OPS Income Name (X) (Y) Zim 35 9 Woody 67 17 Sullivan 50 36 Darth Vader 83 63 Homer Simpson 45 105 Mean Variance St.Dev. OPS 56 362 19 Income 46 1520 39

Instructions: The following is the recorded earthquakes on South Carolina from August, 2016 to February, 2017. Use the data to find the residuals. Then draw a residual plot by hand. Use the residual plot to determine if the linear model is the best regression model for this data. Magnitude Depth (km.) 1.7 2.9 1.1 0.8 1.4 1.9 0.7 3.2 0.8 4.3 1.9 4 1.7 6.3 1.9 6.9 1.9 0.9 | 1.1 Source: USGS Residual (Round to nearest tenth) 1.7 -2.2 1.1 -1.8 1.4 -2.0 0.7 -2.2

For the data below find a simple linear regression equation that relates the Advertising cost to the Sales. : SALES (S1,000) ADVERTISING (S100) 11 6. 3 10 2. 12 Also find the correlation coefficient (r) and the values of SST, SSE, and SSR. What is the predicte value for the sales if the advertisements were 10 (in $100)?

A baseball team claims that the mean length of its games is 2.4 hours. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is​ left-tailed, right-tailed, or​ two-tailed. Explain your reasoning.       State the null hypothesis in words and in symbols. Choose the correct answer below.     A. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is at most 2.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≤2.4​."   B. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is more than 2.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≠2.4​."   C. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is at least 2.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≥2.4​."   D. The null hypothesis expressed in words​ is, "the mean length of a baseball​…