In a regression study, relating Price/unit (x) to Weekly Sales (in Kg.), with the scatter plot showing a strong negative direction, 63% of the variability in sales could be accounted for by the variation in the Unit Price. The correlation coefficient in this study is: 0.79 -0.4 -0.79 0.4
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In a regression study, relating Price/unit (x) to Weekly Sales (in Kg.), with the
0.79
-0.4
-0.79
0.4
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- A researcher developed a regression model to predict the cost of a meal based on the summated rating (sum of ratings for food, decor,and service) and the cost per meal for 12 restaurants. The results of the study show that b1=1.4379 and Sb1=0.1397. a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a meal? b. Construct a 95% confidence interval estimate of the population slope, β1. a. Determine the hypotheses for the test. Choose the correct answer below. A. H0: β1=0 H1: β1≠0 B. H0: β0≤0 H1: β0>0 C. H0: β1≤0 H1: β1>0 D. H0: β0≥0 H1: β0<0 E. H0: β1≥0 H1: β1<0 F. H0: β0=0 H1: β0≠0 Compute the test statistic. The test statistic is ? (Round to two decimal places as needed.) Determine the critical value(s). The critical value(s) is(are) ? (Use a comma to separate answers as needed.…A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n = 15 college students. The SAT scores have a mean of M = 580 with SS = 22,400, and the GPAs have a mean of 3.10 with SS = 1.26, and SP = 84. Find the regression equation for predicting GPA from SAT scores. What percentage of the variance in GPAs is accounted for by the regression equation? (Compute the correlation r, then find r^2.) Does the regression equation account for a significant portion of the variance in GPA? Use α = .05 to evaluate the F-ratio.A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-1.244 b=35.185 r=0.974169 r=-0.987 Assume the correlation is significant, and use this to predict the mumber of situps a person who watches 5.5 hours of TV can do (to one decimal place)
- true or false Correlations are expressed as either a positive or negative value between -1.0 and +1.0.approximately the same amount of wine per week. Here are the data (for drinkers only):" CANCER Wine intake x 2.5 8.5 15.5 26.5 (grams per day) Relative risk y 1.00 1.08 1.15 1.22 (a) Make a scatterplot of these data. Based on the scatter- plot, do you expect the correlation to be positive or negative? Near ±1 or not? (b) Find the correlation r between wine intake and relative risk. Do the data show that women who consume more wine tend to have higher relative risks of breast cancer? Wine and cancer in women. Some studies have suggested that a nightly glass of wine may not only take the edge off a day but also improve health. Is wine good for your health? A study of nearly 1.3 million middle-aged British women examined wine consumption and the risk of breast cancer. The researchers were interested in how risk changed as wine consumption increased. Risk is based on breast cancer rates in drinkers relative to breast cancer rates in nondrinkers in the study, with higher values indicating…A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+b a=-1.38 b=39.555 r2=0.693889 r=-0.833 Assume the correlation is significant, and use this to predict the number of situps a person who watches 7 hours of TV can do (to one decimal place)
- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.759 b=37.685 r2=0.674041 r=-0.821 Assume the correlation is significant, and use this to predict the number of situps a person who watches 11 hours of TV can do (to one decimal place)From a regression equation r2= 0.39 and the slope = -2.8 What is the linear correlation coefficient r?A linear model fit to predict weekly Sales of frozen pizza (in kilograms) from the average Price (in dollars per unit) charged by a sample of stores in 41 recent weeks is Sales = 141,870.25-24,445.32 Price. For the data used to create the model, the average Sales was 52,750 kilograms (SD = 10,282 kilograms) and the correlation between Price and Sales was r=-0.554. If the Price in a particular week was 2 SD higher than the mean Price, how much pizza would the model predict was sold that week? The model would predict that kilograms of frozen pizza were sold. (Round to the nearest integer as needed.)
- Can you please check my workA study was conducted to determine if the number of hours of sleep per night was related to exam performance on an exam taken the following day. The correlation coefficient was found to be .78. Which statement is FALSE? The relationship between hours of sleep and exam performance the following day is strong. As the number of hours of sleep increases, exam performance is also expected to increase at a similar rate. The r-value is .78. The number of hours of sleep cannot be used to estimate or predict possible performance on an exam the following day.Can you please check my work
