Take the variable Car as a fixed effect. Do different additives have significantly different effect on boosting gas mileage?   Analysis of Variance Table   Response: mpg              Df Sum Sq Mean Sq F value    Pr(>F)    additive      2 31.262  15.631 23.3038 1.318e-06 *** car              2 65.152  32.576 48.5670 1.137e-09 *** additive:car  4 18.467   4.617  6.8829  0.000591 *** Residuals    27 18.110   0.671

Why can’t the following mode predict 100% of the variability in the price of a used Corolla?

what are the critical values r =?

Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore, and recorded the number of pages in each textbook and its cost. The bivariate data is shown below, Number of Pages (x) Cost(y) 962 93.96 246 25.68 803 62.24 907 80.56 640 68.2 944 77.52 847 78.76 919 71.52 591 59.28 393 47.44 476 42.08 A student calculates a linear model (Please show your answers to two decimal places) Use the model above to estimate the cost when number of pages is 955 Cost - $ (Please show your answer to 2 decimal places.) Submit Question F5 F6 F7 F8 F9 F3

I understand how to find the f-ratio and generate a conclusion however I am really struggling with the p-values.

Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and the profits (in millions of dollars). Determine if there is a significant linear correlation between advertising cost and profit Use a significance level of 0.01 and round all values to 4 decimal places. Advertising Cost Profit 3 21 4 16 5 29 17 7 28 8 21 Ho: p = 0 Ha: p +0 Find the Linear Correlation Coefficient r= Find the p-value p-value = The p-value is Less than (or equal to) a OGreater than a The p-value leads to a decision to Do Not Reject Ho OReject Ho OAccept Ho

Answer and show complete solution. Pls don't rejectIn a study on the settlement of piles used in building foundations, data on the observed pile settlement were collected and compared with the calculated/estimated values. The ratio of the observed to the calculated settlements is a measure of the accuracy of the calculation method. The ratios are shown in the table below and as can be observed, it shows considerable variability: Ratios of Observed Settlement to Calculated Settlement of Piles 0.12 0.97 0.86 1.14 0.94 2.37 0.88 0.92 1.01 0.99 1.02 1.04 0.99 0.87 0.52 0.94 1.06 1.38 1.04 1.18 1 0.86 0.82 0.84 1.09 a. Assuming that the ratio is a normal random variable, construct a probability plot and observe if the data points follow a linear trend.

3.Which model do you think is the “best” reduced model? Discuss why you choose this model. Analysis of Variance Table (Step back model) Response: rent           Df Sum Sq Mean Sq F value    Pr(>F)    age        1  21000   21000 17.1136 0.0003079 *** sqft       1  35364   35364 28.8196 1.134e-05 *** sd         1   5961    5961  4.8576 0.0362339 *  unts       1   8678    8678  7.0722 0.0130049 *  gar        1  33364   33364 27.1899 1.713e-05 *** cp         1   7641    7641  6.2269 0.0189934 *  Residuals 27  33131    1227                      --- Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1   Step forward model: Response: rent           Df Sum Sq Mean Sq F value    Pr(>F)    age        1  21000   21000 16.6255  0.000406 *** sqft       1  35364   35364 27.9976 1.757e-05 *** sd         1   5961    5961  4.7191  0.039517 *  unts       1   8678    8678  6.8705  0.014697 *  gar        1  33364   33364 26.4144 2.599e-05 *** cp         1   7641    7641  6.0493  0.021176 *…

Using the following information:    Coefficients Intercept -12.8094 Independent variable 2.1794 ANOVA   df SS MS F Regression 1 12,323.80 12,323.80 90.0481 Residual 8 1,454.602 136.8550   Total 9 13,778.4     What is the correlation coefficient?   Multiple Choice   0.8944   0.9457   −0.9457   0.8878