Determining significance of the correlation coefficient.Step 1: State the hypotheses. Ho: p = 0; H₁: p = 0Step 2: Find the critical values. Two-tailed, Table FStep 3: Compute the test value. t = rfreedom d.f. = n - 2Step 4: Make the decision.Step 5: Summarize the results.n-21-r²with degrees ofn(Exy) (Ex) (Ly)√[n(Ex²) - (Ex)²][n(Ey²) - (Ey)²]CALC: STAT →Tests LinRegTTestr =For each exercise, draw the scatter plot, determine if r is statisticallysignificant, find the equation of the regression line and find the y'valuefor the specified xvalue. Remember that no regression should be donewhen ris not significant. 2. Larceny crimes and vandalism crimes are as follows:Larceny, x 24616Vandalism, y 21Find y' when x = 40.Avg. mo. precip. y 3.43Find y' when x = 70° F.8161.8643.5153. Temperatures (in degrees Fahrenheit) and precipitation (in inches) are as follows:Avg. daily temp. x 8683898074103.621253.7611.53520640.2

The data set is given as follows:Larceny, x2461664102535Vandalism,y213615216120"Since you have…

Answered: 2. Larceny crimes and vandalism crimes…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 4E

See similar textbooks

Similar questions

Determining significance of the correlation coefficient. Step 1: State the hypotheses. Ho: p = 0; H₁: p = 0 Step 2: Find the critical values. Two-tailed, Table F Step 3: Compute the test value. t = r freedom d.f. = n-2 Step 4: Make the decision. Step 5: Summarize the results. 54 n-2 1-2 with degrees of For each exercise, draw the scatter plot, determine if r is statistically significant, find the equation of the regression line and find the y'value for the specified xvalue. Remember that no regression should be done when ris not significant. 8.2 1. New Broadway productions and seasonal attendance are as follows. No. Of 67 62 54 61 Productions Attendance 7.4 (million) Find y' when x = 48 new productions. n(Exy) - (Ex) (Ey) √[n(Ex²) - (Ex)²][n(Ey²) — (Ey)²] CALC: STAT →Tests →LinRegTTest 7.1 r = 8.8 9.6 60 11 50 8.4 37 7.4
(11.)Perform the test of hypotheses indicated, using the data from independent samples given. Use the p value approach. (The p-value can be only approximated.) a. Test Ho : H - Hz = 50 vs. Ha : µ, - u, > 50 @a = 0.01: = lu n1 = 30, x1 = 681 s1 = 8 n2 = 27, T2 = 625, 82 = 8 %3D b. Test Ho : 41 – Hz = 35 vs. Ha : Hi – Hy # 35@a = 0.10: n1 = 36, T1 = 325, 81 = 11 n2 = 29, T2 = 286. s2 = 7
Determining significance of the correlation coefficient. Step 1: State the hypotheses. Ho: p = 0; H₁: p = 0 Step 2: Find the critical values. Two-tailed, Table F Step 3: Compute the test value. t = r freedom d.f. = n - 2 Step 4: Make the decision. Step 5: Summarize the results. n-2 1-r² with degrees of n(Exy) (Ex) (Ly) √[n(Ex²) - (Ex)²][n(Ey²) - (Ey)²] CALC: STAT →Tests LinRegTTest r = For each exercise, draw the scatter plot, determine if r is statistically significant, find the equation of the regression line and find the y'value for the specified xvalue. Remember that no regression should be done when ris not significant.
EXER 6.3 Find the covariance and the correlation coefficient between X and Y, if X and Y are jointly discrete random variables, with joint PMF given by: SHOW SOLUTIONS X\Y 0 1 6 0 28 6 1 28 2 0 333333 28 28 28 2120 28 0
0. X and Y are two random variables with E(X) = 5, E(Y) = 10, o = 4 and o? = 9 respectively. The correlation coefficient between X and Y is 0.5. New variable U and V are defined as U =X+Y and V = X-Y. Find the correlation coefficient between 'U' and 'V'. %3D %3D
Living Arrangements A recent study of 100 individuals found the following living arrangement for men and women. The results are shown. Check the data for a dependent relationship at =α0.01. Use the critical value method with tables. Spouse Relative Nonrelative Alone Men 57 10 26 7 Women 43 6 28 23 Step 1: State the hypotheses and identify the claim with the correct hypothesis. One/Two tailed? Step 2: Find the critical value. Step 3: Compute the test value. Step 4: Make the decision. Step 5: Summarize the results.
The linear correlation coefficient is r=0.9780.978. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. H0:ρ ____ ______ H1:ρ _____ _______ (Type integers or decimals. Do not round.) The test statistic is t= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is less than or equal to: the significance level, there is: sufficient evidence to support the claim that there is a linear correlation between bill amounts and tip amounts. If everyone were to tip with the same percentage, then r= (Round to three decimal places as needed.)
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 136 to 190 cm and weights of 39 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yiel x= 167.51 cm, y = 81.36 kg,r= 0.232, P-value = 0.020, and y = - 103+ 1.13x. Find the best predicted value of y (weight) given an adult male who is 153 cm tall. Use a 0.01 significance level. The best predicted value of y for an adult male who is 153 cm tall is kg. (Round to two decimal places as needed.)
29) Two variables are measured on a random sample of n = 23. The sample data results ina sample correlation of 0.393. If you fit a simple regression model to the data, whatvalue would the coefficient of determination (or R-squared) take on?A) 0.627B) 0.393C) 0.154D) 0.000E) 0.296
Pi- P2 Z. = %3D SE Suppose a drug company is developing a vaccine, designed to protect against a particular virus. The company states that the vaccine will be equally effective for men and women. In its initial stage, a researcher selects a random sample of 200 men and 100 women independently. At the end of the study, 15 of the men and 10 of the women showed symptoms of the virus after taking the vaccine. Is there enough evidence to conclude that there is a significant difference in the proportions of men and women who show symptoms of the virus after taking the vaccine? (a) State the appropriate hypotheses to answer this question. (b) Compute the test-statistic. (c) (i) Calculate the p-value. (ii) Interpret the p-value you have found. (d) State your conclusion in context of the situation. Page 1 135
Consider the data. х, | 2 6 13 20 9 17 10 27 24 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. O Ho: B, + 0 H: B, = 0 O Ho: B, 2 0 H: B, < 0 O Ho: B, = 0 H: B + 0 O Ho: Bo = 0 H: Bo + 0 O Ho: Bo + 0 H: B, = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H. We cannot conclude that the relationship between x and y is significant. O Do not reject Hn. We conclude that the relationship between x and y is significant. O Reject H. We conclude that the relationship between x and y is significant. O Do not reject H.. We cannot conclude that the relationship between x and y is significant.
Find: Thus, the alternative hypothesis is ρ≠0. The null hypothesis must express equality. The correct null and alternative hypotheses are given below. use the same technology output that was used to calculate the correlation coefficient to find the t test statistic, rounding to two decimal places. Use the same technology output that was used to calculate the correlation coefficient and test statistic to find the P-value, rounding to three decimal places.

Recommended textbooks for you

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS

2. Larceny crimes and vandalism crimes are as follows: Larceny, x 24 6 16 Vandalism, y 21 Find y' when x = 40. 3 6 64 15 10 21 25 61 35 20