applications. He produces a scatterplot with SAT scores on the linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below. Variable Sample Sample standard Variable description mean deviation high school SAT score x = 1504.291401 Sx = 105.782904 y freshman year GPA y = 3.240805 Sy = 0.441205 r= 0.506701 slope = 0.002113 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places.

This exercise requires the use of a statistical software package. The cotton aphid poses a threat to cotton crops. The accompanying data on y = Infestation rate (aphids/100 leaves) X1 = Mean temperature (°C) x2 = Mean relative humidity appeared in an article on the subject. ŷ y = 62 21.0 105 X1 88 28.3 41.5 94 26.0 56.0 97 27.5 58.0 101 27.1 31.0 x2 68 103 28.3 40.0 75 34.0 25.0 7 57.0 78 24.8 48.0 62 30.5 34.0 42 28.3 13.0 13 33.6 20.0 28 30.8 37.0 20 31.0 19.0 31 31.3 21.0 26.8 36.5 119 29.0 41.0 61 78 34.3 X1 33.0 24.5 19 33.0 21.0 6.0 43 32.0 28.0 X2 27.8 39.0 22 31.8 17.0 24 33.5 39 34.5 18.5 16.0 20 34.3 26.0 22 26.5 26.0 57 27.3 24.5 58 25.8 29.0 83 25.0 41.0 88 18.5 53.5 26.0 51.0 103 19.0 48.0 Find the estimated regression equation of the multiple regression model y = a + B₁X₁ + ₂×₂ + e. (Round your numerical values to two decimal places.) 107 18.0 70.0 98 16.3 79.5 Assess the utility of the multiple regression model using a significance level of 0.05. Calculate the test…

please help with 1,2,3.    Sample data are collected on the closing stock prices of Maman, Inc. Part of the descriptive statistics from EXCEL are displayed as follows. Answer the following questions. (Round off your results at 2 decimal places if the results are not integers.) Table 2 Descriptive Statistics (Stock price in $) Mean 16.41 Minimum 6.29 Median 16.83 Maximum 18.86 Variance 5.48 Range 12.57 Standard Deviation 2.34 Skewness -2.85 Sample size 117         1. Refer to Table 2 and comment on the shape of the distribution.    Group of answer choices   The skewness is -2.85, indicating that the data are highly skewed to the left. The mean and median are close, indicating that the distribution is symmetric. The variance is 5.48, indicating that there is a large variability in the data. The range is 12.57, indicating that the data are highly skewed to the right.       2. Assume the stock price has a…

An operations manager wants to know whether the maintenance of a filling machine for 2 litre milk bottles has made a difference in the average fill of the milk bottle. She randomly selects 25 bottles before the maintenance service, and 25 bottles after the maintenance service has taken place. The resulting SPSS output is shown below: Paired Samples Statistics   Mean N Std. Deviation Std. Error Mean Pair 1 After Service 2.0029 25 .01142 .00228   Before service 1.9687 25 .03193 .00639     Paired Samples Test   Paired Differences             t             df           Sig. (2- tailed)           Mean       Std. Deviation       Std. Error Mean 95% Confidence Interval of the Difference Lower Upper Pair 1 After Service – Before service   .03420   .03503   .00701   .01974   .04866   4.882   24   .000                        Question: Based on the output choose the most accurate answer

Closing price of two stocks are recorded for 50 days. The sample standard deviation of stock X is 7.240 and the sample standard deviation of stock Y is 9.833. The sample covariance is -$22.075. What is the correlation coefficient?

The incomes of math tutors in a tutoring center of a university are normally distributed with a mean of $1100 and a standard deviation of $150 what percentage of tutors earn less than $900 a month

1. A professor is interested in how attendance is related to grades her class. She goes through her records and determines each student’s final average and the number of days absent. The scores for her sample are given in the table below. a. Construct a scatter plot of the relationship between final averages and the number of days absent. b. Is there a significant relationship between final averages and the number of days absent? Calculate and interpret the correlation and report it in proper APA format. c. Compute r2 for the data. What percent of the variability in final averages is accounted for by the number days absent?

4. A study was conducted to investigate the relationship between the size of a house (in square feet) and the selling price of a house (in dollars). The response variable is price in dollars, and we want to study if the covariate of the square footage helps explain the response. A random sample of 522 houses was used, and the linear regression output from R is below. price sqft, data = house) 1m (formula = Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -81432.946 11551.846 -7.049 5.74e-12 *** sqft 158.950 4.875 32.605 < 2e-16 *** Residual standard error: 79120 on 520 degrees of freedom Multiple R-squared: 0.6715, Adjusted R-squared: 0.6709

Is the correlation about 0.02, 0.22, or 0.92 with the outlier?    Without this outlier, is the correlation about 0.18, 0.78, or 0.98?    Is the outlier is an influential point to the correlation?

An analysis is conducted to compare mean time to pain relief (measured in minutes) under four competing treatment regimens. Summary statistics on the four treatments are shown below.   Treatment Sample Size Mean Time to Relief Sample Variance A 5 34.9 17.7 B 5 27.0 8.7 C 5 51.2 15.9 D 5 39.6 16.8   Complete the following ANOVA Table.           Source of Variation SS df MS F Between Groups         Within Groups 3719.48                 Total