose the correct graph below. O A. 25- 30 C ● ·· Bill Amount (S) 32.25 49.72 87.12 101.52 66.52 104.21 4.25 7.70 7.90 11.83 7.08 11.35 120 Q M O B. Tip Amount ($) 25- ++++ 30 .. Bill Amount (S) 120 Q Q M C O C. Tip Amount ($) 25- 0+ 30 ● ·· Bill Amount ($) 120 Q Q O D. ip Amount ($) 25- to 0- 30 · Bill Amount (S) 120 Q Q UA university would like to describe the relationship between the GPA and the starting monthly salary of a graduate who earned a business degree from the university. The table shown below gives the monthly starting salaries for five graduates of the business school along with their corresponding GPAs. These data have a sample correlation coefficient, rounded to three decimal places, of 0.965. Using x=0.10, test if the population correlation coefficient between the starting salary and the GPA of a university business graduate is greater than zero. Starting Salary $2,600 $2,900 GPA 3.1 3.4 What are the correct null and alternative hypotheses? O A. Ho: p0. H₁₂₁: p=0 $2,400 2.6 O C. Ho: p≤0 H₁: p>0 What is the test statistic? t = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) State the conclusion. Ho. There $2,900 3.7 $2,200 2.5 OB. Ho: p=0 H₁:p #0 O D. Ho: p20 H₁: p<0 enough evidence from the sample to conclude that p is…
- Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)A data set contains information on the grams of fat and number of calories in 24 different fast foods. The correlation coefficient between fat content and calories is determined to be -0.63. Calculate the p-value for the test of significance.A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be -0.45. Calculate the p-value for the test of significance.
- 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 3The 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=0.05. LOADING... Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. A. 20702070Best Actress (years)Best Actor (years) A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted. Eleven of the plotted points follow the pattern of a line rising from left to right passing through the points (24, 38) and (66, 58). An…For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r = 0.862. Using a = 0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? Click here to view a table of critical values for the correlation coefficient. a. Is there a linear correlation between chest size and weight? O A. No, because the absolute value of r exceeds the critical value of 0.707. O B. Yes, because r falls between the critical values of -0.707 and 0.707. O C. Yes, because the absolute value of r exceeds the critical value of 0.707. O D. The answer cannot be determined from the given information. b. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size? (Round to three decimal…