Textbook cost is one expense that university students often complain about. Does the cost of a book (in dollars) increase when the size of the book (in pages) does? The assumptions were checked, and are met

1) Which of the following is the correct choice for the hypotheses?

a. Ho: b1=0

Ha: B1/=0

b. Ho:B1=0

Ha:B1>0

c. Ho: B0=0

Ha:B0>0

d. Ho: b1=0

Ha:b1/=0

2. Define the parameter in context. This is not the same as writing Ho/Ha in words. Define the parameter, the symbol that is in both the Ho and the Ha.

3. The test statistics and p-value from the minitab output.

t=______

p-value=_____

4. Briefly assess the strength of the evidence. Which of the following best explains the strength of the p-value?

a. very strong evidence for Ha

b. strong evidence for Ha

c. moderate evidence for Ha

d. weak evidence for Ha

e. no evidence for Ha

5. State your conclusion in context

6. Calculate a 95% confidence interval for the population slope, and complete the interpretation below. For the numbers, enter your answer to 3 decimal places.

t*= ____

7. What percentage of the variation in cost of the book can be explained by variation in size of the book?

:_____%

8. Interpret the 95% confidence interval from MINITAB in the context of the problem

9. Identify the correct interpretation of the prediction interval on the output.

a. Since the assumptions are met, we predict with 95% confidence that for all university textbooks, their average cost will be between $22.75 and $147.31

b. Since the assumptions are met, we predict with 95% confidence that if we randomly select one university textbook, its predicted cost will increase by between $22.75 and $147.31

c. Since the assumptions are met, we predict with 95% confidence that if we randomly selected one university textbook, its predicted cost will be between $22.75 and $147.31

d. Since the assumptions are met, we predict with 95% confidence that if we randomly selected one university textbook, its predicted cost will be between $22.75 and $147.31

Scatterplot of Price vs Pages 180 160 140 120- 100 Price 80 60 40 20 200 400 600 800 1000 1200 Pages Fitted Line Plot Price = - 3.42 + 0.1473 Pages 180 S 29.7605 R-Sq 67.7% 160 R-Sqladj) 66.5%% 140 120 100 Price 80 60 40 20 200 400 600 800 1000 1200 PagesRegression Equation Price = -3.5 +0.1475 Pages Coefficients Term Coef SE Coef T-Value P-Value Constant -3.5 10. -0.33 0.744 Pages 0.1475 0.0193 7.65 0.000 Model Summary S R-sq R-sqladj) 29.7986 67.64% 66.49% Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Regression 51975 51974.8 58.53 0.000 Error 28 24863 868.0 Total 76838 Fits and Diagnostics for All Observations Obs Price Fit Resid Std Resid 1 95.00 85.03 9.97 0.34 19.95 9.97 9.98 0.35 3 51.50 26.04 25.46 0.88 4 128.50 55.53 72.97 2.49 R 5 96.00 73.38 22.62 0.77 48.50 43.00 5.50 0.19 7 147.75 114.52 33.23 1.16 8 92.00 114.52 -22.52 -0.79 9 19.50 85.03 -65.53 -2.25 R 10 85.50 6 68.51 16.99 0.58 11 18.67 -1.72 -0.06 12 9.95 17.19 -7.24 -0.25 13 25.16 -19.21 -0.67 14 58.75 59.22 -0.47 -0.02 15 6.50 4.07 2.43 0.09 16 70.75 133.69 -62.94 -2.26 R 17 4.95 -0.7 -0.02 18 115.25 129.27 -14.02 -0.50 19 158.00 106.56 51-44 1.79 20 6.50 11.88 -5.38 -0.19 21 130.50 99.18 31.32 1.08 22 7.00 39.90 -32.90 -1.13 23 41.25 74.12 -32.87 -1.12 24 169.75 152.86 16.89 0.63 25 71.25 70.58 0.67 0.02 26 82.25 8 -1.30 -0.04 27 12.98 46.10 -33.12 -1.13 28 127.00 116.88 10.12 0.36 29 41.50 49.05 -7.55 -0.26 30 31.00 33.12 -2.12 -0.07 R Large residual Prediction for Price Regression Equation Price = -3.5 +0.1475 Pages Settings Variable Setting Pages 600 Prediction Fit SE Fit 95% CI 95% PI 85.0279 6.03460 (72.6666, 97.3892) (22.7492, 147.307)Residual Plots for Price Normal Probability Plot Versus Fits 95 80 90 Percent 50 Residual -40 10 -80 -80 40 0 40 80 0 40 80 120 160 Residual Fitted Value Histogram Versus Order 80 12 40 Residual Frequency -40 Lu 0 -80 -60 -40 -20 0 20 40 60 80 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Residual Observation Order