Based on the following data, construct the ANOVA table and figure out the R² and R² by hand, and then check your results based on the JMP. X 1 2 3 4 5 6 7 8 y 19.9 37.5 62.3 79.4 102.5 119.1 142.7 158.5 Finish the ANOVA table (To save your time, I give you SS residual= 27.499) Source Model(Reg) Error(Residual) Total R²=? R²adj =? DF Sum of Squares 27.499 Mean Squares F ratio Show me your calculation procedure Based on the JMP result, write the specific prediction equation (i.e.ŷ=?) Explain the meaning of parameters in the prediction equation and the meaning of R². adj
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- Can you help me with C thank you! It's finding the sample size.4A random sample of 33 professional baseball salaries from 1985 through 2015 was selected. The league of the player (American or National) was also recorded. Salary (in thousands of dollars) and league are shown in the accompanying table. Test the hypothesis that there is a difference in the mean salary of players in each league. Assume the distributions are Normal enough to use the t-test. Use a significance level of 0.05. Click the icon to view the data table. --..- Determine the hypotheses for this test. Let u, be the population mean salary of players in the American League and let pn be the population mean salary of players in the National League. Choose the correct answer below. O B. Ho: Ha = Hn O C. Ho: Ha = Hn Ha: Ha > Hn A. Ho: Ha = Hn. Ha: Ha + Hn Ha: Ha Hn Ha: Ha = Hn Ha: Ha = Hn Ha: Ha = Hn Find the test statistic for this test. t= (Round to two decimal places as needed.)
- Fill in the missing entries in the partially completed one-way ANOVA table. Source df SS MS = SS/df F-statistic %3D Treatment 1.587 0.529 0.74 Error 26 Total Complete the table below. Source df SS MS = SS/df F-statistic Treatment 1.587 0.529 0.74 Error 26 Total (Type integers or decimals rounded to three decimal places as needed.)Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield y = 97.75, r 0.924, P-value = 0.000, and y = 0.11 + 0.99x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 95? Use a significance level of 0.05. %3D Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is (Round to two decimal places as needed.)For the population of college students, the number of hours spent studying per week is normally distributed with a = 4.40 and = 2.32 hours. We surveyed a random sample of students majoring in psychology about the number of hours they spent studying this past week. The data is as follows: 6, 8, 9, 4, 3, 11, 4, 6, 5, 7 Is there a risk of a Type II error? Explain
- Scores in the first and fourth (final) rounds for a sample of golfers who competed in PGA tournaments are shown in the following table. Suppose you would like to determine whether the mean score for the first round of PGA Tour event is significantly different than the mean score for the fourth and final round. Does the pressure of playing in the final round cause scores to go up? Or does the increased player concentration cause scores to come down? Enter negative values as negative numbers. First Final First Final Player Round Round Player Round Round Michael Letzig 71 66 Aron Price 70 68 Scott Verplank 69 75 Charles Howell 72 66 D.A. Points 65 67 Jason Dufner 69 70 Jerry Kelly 65 65 Mike Weir 69 73 Soren Hansen 66 75 Carl Pettersson 70 68 D.J. Trahan 73 69 Bo Van Pelt 73 73 Bubba Watson 71 68 Ernie Els 69 73 Reteif Goosen 65 71 Cameron Beckman 69 72 Jeff Klauk 67 68 Nick Watney 68 73 Kenny Perry 68 74 Tommy Armour III 77 73…Help me calculatea. Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? t-value (to 3 decimals) Degrees of freedom p-value is greater than 0.20 What is your conclusion? There is no significant difference between the mean scores for the first and final rounds. b. What is the point estimate of the difference between the two population means? (to 2 decimals) For which round is the population mean score lower? First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? Yes Explain. Use the point of the difference between the two population means and add and subtract this MOE. If zero is in the interval the difference is not statistically significant. If zero is not in the interval the difference is statistically significant.
- Fill in the missing values in the ANOVA tables below and answer the questions relating to each table and the provided plots. Df Sum Sq Mean Sq F-value p-value Group 2 27.159 7.2e-06 Residuals 94 189.58 Totals Table 1: Q9) ANOVA table. (a) How many treatment groups are there in this experiment and what was the total sample size? (b) What are Ho and HA relating to the F statistic in this table? (c) Let a = 0.001. Given the output of this table, what decision would you make about the hypotheses? (d) What does the p-value in this table represent as a probability with respect to the ANOVA hypotheses? (e) A Shapiro-Wilk test returned a p-value of 0.82. Using this information and the plots below, is there evidence that this analysis was not correctly done? Normal Q-Q Residuals vs Fitted 0130 813 .... 00 039 039 081 T 81° T -2 -1 1 10.0 10.5 11.0 11.5 Theoretical Quantiles Fitted values aov(ANOV_X ~ group) aov(ANOV_X ~ group) Figure 1: Q9) QQ-plot. Figure 2: Q9) Residual plot. Standardized…Do cars get better gas mileage on the highway? The table shows the mileage per gallon of cars on city streets and the mileage per gallon of cars on the highway. Assume that the two samples are randomly selected. At the 0.1 significance level, test the claim that the mean difference in miles per gallon is higher for cars on the city streets.(Be sure to subtract in the same direction). City (mpg) Highway (mpg) Difference (mpg) 18.4 28.5 26.3 32 22.7 30.7 19.7 29.5 21.3 31.8 17.9 21.3 24.1 23.2 25.2 25 What are the correct hypotheses? (Select the correct symbols and values.)H0: Select an answer μ s₁² μ₁ p σ₁² x̄₂ x̄₁ μ(d) ? ≠ ≤ ≥ = < > Select an answer x̄₁ p 0 x̄₂ μ₂ μ μ₁ s₁² σ₁² H1: Select an answer μ₁ x̄₁ x̄₂ μ₂ p μ(d) μ σ₂² s₂² ? ≤ > = ≥ ≠ < Select an answer x̄₂ 0 x̄₁ μ₂ μ p s₁² σ₁² μ₁ Original Claim = Select an answer H₀ H₁ df = Based on the hypotheses, find the following: Test Statistic = (Round to three decimal…To increase the chance of rejecting the null hypothesis, we must ensure that F-test is large enough by . . variation. .... the A. decreasing, between groups B. increasing, between group C. increasing, within groups D. decreasing, within groups A D Answer B.